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Tom has applied to both Harvard and MIT. He thinks the probability that Harvard

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Tom has applied to both Harvard and MIT. He thinks the probability that Harvard will admit him is 0.8, the probability that MIT will admit him is 0.6, and the probability that both will admit him is 0.5.

a) What is the probability that at least one of the two universities will admit him?

b) What is the probability that he will get into Harvard but not MIT?

c) What is the probability that he will get into MIT but not Harvard?

d) What is the probability that neither university will admit him? Hint: Draw a Venn diagram.

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[Solved] Tom has applied to both Harvard and MIT. He thinks the probability that Harvard

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