# Practice Questions on ProbabilityAptitude Questions and Answers

## Difficult Probability Question - 6

 Q6. Shiwani thought of a two-digit number and divided the number by the sum of the digits of the number. He found that the remainder is 3. Devesh also thought of a two-digit number and divided the number by the sum of the digits of the number. He also found that the remainder is 3. Find the probability that the two digit number thought by Shiwani and Devesh is TRUE?
 A. 1/15 B. 1/14 C. 1/13 D. 1/12

## Difficult Probability Question - 7

 Q7. An eight-digit telephone number consists of exactly two zeroes. One of the digits is repeated thrice. Remaining three digits are all distinct. If the first three digits (from left to right) are 987, then find the probability of having only one 9, one 8 and one 7 in the telephone number.
 A. 1/18 B. 1/20 C. 1/10 D. 5/47

## Difficult Probability Question - 8

 Q8. The game 'Chunk-a-Luck' is played at carnivals in some parts of Europe. Its rules are as follows: If you pick a number from 1 to 6 and the operator rolls three dice. If the number you picked comes up on all three dice, the operator pays you Rs. 3 ;  If it comes up on two dice, you are paid Rs. 2;  And it comes up on just one dice, you are paid Rs. 1. Only if the number you picked does not come up at all, you pay the operator Rs. 1. The probability that you will win money playing in this game is:
 A. 0.52 B. 0.753 C. 0.42 D. None of the above

## Difficult Probability Question - 9

 Q9. Sun Life Insurance company issues standard, preferred and ultra-preferred policies. Among the company's policy holders of a certain age, $50%$ are standard with the probability of 0.01 dying in the next year, $30%$ are preferred with a probability of 0.008 of dying in the next year and $20%$ are ultra-preferred with a probability of 0.007 of dying in the next year. If a policy holder of that age dies in the next year, what is the probability of the decreased being a preferred policy holder?
 A. 0.1591 B. 0.2727 C. 0.375 D. None of these

## Difficult Probability Question - 10

 Q10. Two urns contain 5 white and 7 black balls and 3 white and 9 black balls respectively. One ball is transferred to the second urn and then one ball is drawn from the second urn. Find the probability that the first ball transferred is black, given that the ball drawn is black?
 A. 13/23 B. 11/23 C. 14/23 D. 7/23
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