Question

A school survey found that 9 out of 10 students like pizza. If three students are chosen at random with replacement, what is the probability that all the three students like pizza?

Answer 1

Binomial distribution

$P=\frac{9}{10}=0.9$

$n=3$

$P(x)=\binom{n}{x}p^x(1-p)^{n-x}, x=0,1,2,3$

$P(3)=\binom{3}{3}0.9^3=0.729$