Question

A six sided die is rolled 12 times. What is the probability of getting a 4 five times

Answer 1

The rolling of the die follows a binomial distribution i.e Bin(12, $1 \over 6$)

n=12

p=$1\over 6$

P(X=x) = _nC_x${p}^x{(1-p)}^{n-x}$

P(X=5) = ₁₂C₅$({1 \over 6})^5{(1-{1 \over 6} )}^{12-5}$

$=$ 0.028424982

Answer : 0.02842498