Probability 3 Question 14
14. 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) $\frac{1}{5}$
(1998, 2M)
Show Answer
Solution:
- 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 $=1 / 2$
