#### Chapters

Chapter 2: Sales Tax and Value Added Tax

Chapter 3: Banking

Chapter 4: Shares and Dividends

Chapter 5: Linear Inequations

Chapter 6: Quadratic Equations

Chapter 7: Problems Based On Quadratic Equations

Chapter 8: Reflection

Chapter 9: Ratio and Proportion

Chapter 10: Remainder And Factor Theorems

Chapter 11: Matrices

Chapter 12: Distance and Section Formulae

Chapter 13: Equation of A Straight Line

Chapter 14: Symmetry

Chapter 15: Similarity

Chapter 16: Loci

Chapter 17: Circles

Chapter 18: Constructions

Chapter 19: Mensuration I

Chapter 20: Mensuration II

Chapter 21: Trigonometric Identities

Chapter 22: Heights and Distances

Chapter 23: Graphical Representations

Chapter 24: Measures Of Central Tendency

Chapter 25: Probability

## Chapter 25: Probability

#### Exercise

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

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 .

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

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**

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**

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.

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

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

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

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.

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.

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.

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

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

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

A perfect cubic die is thrown .Find the probability that

(i) an even number comes up

A perfect cubic die is thrown .Find the probability that

(ii) a perfect square comes up.

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

An unbiased cubic die is thrown .Find the probability of getting

(ii) a number greater than 2

An unbiased cubic die is thrown .Find the probability of getting

(iii) a number divisible by 2

An unbiased cubic die is thrown .Find the probability of getting

(iv) a number less than 4.

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

(i) a diamond

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

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

(iii) a king

(iv) an ace or a queen

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.

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

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

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

(i) no head

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

(ii) atmost 1 tail

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

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

(i) a sum of 6

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

(ii) two different digits

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

(iii) a difference of 1

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?

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?

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?

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

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?

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?

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?

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

(i)two tails

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

(ii)no tail

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

(iii) atleast one tail

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

(i) a doublet

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

(ii)sum divisible by 5

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

(iii) a sum of at least 11

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

## Chapter 25: Probability

## 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 Introduction to Probability, Probability - A Theoretical Approach, Sample Space, Type of Event - Complementry, Simple Problems on Single Events, Random Experiments.

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