Suppose an unfair (weighted) die takes values 1,2,3,4,5, 6 with respective probabilities p1,p2,p3,p4,p5,p6. The die is rolled

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Question:

Suppose an unfair (weighted) die takes values 1,2,3,4,5, 6 with respective probabilities p1,p2,p3,p4,p5,p6. The die is rolled once. If the die result is i, a fair coin is thrown I times. Find the probability that a die result is an odd number, given that at least one coin toss is head