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# Frank solutions for Class 10 Mathematics chapter 25 - Probability

#### Frank Frank Class 10 Mathematics Part 2 ## Chapter 25: Probability

Exercise

#### Chapter 25: Probability Exercise Exercise solutions [Page 25]

Exercise | Q 1 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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

Exercise | Q 7.02 | Page 25

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

Exercise | Q 8.01 | Page 25

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

Exercise | Q 8.02 | Page 25

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

Exercise | Q 8.03 | Page 25

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

Exercise | Q 8.04 | Page 25

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

Exercise | Q 9.01 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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

(v) a face card

Exercise | Q 9.06 | Page 25

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 | Page 25

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

Exercise | Q 11.01 | Page 25

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

Exercise | Q 11.02 | Page 25

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

(ii) atmost 1 tail

Exercise | Q 12 | Page 25

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

Exercise | Q 13.01 | Page 25

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

Exercise | Q 13.02 | Page 25

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

(ii) two different digits

Exercise | Q 13.03 | Page 25

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

(iii) a difference of 1

Exercise | Q 14.01 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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

Exercise | Q 16.01 | Page 25

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 | Page 25

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 | Page 25

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 | Page 25

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

(i)two tails

Exercise | Q 17.02 | Page 25

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

(ii)no tail

Exercise | Q 17.03 | Page 25

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

(iii) atleast one tail

Exercise | Q 18.01 | Page 25

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

(i) a doublet

Exercise | Q 18.02 | Page 25

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

(ii)sum divisible by 5

Exercise | Q 18.03 | Page 25

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

(iii) a sum of at least 11

Exercise | Q 19 | Page 25

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

## Chapter 25: Probability

Exercise

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

Frank solutions for Class 10 Maths chapter 25 (Probability) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Frank Class 10 Mathematics Part 2 solutions in a manner that help students grasp basic concepts better and faster.

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

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