# NCERT Exemplar solutions for Class 10 Mathematics chapter 13 - Statistics and Probability [Latest edition]

## Solutions for Chapter 13: Statistics and Probability

Below listed, you can find solutions for Chapter 13 of CBSE NCERT Exemplar for Class 10 Mathematics.

Exercise 13.1Exercise 13.2Exercise 13.3
Exercise 13.1 [Pages 157 - 161]

### NCERT Exemplar solutions for Class 10 Mathematics Chapter 13 Statistics and Probability Exercise 13.1 [Pages 157 - 161]

#### Choose the correct alternative:

Exercise 13.1 | Q 1 | Page 157

In the formula barx = a + (f_id_i)/f_i, for finding the mean of grouped data di’s are deviations from a of ______.

• Lower limits of the classes

• Upper limits of the classes

• Mid points of the classes

• Frequencies of the class marks

Exercise 13.1 | Q 2 | Page 157

While computing mean of grouped data, we assume that the frequencies are ______.

• Evenly distributed over all the classes

• Centred at the classmarks of the classes

• Centred at the upper limits of the classes

• Centred at the lower limits of the classes

Exercise 13.1 | Q 3 | Page 157

If xi’s are the midpoints of the class intervals of grouped data, fi’s are the corresponding frequencies and barx is the mean, then (f_ix_i - barx) is equal to ______.

• 0

• –1

• 1

• 2

Exercise 13.1 | Q 4 | Page 157

In the formula barx = a + h (f_iu_i)/f_i, for finding the mean of grouped frequency distribution, ui = ______.

• (x_i + a)/h

• h(x_i - a)

• (x_i - a)/h

• (a - x_i)/h

Exercise 13.1 | Q 5 | Page 158

The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its ______.

• Mean

• Median

• Mode

• All the three above

Exercise 13.1 | Q 6 | Page 158

For the following distribution:

 Class 0 – 5 5 – 10 10 – 15 15 – 20 20 – 25 Frequency 10 15 12 20 9

the sum of lower limits of the median class and modal class is:

• 15

• 25

• 30

• 35

Exercise 13.1 | Q 7 | Page 158

Consider the following frequency distribution:

 Class 0 – 5 6 – 11 12 – 17 18 – 23 24 – 29 Frequency 13 10 15 8 11

The upper limit of the median class is ______.

• 17

• 17.5

• 18

• 18.5

Exercise 13.1 | Q 8 | Page 158

For the following distribution:

 Marks Number of students Below 10 3 Below 20 12 Below 30 27 Below 40 57 Below 50 75 Below 60 80

The modal class is ______.

• 10 - 20

• 20 - 30

• 30 - 40

• 50 - 60

Exercise 13.1 | Q 9 | Page 158

Consider the data:

 Class 65 - 85 85 - 105 105 - 125 125 - 145 145 - 165 165 - 185 185 - 205 Frequency 4 5 13 20 14 7 4

The difference of the upper limit of the median class and the lower limit of the modal class is ______.

• 0

• 19

• 20

• 38

Exercise 13.1 | Q 10 | Page 159

The times, in seconds, taken by 150 athletes to run a 110 m hurdle race are tabulated below:

 Class Frequency 13.8 - 14.0 2 14.0 - 14.2 4 14.2 - 14.4 5 14.4 - 14.6 71 14.6 - 14.8 48 14.8 - 15.0 20

The number of athletes who completed the race in less than 14.6 seconds is ______.

• 11

• 71

• 82

• 130

Exercise 13.1 | Q 11 | Page 159

For the following distribution:

 Marks obtained No. of students More than or equal to 0 63 More than or equal to 10 58 More than or equal to 20 55 More than or equal to 30 51 More than or equal to 40 48 More than or equal to 50 42

the frequency of the class 20 - 30 is ______.

• 3

• 4

• 48

• 51

Exercise 13.1 | Q 12 | Page 159

If an event cannot occur then its probability is ______.

• 1

• 1/2

• 3/4

• 0

Exercise 13.1 | Q 13 | Page 159

Which of the following cannot be the probability of an event?

• 1/3

• 0.1

• 3%

• 17/16

Exercise 13.1 | Q 14 | Page 159

An event is very unlikely to happen. Its probability is closest to ______.

