Question

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

• A. $\frac{1}{2}$
• B. $\frac{1}{32}$
• C. $\frac{31}{32}$
• D. $\frac{1}{5}$

Answer 1

Answer: (A)

$\frac{1}{2}$

Answer 2

The event that the fifth toss results in a head is independent of the event that the first four tosses result in tails.
$\therefore \, \,$ Probability of the required event = 1/2