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An unbiased coin is tossed. If the outco...

An unbiased coin is tossed. If the outcome is a head, then a pair of unbiased dice is rolled and the sum of the number obtained on them is noted. If the toss of the coin results in tail, then a card from a well-shuffled pack of nine cards numbered 1, 2, 3, ...., 9 is randomly picked and the number on the card is noted. The probability that the noted number is either 7 or 8 is

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An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on two faces is noted. If the result is a tail, a card from a well-shuffled pack of 11 cards numbered 2, 3, 4, ..., 12 is picked and the number on the card is noted. What is the probability that the noted number is either 7 or 8?

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