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This EduRev document offers 10 Multiple Choice Questions (MCQs) from the topic Probability (Level  3). These questions are of Level  3 difficulty and will assist you in the preparation of CAT & other MBA exams. You can practice/attempt these CAT Multiple Choice Questions (MCQs) and check the explanations for a better understanding of the topic.
Three friends A, B and C do air rifle shooting as a hobby and compete against each other in friendly competitions. On a Sunday morning, they go to an empty tract of land along with their air rifles to shoot at clay practice targets from the distances of 100 m and 200 m. A hits his target 95% of the times from a distance of 100 m and 70% times from a distance of 200 m. The same figures for B are 85% and 80%, respectively. The same figures for C are 90% and 75%, respectively. They put in numbered chits (1, 2 and 3) to be drawn to decide the order of shooting and then each of them shoots at the targets turnwise according to the chit number, first from 100 m and then from 200 m. They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.
Q. What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?
Two friends A and B play a game of chance. A person tosses a coin and if the coin shows a heads, he rolls a die. He does this twice and the score is the total of the numbers that the die throws up in both the rolls, if at all. If a person ends up with a tails on tossing the coin, he does not roll the die and his score is entered as 0. The winner of the game is the person whose score is the maximum.
Q. What is the probability that B will win with the maximum possible score and A scores 0?
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