If a fair coin is tossed four times What is the probability that two heads and two tails will result...........

Mathematics (NDA) Probability

If a fair coin is tossed four times .What is the probability that two heads and two tails will result?

1/8

3/8

3/5

2/5

Solution:

The condition getting 2 heads and 2 taila is same as getting exactly 2 heads out of 4 tosses

Given p(H)=1/2

Applying the formula for the binomial distribution

P(x=2)= ⁴C₂(1/2)²(1 -1/2)^4-2

= ⁴C₂(1/4)(1/4)

=6 (1/16)

=6/16

=3/8

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