A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing on fifth toss equals

Options

A. `(1)/(2)`
B. `(1)/(32)`
C. `(31)/(32)`
D. `(1)/(5)`

Answer

A

Explanation

That event that the fifth toss results in a head is independent of the event that the first four tosses result in tails.
`:.` Probability of the required event `=1//2`