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Probability Mathematics - Probability

ICSE - STD 10 - Mathematics (ICSE - English Medium). 44 questions in this chapter.

Question types

Probability question types

44 questions across 4 question groups — pick any mix to generate a Mathematics paper with step-by-step answer keys.

44
Questions
4
Question groups
5
Question types
Sample Questions

Probability questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[3 marks sum]3 Marks
A ball is chosen from a bag that contains 30 balls numbered from 1 to 30 . What is the probability that the ball chosen will have a number that is divisible by 3 ?
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Q 3[3 marks sum]3 Marks
If an unbiased dice is thrown 5 times and every throw resulted in a 6 , what is the probability of getting a 6 on the sixth throw?
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Q 4[3 marks sum]3 Marks
There are 5 green, 6 black and 7 white balls in a bag. A ball is drawn at random from the bag. Find the probability that it is not white.
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Q 5[3 marks sum]3 Marks
From a set of 17 cards numbered $1,2,3 \ldots 17$, one card is drawn at random. What is the probability that number on the drawn card is multiple of 3 or 7 ?
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Q 7[4 marks sum]4 Marks
Two dice are thrown at the same time. Write down all the outcomes. Find the probability that the sum of the two number appearing on the dice is.
(a) 8
(b) 13
(c) lesser than or equal to 12
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Q 8[4 marks sum]4 Marks
A box contains 3 black balls, 4 red balls and 3 green balls. All the balls are identical in shape and size. Rohit takes out a ball from the bag without looking into it. What is the probability that the ball drawn is a black or green ball?
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Q 10[4 marks sum]4 Marks
A bag contains red, blue and green balls. It is twice as likely to pick a blue ball as compared to a red ball, it is thrice as likely to pick a green ball as compared to a red ball. What is the probability of picking a green ball?
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Q 11MCQ1 Mark
A box contains cards numbered 6 to 50 . A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square is :
  • A
    $\frac{1}{45}$
  • B
    $\frac{2}{15}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{4}{45}$
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Q 12MCQ1 Mark
Many birds were sitting on a tree. Every seventh bird was a sparrow. A bird flew away. What is the probability that the bird was not a sparrow?
  • A
    $\frac{5}{7}$
  • B
    $\frac{3}{7}$
  • C
    $\frac{6}{7}$
  • D
    $\frac{1}{7}$
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Q 13MCQ1 Mark
The probability of getting an even number, when a die is thrown once, is :
  • A
    $\frac{1}{2}$
  • B
    $\frac{1}{3}$
  • C
    $\frac{1}{6}$
  • D
    $\frac{5}{6}$
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Q 14MCQ1 Mark
In a single throw of two dice, the probability of getting 6 as a product is :
  • A
    $\frac{4}{9}$
  • B
    $\frac{2}{9}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{5}{9}$
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Q 15MCQ1 Mark
Someone is asked to take a number from 1 to 100 . The probability that it is prime is:
  • A
    $\frac{1}{5}$
  • B
    $\frac{6}{25}$
  • C
    $\frac{1}{4}$
  • D
    $\frac{13}{50}$
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Q 16Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) : If the probability of an event is $p$, then we always have $0 \leq p \leq 1$.
Reason (R) : Probability of a sure event is 1 and the probability of an impossible event is -1 .
  • ✓
    A is true, R is false.
  • B
    A is false, R is true.
  • C
    Both A and R are true, and R is the correct reason for A .
  • D
    Both A and R are true, and R is incorrect reason for A .

Answer: A.

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Q 17Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) : If we toss a coin once, the probability of getting a head and a tail are equal.
Reason (R) : If we toss a coin, then the number of possible outcomes is 2.
  • A
    A is true, R is false.
  • B
    A is false, R is true.
  • C
    Both A and R are true, and R is the correct reason for A .
  • ✓
    Both A and R are true, and R is incorrect reason for A .

Answer: D.

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Q 18Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) : The probability that a leap year has 53 Sundays is $\frac{1}{7}$.
Reason (R): A non leap year has 365 days.
  • A
    A is true, R is false.
  • B
    A is false, R is true.
  • C
    Both A and R are true, and R is the correct reason for A .
  • ✓
    Both A and R are true, and R is incorrect reason for A .

Answer: D.

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Q 19Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) : The probability of getting an even number or an odd number in a single throw of a die is 1.
Reason (R) : The sum of the probabilities of all the elementary events of an experiment is 1 .
  • A
    A is true, R is false.
  • ✓
    A is false, R is true.
  • C
    Both A and R are true, and R is the correct reason for A .
  • D
    Both A and R are true, and R is incorrect reason for A .

Answer: B.

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