# Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 25 - Probability [Latest edition]

#### Chapters ## Chapter 25: Probability

Exercise
Exercise

### Frank solutions for ICSE Class 10 Mathematics Part 2 Chapter 25 Probability Exercise

Exercise | Q 1

A coin is tossed 800 times and the outcomes were noted as: Head:415 ,Tail:385

Find the probabiity of the min showing up (i)a head ,(ii) a tai .

Exercise | Q 2.01

1000 families with 2 children were selected randomly , and the following data were recorded :

 Number of girls in a family 0 1 2 Number of families 333 392 275

Find the probability of a family , having

(i) 1 girl

Exercise | Q 2.02

1000 families with 2 children were selected randomly , and the following data were recorded :

 Number of girls in a family 0 1 2 Number of families 333 392 275

Find the probability of a family , having
(ii) 2 girls

Exercise | Q 2.03

1000 families with 2 children were selected randomly , and the following data were recorded :

 Number of girls in a family 0 1 2 Number of families 333 392 275

Find the probability of a family , having

(iii) no girl

Exercise | Q 3

Two coins are tossed simultaneously 300 times and the outoomes are noted as :

Two tails : 83
Ole tail :140
No tai :77

Find the probabiity of Occurrence of each of these events.

Exercise | Q 4.01

A die is thrown 450 times and frequencies of the outcomes 1,2,3,4,5,6 were noted as given in the following table

 outcomes 1 2 3 4 5 6 Frequency 73 70 74 75 80 78

(i) 4

Exercise | Q 4.02

A die is thrown 450 times and frequencies of the outcomes 1,2,3,4,5,6 were noted as given in the following table

 outcomes 1 2 3 4 5 6 Frequency 73 70 74 75 80 78

(ii) a number < 4

Exercise | Q 4.03

A die is thrown 450 times and frequencies of the outcomes 1,2,3,4,5,6 were noted as given in the following table

 outcomes 1 2 3 4 5 6 Frequency 73 70 74 75 80 78

(iii) a number > 4

Exercise | Q 5.01

The percentage of marks obtained by a student in monthly unit tests are given below :

 Unit Test l ll lll lV V Vl Percentage of marks obtained 72 67 69 74 71 76

Based on this data find the probability that the student gets

(i) More than 70% marks in a unit test.

Exercise | Q 5.02

The percentage of marks obtained by a student in monthly unit tests are given below :

 Unit Test l ll lll lV V Vl Percentage of marks obtained 72 67 69 74 71 76

Based on this data find the probability that the student gets

(ii) less than 72% marks in a unit test.

Exercise | Q 5.03

The percentage of marks obtained by a student in monthly unit tests are given below :

 Unit Test l ll lll lV V Vl Percentage of marks obtained 72 67 69 74 71 76

Based on this data find the probability that the student gets

(iii) less than 65% marks in a unit test.

Exercise | Q 6.01

The heights of 60 students of a class are given in the following table :

 Height(in cm) 150-155 155-158 158-160 160-165 165-172 No. of students 8 20 25 4 3

Find the probability that the height of a student lies in the interval

(i) 155-158

Exercise | Q 6.02

The heights of 60 students of a class are given in the following table :

 Height(in cm) 150-155 155-158 158-160 160-165 165-172 No. of students 8 20 25 4 3

Find the probability that the height of a student lies in the interval

(ii) 150-160

Exercise | Q 6.03

The heights of 60 students of a class are given in the following table :

 Height(in cm) 150-155 155-158 158-160 160-165 165-172 No. of students 8 20 25 4 3

Find the probability that the height of a student lies in the interval

(iii) 158-172

Exercise | Q 7.01

A perfect cubic die is thrown .Find the probability that
(i) an even number comes up

Exercise | Q 7.02

A perfect cubic die is thrown .Find the probability that
(ii) a perfect square comes up.

