A cage holds 6 black cats and 9 white cats, if two cats escape what is the probability of both cats being white?

## A cage holds 6 black cats and 9 white cats, if two cats escape what is the probability of both cats being white?

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# 1 Answer

This involves two events, each with their own probability. Because both the first AND the second have to happen for this problem, you will MULTIPLY the wo individual probabilities.

Total cats = 15, White cats = 9

Probability first escaped cat is white = 9/15

One white cat has now escaped, so we now have Total cats = 14, White cats = 8

Probability second escaped cat is white = 8/14

Now MULTIPLY because this is an AND probability problem. (9/15)(8/14) = 72/210 = 12/35

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