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If the letters in the word POKER are rearranged, what is the probability that the word will begin with the letter E and end with the letter O?

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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Pat has asked a professor for a recommendation letter for graduate school. She estimates that the probability that the letter will be strong is 0.5 and that the probability that the letter will be weak is 0.2, and mediocre 0.3. Pat also estimates that if the letter is strong, the probability that she will enter grad school is 0.8; if it is weak, 0.1; and if it is mediocre, 0.4. Given that she did enter grad school, what is the probability that the recommendation letter was strong?

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