Question

A fair coin is tossed repeatedly. If head and tail appear alternatively on first 7 tosses; then the probability that head appears on the eighth toss is

• A. $1/2$
• B. $1/128$
• C. $1/256$
• D. $7/256$

Answer 1

The correct option is A $1/2$

When a coin is tossed,
$P\left(H\right)=P\left(T\right)=\frac{1}{2}$
Here, the events are independent events.
So, eigth toss is independent of first seven tosses.
Probability of getting head in eight toss with a fair coin is simply $\frac{1}{2}$