A die is rolled a certain number of times. If the probability of getting an odd number 2 times is same as the probability of getting an even number 3 times. The probability of getting an odd number an odd number of times is

A die is rolled a certain number of times. If the probability of getting an odd number 2 times is same as the probability of getting an even number 3 times. The probability of getting an odd number an odd number of times is

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Solution:

Let the die be rolled n times. It is given that

Let the required probability be p. Then,

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