Question: 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

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 40%, while there is an 60% 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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