Question

An experiment consists of tossing three fair coins. What is the probability of tossing two tails

Answer 1

Given :  tossing three fair coins

To Find : probability of Getting two tails

Solution:

tossing three fair coins

P(T)  p = 1/2

P(H)  q = 1/2

Coins n = 3

x = 2  Getting two tails

 P(x) = ⁿCₓpˣqⁿ⁻ˣ

probability of Getting two tails  =   ³C₂(1/2)²(1/2)¹

= 3 (1/2)³

= 3/8

probability of Getting two tails   = 3/8

Another method

2  x 2 x 2 = 8 possible out comes

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

(HTT , THT , TTH)  are 3 favorable outcomes

probability of Getting two tails   = 3/8

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