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A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at

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A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once? A. 3 5 B. 2 5 C. 5 36 D. 1 36 Select the correct answer from above options

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Correct Answer - B Consider the following events : A=Number 4 appears at least once, B=The sum of the numbers appearing is 6. ∴ Required probaility =P(A/B) = Probability of occurrence of A when B is taken as the sample space Number of elementary events favourable to = A which are favourable to B Number of elementary events favourable to B = 2 5

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