• 0.0001

• 0.001

• 0.01

• 0.1

Exercise 13.1 | Q 15 | Page 159

If the probability of an event is P, the probability of its complimentary event will be ______.

• P – 1

• P

• 1 – p

• 1 - 1/"P"

Exercise 13.1 | Q 16 | Page 160

The probability expressed as a percentage of a particular occurrence can never be ______.

• Less than 100

• Less than 0

• Greater than 1

• Anything but a whole number

Exercise 13.1 | Q 17 | Page 160

If P(A) denotes the probability of an event A, then ______.

• P(A) < 0

• P(A) > 1

• 0 ≤ P(A) ≤ 1

• –1 ≤ P(A) ≤ 1

Exercise 13.1 | Q 18 | Page 160

If a card is selected from a deck of 52 cards, then the probability of its being a red face card is ______.

• 3/26

• 3/13

• 2/13

• 1/2

Exercise 13.1 | Q 19 | Page 160

The probability that a non leap year selected at random will contain 53 sundays is ______.

• 1/7

• 2/7

• 3/7

• 5/7

Exercise 13.1 | Q 20 | Page 160

When a die is thrown, the probability of getting an odd number less than 3 is ______.

• 1/6

• 1/3

• 1/2

• 0

Exercise 13.1 | Q 21 | Page 160

A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is ______.

• 4

• 13

• 48

• 51

Exercise 13.1 | Q 22 | Page 160

The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is ______.

• 7

• 14

• 21

• 28

Exercise 13.1 | Q 23 | Page 160

A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6,000 tickets are sold, how many tickets has she bought?

• 40

• 240

• 480

• 750

Exercise 13.1 | Q 24 | Page 160

One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is ______.

• 1/5

• 3/5

• 4/5

• 1/3

Exercise 13.1 | Q 25 | Page 160

Someone is asked to take a number from 1 to 100. The probability that it is a prime is ______.

• 1/5

• 6/25

• 1/4

• 13/50

Exercise 13.1 | Q 26 | Page 161

A school has five houses A, B, C, D and E. A class has 23 students, 4 from house A, 8 from house B, 5 from house C, 2 from house D and rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from A, B and C is ______.

• 4/23

• 6/23

• 8/23

• 17/23

Exercise 13.2 [Pages 161 - 163]

### NCERT Exemplar solutions for Class 10 Mathematics Chapter 13 Statistics and Probability Exercise 13.2 [Pages 161 - 163]

Exercise 13.2 | Q 1 | Page 161

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.

Exercise 13.2 | Q 2 | Page 161

In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula barx = a + (f_i d_i)/f_i where a is the assumed mean. a must be one of the mid-points of the classes. Is the last statement correct? Justify your answer.

Exercise 13.2 | Q 3 | Page 162

Is it true to say that the mean, mode and median of grouped data will always be different? Justify your answer

Exercise 13.2 | Q 4 | Page 162

Will the median class and modal class of grouped data always be different? Justify your answer.

Exercise 13.2 | Q 5 | Page 162

In a family having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is 1/4. Is this correct? Justify your answer

Exercise 13.2 | Q 6 | Page 162

A game consists of spinning an arrow which comes to rest pointing at one of the regions (1, 2 or 3) (figure). Are the outcomes 1, 2 and 3 equally likely to occur? Give reasons.

Exercise 13.2 | Q 7 | Page 162

Apoorv throws two dice once and computes the product of the numbers appearing on the dice. Peehu throws one die and squares the number that appears on it. Who has the better chance of getting the number 36? Why?

Exercise 13.2 | Q 8 | Page 162

When we toss a coin, there are two possible outcomes - Head or Tail. Therefore, the probability of each outcome is 1/2. Justify your answer.

Exercise 13.2 | Q 9 | Page 162

A student says that if you throw a die, it will show up 1 or not 1. Therefore, the probability of getting 1 and the probability of getting ‘not 1’ each is equal to 1/2. Is this correct? Give reasons.

Exercise 13.2 | Q 10 | Page 162

I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, I say that probability of no heads is 1/4. What is wrong with this conclusion?

Exercise 13.2 | Q 11 | Page 162

If you toss a coin 6 times and it comes down heads on each occasion. Can you say that the probability of getting a head is 1? Give reasons.

