Q. A fair coin is tossed repeatedly. If the tail appears on first four tosses, then the probability of the head appearing on the fifth toss, equals
A) $\frac{1}{2}$
B) $\frac{1}{32}$
C) $\frac{31}{32}$
D) $\frac{1}{5}$
Explanation
(a)
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 $= \frac{1}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.