In the senior year of a high school graduating class of 78 students, 30 studied mathematics, 60 studied psychology, 44 studied history, 18 studied both mathematics and history, 21 studied both mathematics and psychology, 5 studied history but neither mathematics nor psychology, 10 studied all three subjects, and 4 did not take any of the three. Find the probability that a randomly selected studeni from the class has studied mathematics and psychology but not history. [The answer should be a number rounded to five decimal places, don't Use symbols such as %]

MATLAB: An Introduction with Applications
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In the senior year of a high school graduating class of 78 students, 30 studied mathematics, 60 studied
psychology, 44 studied history, 18 studied both mathematics and history, 21 studied both mathematics and
psychology, 5 studied history but neither mathematics nor psychology, 10 studied all three subjects, and 4
did not take any of the three.
Find the probability that a randomly selected studeni from the class has studied mathematics and
psychology but not history.
[The answer should be a number rounded to five decimal places, don't
Use symbols such as %)
Transcribed Image Text:In the senior year of a high school graduating class of 78 students, 30 studied mathematics, 60 studied psychology, 44 studied history, 18 studied both mathematics and history, 21 studied both mathematics and psychology, 5 studied history but neither mathematics nor psychology, 10 studied all three subjects, and 4 did not take any of the three. Find the probability that a randomly selected studeni from the class has studied mathematics and psychology but not history. [The answer should be a number rounded to five decimal places, don't Use symbols such as %)
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