Exercise 13.2 | Q 12 | Page 163

Sushma tosses a coin 3 times and gets tail each time. Do you think that the outcome of next toss will be a tail? Give reasons.

Exercise 13.2 | Q 13 | Page 163

If I toss a coin 3 times and get head each time, should I expect a tail to have a higher chance in the 4th toss? Give reason in support of your answer.

Exercise 13.2 | Q 14 | Page 163

A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes, so, the probability of each is 1/2. Justify

Exercise 13.3 [Pages 166 - 174]

### NCERT Exemplar solutions for Class 10 Mathematics Chapter 13 Statistics and Probability Exercise 13.3 [Pages 166 - 174]

Exercise 13.3 | Q 1 | Page 166

Find the mean of the distribution:

 Class 1 – 3 3 – 5 5 – 7 7 – 10 Frequency 9 22 27 17
Exercise 13.3 | Q 2 | Page 166

Calculate the mean of the scores of 20 students in a mathematics test:

 Marks 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 Number of students 2 4 7 6 1
Exercise 13.3 | Q 3 | Page 166

Calculate the mean of the following data:

 Class 4 – 7 8 –11 12– 15 16 –19 Frequency 5 4 9 10
Exercise 13.3 | Q 4 | Page 167

The following table gives the number of pages written by Sarika for completing her own book for 30 days:

 Number of pages written per day 16 – 18 19 – 21 22 – 24 25 – 27 28 – 30 Number of days 1 3 4 9 13

Find the mean number of pages written per day.

Exercise 13.3 | Q 5 | Page 167

The daily income of a sample of 50 employees are tabulated as follows:

 Income(in Rs) 1 – 200 201 – 400 401 – 600 601 – 800 Number of employees 14 15 14 7

Find the mean daily income of employees.

Exercise 13.3 | Q 6 | Page 167

An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table:

 Number of seats 100 – 104 104 – 108 108 – 112 112 – 116 116 – 120 Frequency 15 20 32 18 15
Exercise 13.3 | Q 7 | Page 167

The weights (in kg) of 50 wrestlers are recorded in the following table:

 Weight (in kg) 100 – 110 110 – 120 120 – 130 130 – 140 140 – 150 Number of wrestlers 4 14 21 8 3

Find the mean weight of the wrestlers.

Exercise 13.3 | Q 8 | Page 167

The mileage (km per litre) of 50 cars of the same model was tested by a manufacturer and details are tabulated as given below:

 Mileage(km/l) 10 – 12 12 – 14 14 – 16 16 – 18 Number of cars 7 12 18 13

Find the mean mileage. The manufacturer claimed that the mileage of the model was 16 km/litre. Do you agree with this claim?

Exercise 13.3 | Q 9 | Page 168

The following is the distribution of weights (in kg) of 40 persons:

 Weight (in kg) 40–45 45–50 50–55 55–60 60–65 65–70 70–75 75–80 Number of persons 4 4 13 5 6 5 2 1

Construct a cumulative frequency distribution (of the less than type) table for the data above.

Exercise 13.3 | Q 10 | Page 168

The following table shows the cumulative frequency distribution of marks of 800 students in an examination:

 Marks Number of students Below 10 10 Below 20 50 Below 30 130 Below 40 270 Below 50 440 Below 60 570 Below 70 670 Below 80 740 Below 90 780 Below 100 800

Construct a frequency distribution table for the data above.

Exercise 13.3 | Q 11 | Page 169

Form the frequency distribution table from the following data:

 Marks (out of 90) Number of candidates More than or equal to 80 4 More than or equal to 70 6 More than or equal to 60 11 More than or equal to 50 17 More than or equal to 40 23 More than or equal to 30 27 More than or equal to 20 30 More than or equal to 10 32 More than or equal to 0 34
Exercise 13.3 | Q 12 | Page 169

Find the unknown entries a, b, c, d, e, f in the following distribution of heights of students in a class:

 Height(in cm) Frequency Cumulative frequency 150 – 155 12 a 155 – 160 b 25 160 – 165 10 c 165 – 170 d 43 170 – 175 e 48 175 – 180 2 f Total 50
Exercise 13.3 | Q 13.(i) | Page 169

The following are the ages of 300 patients getting medical treatment in a hospital on a particular day:

 Age (in years) 10-20 20-30 30-40 40-50 50-60 60-70 Number of patients 60 42 55 70 53 20

Form: Less than type cumulative frequency distribution.

