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)

Show Answer

Answer:

Correct Answer: 52.(a)

Solution:

Formula:

Definition of Probability :

  1. 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 $=1 / 2$



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