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

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

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The correct Answer is:
`8/11`
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