Exercise 13.3 | Q 13.(ii) | Page 169

The following are the ages of 300 patients getting medical treatment in a hospital on a particular day:

 Age (in years) 10-20 20-30 30-40 40-50 50-60 60-70 Number of patients 60 42 55 70 53 20

Form: More than type cumulative frequency distribution.

Exercise 13.3 | Q 14 | Page 170

Given below is a cumulative frequency distribution showing the marks secured by 50 students of a class :

 Marks Below 20 Below 40 Below 60 Below 80 Below 100 Number of students 17 22 29 37 50

Form the frequency distribution table for the data.

Exercise 13.3 | Q 15 | Page 170

Weekly income of 600 families is tabulated below :

 Weekly income(in Rs) Number of families 0 - 1000 250 1000 - 2000 190 2000 - 3000 100 3000 - 4000 40 4000 - 5000 15 5000 - 6000 5 Total 600

Compute the median income.

Exercise 13.3 | Q 16 | Page 170

The maximum bowling speeds, in km per hour, of 33 players at a cricket coaching centre are given as follows:

 Speed (km/h) 85 - 100 100 - 115 115 - 130 130 - 145 Number of players 11 9 8 5

Calculate the median bowling speed.

Exercise 13.3 | Q 17 | Page 171

The monthly income of 100 families are given as below:

 Income (in Rs) Number of families 0 - 5000 8 5000 - 10000 26 10000 - 15000 41 15000 - 20000 16 20000 - 25000 3 25000 - 30000 3 30000 - 35000 2 35000 - 40000 1

Calculate the modal income.

Exercise 13.3 | Q 18 | Page 171

The weight of coffee in 70 packets are shown in the following table:

 Weight (in g) Number of packets 200 - 201 12 201 - 202 26 202 - 203 20 203 - 204 9 204 - 205 2 205 - 206 1

Determine the modal weight.

Exercise 13.3 | Q 19.(i) | Page 171

Two dice are thrown at the same time. Find the probability of getting same number on both dice.

Exercise 13.3 | Q 19.(ii) | Page 171

Two dice are thrown at the same time. Find the probability of getting different numbers on both dice.

Exercise 13.3 | Q 20.(i) | Page 171

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is 7?

Exercise 13.3 | Q 20.(ii) | Page 171

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is a prime number?

Exercise 13.3 | Q 20.(iii) | Page 171

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is 1?

Exercise 13.3 | Q 21.(i) | Page 172

Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 6

Exercise 13.3 | Q 21.(ii) | Page 172

Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 12

Exercise 13.3 | Q 21.(iii) | Page 172

Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 7

Exercise 13.3 | Q 22 | Page 172

Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.

Exercise 13.3 | Q 23 | Page 172

Two dice are numbered 1, 2, 3, 4, 5, 6 and 1, 1, 2, 2, 3, 3, respectively. They are thrown and the sum of the numbers on them is noted. Find the probability of getting each sum from 2 to 9 separately.

Exercise 13.3 | Q 24 | Page 172

A coin is tossed two times. Find the probability of getting at most one head.

Exercise 13.3 | Q 25.(i) | Page 172

A coin is tossed 3 times. List the possible outcomes. Find the probability of getting all heads

Exercise 13.3 | Q 25.(ii) | Page 172

A coin is tossed 3 times. List the possible outcomes. Find the probability of getting at least 2 heads

Exercise 13.3 | Q 26 | Page 172

Two dice are thrown at the same time. Determine the probabiity that the difference of the numbers on the two dice is 2.

Exercise 13.3 | Q 27.(i) | Page 172

A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this ball being a red ball

Exercise 13.3 | Q 27.(ii) | Page 172

A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this ball being a green ball

Exercise 13.3 | Q 27.(iii) | Page 172

A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this ball being a not a blue ball

Exercise 13.3 | Q 28.(i) | Page 172

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is a heart

Exercise 13.3 | Q 28.(ii) | Page 172

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is a king

Exercise 13.3 | Q 29.(i) | Page 172

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. What is the probability that the card is a club

Exercise 13.3 | Q 29.(ii) | Page 172

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. What is the probability that the card is 10 of hearts

Exercise 13.3 | Q 30.(i) | Page 172

All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value 7

Exercise 13.3 | Q 30.(ii) | Page 172

All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value greater than 7

Exercise 13.3 | Q 30.(iii) | Page 172

All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value less than 7

Exercise 13.3 | Q 31.(i) | Page 172

An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?

