I saw this problem in a book review, but it doesn't give an answer(adsbygoogle = window.adsbygoogle || []).push({});

If there is a 75% chance I will go out and eat dinner at a restaurant on Friday night and there is 45% chance I will go see a movie on friday night

then what is the probability that I see a movie and eat dinner at a restaurant?

At first my stupid intuition told me to just add 75 and 45 and divide by 200

which would be 120/200 = .6 = 60% (.75+.45)/2

But then I realized that the combined chances had to be less than 45%.

So i just multiplied 45*0.75 = 33.75% or 75*.45 = 33.75%

33.75 seems correct to me although the logic is weird

is this the right answer and is there another way of finding the solution

also are there any good books you could recommend for learning statisticts and probability

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# Learning statisticts and probability

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