Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

counting and probability intermediate

Problem

An airline serves a dinner to all the passengers on an airplane. They get their choice of steak or fish. Three steak meals and three fish meals are set aside for the six-member crew. If the meals are distributed to the crew members randomly, what is the probability that both pilots get the fish?
Solution
There are ways to choose 2 of the 6 meals for the pilots. There are ways to choose 2 of the 3 fish meals. So the probability is .
Final answer
\frac{1}{5}