# Q. 10    Suppose a girl throws a die. If she gets a or  , she tosses a coin three times and notes the number of heads. If she gets or , 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  or with the die?

Let, A: Outcome on die is 5 or 6.

B: Outcome on die is 1,2,3,4

X: Event of getting exactly one head.

Probability of  getting exactly one head when she tosses a coin three times :

Probability of  getting exactly one head when she tosses a coin one time :

Hence, the probability that she threw  or with the die =

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