A pizzeria offers 8 different ingredients on its pizza. Andy chooses 3 different ingredients from the 8 by drawing the names from a hat. What is the probability that Andy chooses either mushrooms or pepperoni or both among his three ingredients?

The answer is 9/14, but how do you get it?

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  1. You can do it this way:

    Pr(either m or P or both)=1-Pr(neither M or P)

    Pr(neither)=6/8*5/7*4/6= 120/336=40/112=20/56=10/28= 5/14

    Pr(either m or P or both)=1-5/14=9/14

  2. Thank you! I always forget you can minus the complement from 1.

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