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?

There are 6 possible side dishes, and the program selects 3, so there are 20 equally likely groups of dishes (6 choose 3). If applesauce and broccoli are both selected, the third dish can be any of the other 4 dishes. Thus the probability is 4/20 = 1/5 = 20%, which is choice B.

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