I have 5 red plates and 4 blue plates. If I randomly select three plates to serve dinner on, what is the probability that they all have the same color?
R, R, R, R, R, B, B, B, B. Out of nine dishes, you can pick 3 dishes as follows:
{B, B, B} | {B, B, R} | {B, R, B} | {B, R, R} | {R, B, B} | {R, B, R} | {R, R, B} | {R, R, R} (total: 8)
Probability =2 / 8 = 1 / 4
