An animal cage is holding 8 black cats and 11 white cats. All of them want to get out of the cage. The cage door is opened slightly and two cats escape. What is the probability that both cats are black?

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Answer:

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

Step-by-step explanation:

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

Answer:

12/35

Step-by-step explanation: