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probability examples and solutions

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A brother and sister appear for an interview against two vacant posts in an office. The probability of the brother’s selection is 1/5th and that of the sister’s selections is 1/3rd. What is the probability that one of them is selected ?

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Answer : B. 2/5

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

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Answer : D. 9/20...

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?

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Answer : A. 1/3

A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow ?

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Answer : A. 2/91

Two cards are drawn together from a pack of 52 cards. The probability that one is a club and one is a diamond ?

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Answer : C. 13/102...

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