Exercise | Q 8.01

An unbiased cubic die is thrown .Find the probability of getting (i) an odd number,

Exercise | Q 8.02

An unbiased cubic die is thrown .Find the probability of getting
(ii) a number greater than 2

Exercise | Q 8.03

An unbiased cubic die is thrown .Find the probability of getting
(iii) a number divisible by 2

Exercise | Q 8.04

An unbiased cubic die is thrown .Find the probability of getting
(iv) a number less than 4.

Exercise | Q 9.01

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

(i) a diamond

Exercise | Q 9.02

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

Exercise | Q 9.03

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

(iii) a king

Exercise | Q 9.04

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

(iv) an ace or a queen

Exercise | Q 9.05

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

Exercise | Q 9.06

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

(vi) a card bearing a number between 2 and 6 including both.

Exercise | Q 10

Two coins are tossed together . what is the probabilty of getting different faces on the coins ?

Exercise | Q 11.01

A coin is tossed twice . what is the probability of getting

Exercise | Q 11.02

A coin is tossed twice . what is the probability of getting

(ii) atmost 1 tail

Exercise | Q 12

There coins are tossed simultaneously . what is the probability of getting atleast two heads?

Exercise | Q 13.01

Two dice, one white and one red are rolled together .Find the probability of getting
(i) a sum of 6

Exercise | Q 13.02

Two dice, one white and one red are rolled together .Find the probability of getting

(ii) two different digits

Exercise | Q 13.03

Two dice, one white and one red are rolled together .Find the probability of getting

(iii) a difference of 1

Exercise | Q 14.01

A bag contains a red ball , a blue ball and a yellow ball , all the balls being of the  same size . Anjali takes out a ball from the bag without looking into it . what is the probability that she takes out .

(i) Yellow ball?

Exercise | Q 14.02

A bag contains a red ball , a blue ball and a yellow ball , all the balls being of the  same size . Anjali takes out a ball from the bag without looking into it . what is the probability that she takes out .

(ii) red ball?

Exercise | Q 14.03

A bag contains a red ball , a blue ball and a yellow ball , all the balls being of the  same size . Anjali takes out a ball from the bag without looking into it . what is the probability that she takes out .

(iii) blue ball?

Exercise | Q 15

If the probability of winning a game is 5/11,what is the probability of losing?

Exercise | Q 16.01

A box contains 5 red marbles, 8 white marbles and 4 grem marbles. One marble is taken out of the box at randam.

What is the probability that the marble taken out wil be
(i) red?

Exercise | Q 16.02

A box contains 5 red marbles, 8 white marbles and 4 grem marbles. One marble is taken out of the box at randam.

What is the probability that the marble taken out wil be
(ii) white?

Exercise | Q 16.03

A box contains 5 red marbles, 8 white marbles and 4 grem marbles. One marble is taken out of the box at randam.

What is the probability that the marble taken out wil be
(iii) not green?

Exercise | Q 17.01

Two different coins are tossed simultaneously .Find the probability of getting :

(i)two tails

Exercise | Q 17.02

Two different coins are tossed simultaneously .Find the probability of getting :

(ii)no tail

Exercise | Q 17.03

Two different coins are tossed simultaneously .Find the probability of getting :

(iii) atleast one tail

Exercise | Q 18.01

Two different dice are thrown at the same time. Find the probability of getting :

(i) a doublet

Exercise | Q 18.02

Two different dice are thrown at the same time. Find the probability of getting :

(ii)sum divisible by 5

Exercise | Q 18.03

Two different dice are thrown at the same time. Find the probability of getting :

(iii) a sum of at least 11

Exercise | Q 19

Two dice are rolled simultaneously, write down the total number of possible outcomes.

## Chapter 25: Probability

Exercise ## Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 25 - Probability

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Concepts covered in ICSE Class 10 Mathematics Part 2 chapter 25 Probability are Probability - A Theoretical Approach, Sample Space, Type of Event - Complementry, Simple Problems on Single Events, Random Experiments, Basic Ideas of Probability.

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