GATE (TF) Textile 2010 Question Paper Solution | GATE/2010/TF/24

Question 24 (Textile Engineering & Fibre Science)

A fair coin is tossed 4 times. What is the probability of getting heads 3 times ?

(A)\frac{1}{2}
(B)\frac{1}{4}
(C)\frac{1}{6}
(D)\frac{1}{8}
[Show Answer]

The coin tossed 4 times.
Total number of favourable outcomes=(H,H,H,T),(H,T,H,H),(T,H,H,H),(H,H,T,H)=4

Total number of outcomes=2^4=16

Probability of getting 3 heads

The required probability=4/16
The required probability=1/4 (Ans)
Option B is correct.

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