In: Statistics and Probability
Lucas rolls a die 15 times. What is the probability that he gets 3 seven times?
P(getting 3 in one die) = 1/6
n = 15
This is a binomial distribution.
P(X = x) = 15Cx * (1/6)x * (1 - 1/6)15-x
P(X = 7) = 15C7 * (1/6)7 * (5/6)8 = 0.0053 (ans)