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 =