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box contains 3 white, 2 red, and 4 black marbles. One marble is chosen at random,...

box contains 3 white, 2 red, and 4 black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.)

You will take either a basket-weaving course or a philosophy course, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is 0.80, while in philosophy it is 0.60. However, the chances of your advisor choosing the basket-weaving course is only 10%, while there is an 90% chance that he will put you in the philosophy course. What is the probability that you end up with an A? (Enter your answer to three decimal places.)

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