Probability Ques 52
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)
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Answer:
Correct Answer: 52.(a)
Solution:
Formula:
- 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 $=1 / 2$