15. A small school has 24 boys graduating. Half of them are funny and 7 are...

15. A small school has 24 boys graduating. Half of them are funny and 7 are good dancers. Eight of them are neither funny nor good dancers. One boy is selected at random. Translate the following into conditional probability notation, and then find the probabilities:

a) Probability he is a good dancer given that he is funny.

b) Probability he is funny given that he is a good dancer.

c) If he is a good dancer, what is the probability he is not funny? d) If he is not a good dancer, what is the probability he is funny?

Expert Solution

orchestra answered 2 years ago

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