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Suppose a girl throws a die. If she gets...

Suppose a girl throws a die. If she gets 1 or 2 , she tosses a coin three times and notes the number of tails. If she gets 3,4,5 or 6, she tosses the coin once and notes whether 'head' or 'tail' is obtained. If she obtained exactly one 'tail', what is the probability that she threw 3,4,5,or 6 with the die

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