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The word spelled HUMOR by a person from the United States is spelled HUMOUR by a person from Britain. At a party, two-thirds of the

The word spelled HUMOR by a person from the United States is spelled HUMOUR by a person from Britain. At a party, two-thirds of the guests are from the United States and one-third from Britain. A randomly chosen guest writes the word, and a letter is chosen at random from the word as written.

a. If this letter is a U, what is the probability that the guest is from Britain?
b. If the letter is an H, what is the probability that the guest is from Britain?

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