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A and B are thinking of going to a movie tonight. B said the probability that...

A and B are thinking of going to a movie tonight. B said the probability that she will go is 3/4 and she will tell A later today whether or not she is going. A has decided that if B is going to movie, he will go, but if B is not going, then A is 2 times as likely to not go as he is go. if it turns out A does go to the movie, what is the probability that B decided not to go?

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