Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day - Mathematics

Advertisements
Advertisements
Numerical

Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on

  1. the same day?
  2. consecutive days?
  3. different days?
Advertisements

Solution

There are a total of 5 days. Shyam can go to the shop in 5 ways and Ekta can go to the shop in 5 ways.

Therefore, total number of outcomes = 5 × 5 = 25

(i) They can reach on the same day in 5 ways.

i.e., (t, t), (w, w), (th, th), (f, f), (s, s)

P (both will reach on same day)  = `5/25 = 1/5`

(ii) They can reach on consecutive days in these 8 ways - (t, w), (w, th), (th, f), (f, s), (w, t), (th, w), (f, th), (s, f).

Therefore, P (both will reach on consecutive days) = `8/25`

(iii) P (both will reach on same day)  = `1/5`       ...[(From (i)]

P (both will reach on different days) = `1 - 1/5 = 4/5`

  Is there an error in this question or solution?
Chapter 15: Probability - Exercise 15.2 [Page 311]

APPEARS IN

NCERT Mathematics Class 10
Chapter 15 Probability
Exercise 15.2 | Q 1 | Page 311

RELATED QUESTIONS

12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.


  1. A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
  2. Suppose the bulb drawn in (1) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

If S = {2, 4, 6, 8, 10, 12} and A = {4, 8, 12}, find A'


What is the probability that an ordinary year has 53 Sundays?


A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is a red card


One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a jack of hearts


A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears a number which is a perfect square


The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the
probability of getting a card of queen


From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will: 

 not be a red card. 


Write the probability of a sure event


Seven cards:- the eight, the nine, the ten, jack, queen, king and ace of diamonds are well shuffled. One card is then picked up at random. 

What is the probability that the card drawn is the eight or the king? 


A bag contains 100 identical marble stones which are numbered 1 to 100. If one stone is drawn at random from the bag, find the probability that it bears:  

a number divisible by 4


A bag contains 100 identical marble stones which are numbered 1 to 100. If one stone is drawn at random from the bag, find the probability that it bears: 

a number divisible by 5 


Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting: 

at least two heads 


Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting 

all tails


Offices in Delhi are open for five days in a week (Monday to Friday). Two employees of an office remain absent for one day in the same particular week. Find the probability that they remain absent on: 

 consecutive day 


Offices in Delhi are open for five days in a week (Monday to Friday). Two employees of an office remain absent for one day in the same particular week. Find the probability that they remain absent on:  

 different days 


How many possibilities is following?

One number from 10 to 20 is written on each card. Select one card randomly.


Six faces of a die are as shown below.

If the die is rolled once, find the probability of - ‘A’ appears on upper face.


Length and breadth of a rectangular garden are 77 m and 50 m. There is a circular lake in the garden having diameter 14 m. Due to wind, a towel from a terrace on a nearby building fell into the garden. Then find the probability of the event that it fell in the lake.


In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probability that it will rest at an odd number.


In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probability that it will rest at  a number less than 9.


There are six cards in a box, each bearing a number from 0 to 5. Find the probability of the following event, that a card drawn show, a natural number.


There are six cards in a box, each bearing a number from 0 to 5. Find the probability of the following event, that a card drawn show, a number is greater than 5.


A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is – red.


A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is –not red.


A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is – either red or white.


Out of 200 students from a school, 135 like Kabbaddi and the remaining students do not like the game. If one student is selected at random from all the students, find the probability that the student selected dosen't like Kabbaddi.


A two digit number is to be formed from the digits 0, 1, 2, 3, 4. Repetition of the digits is allowed. Find the probability that the number so formed is a -  multiple of 4.


A die is rolled twice. Find the probability that 5 will come up exactly one time.


A card is drawn from a pack of well - shuffled 52 playing cards . Find the probability that the card drawn is 

(ii) a red card


In a lucky draw, there are 5 gifts and 25 blanks. The probability of getting a gift is ______.


The percentages of marks obtained by a student in six unit tests are given below:

Unit test 1 2 3 4 5 6
Percentage of
marks obtained
53 72 95 46 67 59

A unit test is selected at random. What is the probability that the student gets more than 60% marks in the test?


Two dice are rolled simultaneously. What is the probability that 6 will come up at least once?


A card is drawn at random from a well shuffled deck of 52 playing cards. The probability of getting a face card is ______.


Read the following passage:

"Eight Ball" is a game played on a pool table with 15 balls numbered 1 to 15 and a "cue ball" that is solid and white. Of the 15 numbered balls, eight are solid (non-white) coloured and numbered 1 to 8 and seven are striped balls numbered 9 to 15.


The 15 numbered pool balls (no cue ball) are placed in a large bowl and mixed, then one ball is drawn out at random.

Based on the above information, answer the following questions:

  1. What is the probability that the drawn ball bears number 8?
  2. What is the probability that the drawn ball bears an even number?
    OR
    What is the probability that the drawn ball bears a number, which is a multiple of 3?
  3. What is the probability that the drawn ball is a solid coloured and bears an even number?

Share
Notifications



      Forgot password?
Use app×