A roulette wheel with 38 slots The first 36 slots are number

A roulette wheel with 38 slots. The first 36 slots are numbered from 1-36. half are red and half are black. The remaining 2 slots are 0 and 00 and are green. If the roulette was spun 190 times, predict how many times the ball will land on 14 or 3.

Solution

The colors here are irrevelant. We may model this as a binomial with n = 190 and p = 2/38 because there are 2 ways to land on 14 or 3. For a binomial distribution, the mean number of successes is np = 190 (2/38) = 10 times. Therefore, on average, 10 times.