Question

A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.

What is the theoretical probability that applesauce and broccoli will both be offered on Monday?

Answer 1

we have 6C3 total possibilities (6 items total, 3 chosen)

applesauce and broccoli are a given so for the third item we have to choose between the last 4 items offered, so we have 4 possibilities

so 4 / (6C3)