Probability — sample questions with answers.

3251 verified probability questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Assertion–Reason

Assertion (A): A bag has

red and

blue balls; the probability of drawing a red ball is

.
Reason (R): The probability of an event is the number of favourable outcomes divided by the total number of outcomes.

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).	(B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true but Reason (R) is false.	(D) Assertion (A) is false but Reason (R) is true.

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(A)

2 marks Short answer

One card is drawn at random from a well-shuffled deck of

cards. Find the probability of getting a red face card.

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3 marks Short answer

Cards numbered

are placed in a box and mixed thoroughly, and one card is drawn at random. Find the probability that the number on the card is (i) a multiple of

, (ii) not a multiple of

, (iii) a perfect square.

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(i)

(ii)

(iii)

5 marks Long answer

A bag contains

red balls and some blue balls. All the balls are identical apart from colour. If the probability of drawing a blue ball at random is

, find the number of blue balls in the bag. Then

more blue balls are put into the bag; find the new probability of drawing a blue ball, and the probability of drawing a red one.

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blue balls; then blue

and red

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 10 Mathematics, board-pattern, with a fresh answer key every time.

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