Exercise 13.3 | Q 31.(ii) | Page 172

An integer is chosen between 0 and 100. What is the probability that it is not divisible by 7?

Exercise 13.3 | Q 32.(i) | Page 172

Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has an even number

Exercise 13.3 | Q 32.(ii) | Page 172

Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has a square number

Exercise 13.3 | Q 33 | Page 173

A letter of English alphabets is chosen at random. Determine the probability that the letter is a consonant.

Exercise 13.3 | Q 34 | Page 173

There are 1000 sealed envelopes in a box, 10 of them contain a cash prize of Rs 100 each, 100 of them contain a cash prize of Rs 50 each and 200 of them contain a cash prize of Rs 10 each and rest do not contain any cash prize. If they are well shuffled and an envelope is picked up out, what is the probability that it contains no cash prize?

Exercise 13.3 | Q 35 | Page 173

Box A contains 25 slips of which 19 are marked Re 1 and other are marked Rs 5 each. Box B contains 50 slips of which 45 are marked Rs 1 each and others are marked Rs 13 each. Slips of both boxes are poured into a third box and resuffled. A slip is drawn at random. What is the probability that it is marked other than Re 1?

Exercise 13.3 | Q 36 | Page 173

A carton of 24 bulbs contain 6 defective bulbs. One bulbs is drawn at random. What is the probability that the bulb is not defective? If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, what is the probability that the second bulb is defective?

Exercise 13.3 | Q 37.(i) | Page 173

A child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a triangle

Exercise 13.3 | Q 37.(ii) | Page 173

A child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a square

Exercise 13.3 | Q 37.(iii) | Page 173

A child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a square of blue colour

Exercise 13.3 | Q 37.(iv) | Page 173

A child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a triangle of red colour

Exercise 13.3 | Q 38.(i) | Page 173

In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she loses the entry fee.

Exercise 13.3 | Q 38.(ii) | Page 173

In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she gets double entry fee.

Exercise 13.3 | Q 38.(iii) | Page 173

In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she just gets her entry fee.

Exercise 13.3 | Q 39.(i) | Page 173

A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and the total score is recorded. How many different scores are possible?

Exercise 13.3 | Q 39.(ii) | Page 173

A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and the total score is recorded. What is the probability of getting a total of 7?

Exercise 13.3 | Q 40.(i) | Page 173

A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defects and 3 have major defects. Varnika will buy a phone if it is good but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is acceptable to Varnika?

Exercise 13.3 | Q 40.(ii) | Page 173

A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defects and 3 have major defects. Varnika will buy a phone if it is good but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is acceptable to the trader?

Exercise 13.3 | Q 41.(i) | Page 174

A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is not red?

Exercise 13.3 | Q 41.(ii) | Page 174

A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is white?

Exercise 13.3 | Q 42.(i) | Page 174

At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the first player wins a prize?

Exercise 13.3 | Q 42.(ii) | Page 174

At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the second player wins a prize, if the first has won?

## Solutions for Chapter 13: Statistics and Probability

Exercise 13.1Exercise 13.2Exercise 13.3

## NCERT Exemplar solutions for Class 10 Mathematics chapter 13 - Statistics and Probability

Shaalaa.com has the CBSE Mathematics Class 10 Mathematics CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT Exemplar solutions for Mathematics Class 10 Mathematics CBSE 13 (Statistics and Probability) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

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Concepts covered in Class 10 Mathematics chapter 13 Statistics and Probability are Sample Space, Concept Or Properties of Probability, Simple Problems on Single Events, Probability - A Theoretical Approach, Basic Ideas of Probability, Basic Ideas of Probability, Mean of Grouped Data, Mode of Grouped Data, Median of Grouped Data, Graphical Representation of Cumulative Frequency Distribution, Ogives (Cumulative Frequency Graphs), Concepts of Statistics, Concepts of Statistics.

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