Question

LABEL YOUR ANSWERS PART A and PART B

A school cafeteria makes 4 different salads during the week but serves only 2 each day on a rotating basis. The 4 salads are listed below.

• Chicken (C)
• Fruit (F)
• Pasta (P)
• Tuna (T)

Part A: Use the letters C, F, P, and T to list all outcomes of 2 salads.

Part B: A student randomly chooses a day to buy a cafeteria salad without knowing which 2 salads are being served. What is the probability the student chooses a day the cafeteria is serving chicken salad, pasta salad, or both? Show your work or explain your thinking.

(sorry if this is confusing, but I really needed the answer!)

Answer 1

A) CF CP CT FP FT PT

B) 5/6 or ~83.3%

Explanation:

A) Each letter combination lists the outcomes of 2 salads. Order doesn't matter so CF and FC are the same thing and do not need to be listed twice.

B) Using Part A we know that there are 6 outcomes of 2 salads. 5 out of those 6 outcomes serve chicken, pasta or both. Only the day that serves both Fruit and Tuna is there an outcome that doesn't have Chicken and/or Pasta.