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A die is thrown twice and sum of the numbers appearing is observed to be 9.

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A die is thrown twice and sum of the numbers appearing is observed to be 9. What is the conditional probability that the number 4 has appeared at least once. Select the correct answer from above options

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Let A:Sum is 9 A = {(3, 6) (6, 3) (5, 4) (4, 5)} ⇒ n(A) = 4 B = (1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4) (6, 4) (4, 1) (4, 2) (4, 3) (4, 5) (4, 6) A ∩ B = {(5, 4)(4, 5)} ⇒ n(A ∩ B) = 2

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