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Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times

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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, what is the probability that she threw 1, 2, 3 or 4 with the die? Select the correct answer from above options

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E1 : 5 or 6 shows on the die HHH E2 : 1, 2, 3,4 shows on the die HHT A : Shows Head exactly once HTH

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