# Probability

60% of population has brown eyes. 8 persons are selected randomly from population.

Calculate the probability that exactly 5 of them have brown eyes.

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## Amit Sharma

p = P (Brown eye) = 0.6

q = 1 – p = 1 – 0.6 = 0.4

Probability of selecting exactly 5 person having brown eyes =

C(8, 5) p^5 q^3 = (8!)/[5! x 3!] . (0.6)^5 x (0.4)^3