Practice Questions on Probability
Aptitude Questions and Answers

Difficult Probability Question - 11

Q11.

McDonald's ran a campaign in which it gave game cards to its customers. These game cards made it possible for customers to win hamburgers, French fries, soft drinks, and other fast-food items, as well as cash prizes. Each card had 10 covered spots that could be uncovered by rubbing them with a coin. Beneath three of these spots were "No Prize" signs. Beneath the other seven spots were names of prizes, two of which were identical.

For example, one card might have two pictures of a hamburger, one picture of a Coke, one of French fires, one of a milk shake, one of 5 Dollar, one of 1000 Dollar and three "No Prize" signs. For this card the customer could win a hamburger.

To win on any card, the customers had to uncover the two matching spots (which showed the potential prize for that card) before uncovering a "No Prize"; any card with a "No Prize" uncovered was automatically void. Assuming that the two matches and the three "No Prize" signs were arranged randomly on the cards, what is the probability of a customer winning?

A.

0.10

B.

0.15

C.

0.12

D.

0.18

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Difficult Probability Question - 12

Q12.

A bag contains 10 balls numbered from 0 to 9. the balls are such that the person picking a ball out of the bag is equally likely to pick anyone of them. A person picked a ball and replaced it in the bag after noting its number. He repeated this process 2 more times. What is the probability that the ball picked first is numbered higher than the ball picked second and the ball picked second is numbered higher than the ball picked third?

A.

72/100

B.

3/25

C.

4/5

D.

1/6

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Difficult Probability Question - 13

Q13.

There are three similar boxes, containing

(i). 6 black and 4 white balls
(ii). 3 black and 7 white balls
(iii). 5 black and 5 white balls, respectively.

If you choose one of the three boxes at random and from that particular box picks up a ball at random, and find that to be black, what is the probability that the ball picked up from the second box?

A.

14/30

B.

3/14

C.

7/30

D.

7/14

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Difficult Probability Question - 14

Q14.

Amit, Sumit and Pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. After breakfast, each of them boards a different tourist vehicle from the nearest bus-depot. After three hours, Sumit who had gone to a famous beach, calls on the mobile of Pramit and claims that he has observed a shark in the waters. Pramit learns from the local guide that at that time of the year, only eight sea-creatures (including a shark) are observable and the probability of observing any creature is equal. However, Amit and Pramit later recall during their discussion that Sumit has a reputation for not telling the truth five out of six times. What is the probability that Sumit actually observed a shark in the waters?

A.

1/36

B.

1/30

C.

5/36

D.

1/24

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Difficult Probability Question - 15

Q15.

(sum_{n=1}^{199}(n)) is written on cards. What is the probability of drawing a card with an even number written on it?

A.

1/2

B.

97/200

C.

99/199

D.

97/199

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