nathematics, G8 studied aa studied both nathematics and hictoryi 25 studied both mathe matics and psychologyi 1 studied istory but neither mathematics nor psychology lo studied all three subjects, and ? d ot take of the three. Randomly select a student From the class and find the probabilities of the following events. paychology, 54 studied history, any a: A person enroled in psychology takes all three subjects. b. 1 nernn not takina 0ucholog u is takia bath histoni and matho matics ·

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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* In the serior year of a high school graduating class of loo students, 42 ctudied
mathematics, G8 studied psychology, 54 studied history, aa studied both
mathematics and history, 25 studied both mathe matics and psychology. 1 studied
history but neither mathematics nor psychology: l0 studied all three subjects , and 8 did
not take any of the three. Randomy select a student From the class and tind the
probabilities of the following events.
a: A person enroled in psychology takes all three subjects.
b. A person not taking paychology is taking both history and mathe matics.
Transcribed Image Text:* In the serior year of a high school graduating class of loo students, 42 ctudied mathematics, G8 studied psychology, 54 studied history, aa studied both mathematics and history, 25 studied both mathe matics and psychology. 1 studied history but neither mathematics nor psychology: l0 studied all three subjects , and 8 did not take any of the three. Randomy select a student From the class and tind the probabilities of the following events. a: A person enroled in psychology takes all three subjects. b. A person not taking paychology is taking both history and mathe matics.
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