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MHT CET 2023 Mathematics question

MathematicsProbabilityMHT CET 2023

An irregular six faced die is thrown and the probability that, in 5 throws it will give 3 even numbers is twice the probability that it will given 2 even numbers. The number of times, in 6804 sets of 5 throws, you expect to give no even number is

Answer: (B)

Solution

Let be the probability of an even number on one throw and ; the number of even numbers in 5 throws is binomial. Given : . With we get , . The probability of no even number in 5 throws is

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Question ID VK-097317