Posted by **Carrie** on Monday, July 15, 2013 at 8:10am.

A batch consists of 20 bad apples and 80 good ones. What is the probability of selecting 2 good apples when two are randomly selected if the first selection is replaced before the second is made?

- Statistics -
**MathMate**, Monday, July 15, 2013 at 9:01am
With replacement, the probability of selecting a good apple stays at 60/80=3/4.

For a two-step experiment, the probability is the product of individual steps, hence, probability of select a good apple in each pick is

(3/4)^2=9/16

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