Aptitude  Probability  Practice Q&A

1. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

$ \dfrac{21}{46} $ $ \dfrac{25}{117} $ $ \dfrac{1}{50} $ $ \dfrac{3}{25} $

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2. 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?

$ \dfrac{1}{2} $ $ \dfrac{2}{5} $ $ \dfrac{8}{15} $ $ \dfrac{9}{20} $

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3. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

$ \dfrac{10}{21} $ $ \dfrac{11}{21} $ $ \dfrac{2}{7} $ $ \dfrac{5}{7} $

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4. What is the probability of getting a sum 9 from two throws of a dice?

$ \dfrac{1}{6} $ $ \dfrac{1}{8} $ $ \dfrac{1}{9} $ $ \dfrac{1}{12} $

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5. Two cards are drawn together at random from a pack of 52 cards. What is the probability of both the cards being Queens?

1/52 1/221 2/221 1/26

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6. Three unbiased coins are tossed. What is the probability of getting at most two heads?

$ \dfrac{3}{4} $ $ \dfrac{1}{4} $ $ \dfrac{3}{8} $ $ \dfrac{7}{8} $

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7. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

$ \dfrac{1}{22} $ $ \dfrac{3}{22} $ $ \dfrac{2}{91} $ $ \dfrac{2}{77} $

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

13/51 1/52 13/102 1/26

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9. John and Dani go for an interview for two vacancies. The probability for the selection of John is 1/3 and whereas the probability for the selection of Dani is 1/5. What is the probability that only one of them is selected?

3/5 None of these 2/5 1/5

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