# Practice Questions on ProbabilityAptitude Questions and Answers

## Difficult Probability Question - 1

 Q1. Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. Unfortunately, the weatherman has predicted rain for tomorrow. When it actually rains, the weatherman correctly forecasts rain $90%$ of the time. When it doesn't rain, he incorrectly forecasts rain $10%$ of the time. What is the probability that it will rain on the day of Marie's wedding?
 A. 0.567 B. 0.111 C. 0.332 D. 0.732

## Difficult Probability Question - 2

 Q2. Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?
 A. 1/18 B. 64/4032 C. 63/64 D. 1/9

## Difficult Probability Question - 3

 Q3. In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?
 A. 4/7 B. 4/9 C. 5/7 D. 2/7

## Difficult Probability Question - 4

 Q4. Sum of digits of a 5 digit number is 41. Find the probability that such a number is divisible by 11?
 A. 2/15 B. 11/36 C. 3/35 D. 6/35

## Difficult Probability Question - 5

 Q5. Four unit squares are chosen at random on a chessboard. What is the probability that three of them are of one colour and fourth is of opposite colour?
 A. 80/427 B. 160/427 C. 320/1281 D. 640/1281
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