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Suppose a girl throws a dice. If she get...

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

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`8/11`
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