An experiment consists of flipping a coin and then flipping it a second time if head occurs. If a tail occurs on the first flip, then a six - faced die is tossed once. Assuming that the outcomes are equally likely, what is the probability of getting one head and one tail ?

Options

A. `1//4`
B. `1//36`
C. `1//6`
D. `1//8`

Answer

D

Explanation

Events when a coin is flipped and head occurs are {HT, HH}
Events when a coin is flipped and tail occurs are {T1, T2, T3, T4, T5, T6}
(`because` dice are rolled after tail appears)
So, Total number of events = 8
Favourable event = {HT} = 1
`therefore` Required probability `= 1/8`