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

The correct option is A $\frac{1}{2}$

when the coin is flipped fifth time, there is a chance of getting head or tail.

Therefore the chance of getting head$=$chance of getting tail

so probability of getting head on fifth toss is $1/2$.

it doesn't depend on first four outcomes.