Question

There are 6 green bottles sitting on a wall . The probability of a green bottle accidentally falling is 0.8What is the probability that fewer than 4 of the green bottles will accidentally fall?

Answer 1

This is a binomial distribution with n=6, p=0.8.

$P(X<4)=\sum_{i=0}^3C_6^i0.8^i(1-0.8)^{6-1}=0.0989.$