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Problem 2

In a bag there are 5 white and 10 black balls. If ball is drawn at random from it, what is the probability that it is white?

Problem 3

An urn contains 7 red and 4 blue balls. Two balls are drawn at random with replacement. Find the probability of getting: [CBSE-2007] (i) 2 red balls. (ii) 2 blue balls. (iii) 1 red and 1 blue ball.

Problem 5

Find the probability that the two digit number formed by digits \(1,2,3,4,5\) is divisible by 4 (while repetition of digit is allowed): (a) \(1 / 30\) (b) \(1 / 20\) (c) \(1 / 40\) (d) \(1 / 5\)

Problem 5

Three coins are tossed simultaneously. List the sample space of the random experiment. [CBSE-91]

Problem 6

Find the probability of drawing a diamond card in each of the two consecutive draws from a well-shuffled pack of cards, if the card drawn is not replaced after the first draw. [CBSE-2002(C)]

Problem 7

From a pack of 52 cards 2 cards are drawn in succession one by one without replacement. The probability that both are aces is (a) \(2 / 13\) (b) \(1 / 51\) (c) \(1 / 221\) (d) \(2 / 21\)

Problem 12

A die is tossed. The event an even or a prime number occurs on the top of the die is (a) \(\\{2,5\\}\) (c) \(\\{1,2,3,5\\}\) (b) \(\\{2,3,4,5,6\\}\) (d) None of these

Problem 13

If \(A\) and \(B\) are two independent events such that \(P\left(A \cap B^{\prime}\right)=3 / 25\) and \(P\left(A^{\prime} \cap B\right)=8 / 25\), then \(P(A)\) is (a) \(1 / 5\) (c) \(2 / 5\) (b) \(3 / 8\) (d) \(4 / 5\)

Problem 19

Two dice are thrown together. The probability that sum of the two numbers will be a multiple of 4 is (a) \(1 / 9\) (b) \(1 / 3\) (c) \(1 / 4\) (d) \(5 / 9\)

Problem 25

Two dice are thrown. What is the probability that the sum of the faces equals or exceeds \(10 ?\) (a) \(1 / 12\) (b) \(1 / 4\) (c) \(1 / 3\) (d) \(1 / 6\)

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