A survey of recent college graduates yielded the following information: 70 graduates earned adegree in mathematics, 115 earned a degree in education, 23 earned degree in bothmathematics and education, and 358 earned a degree in neither mathematics nor education. Draw a Venn diagram to illustrate the results of this survey. If one graduate is randomly selected from this group, find the probability that: (Venn DIagram) a) The selected graduate has earned a degree only in education. b) The selected graduate has earned a degree in education. c) The selected graduate has earned degrees in both mathematics and education.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A survey of recent college graduates yielded the following information: 70 graduates earned adegree in mathematics, 115 earned a degree in education, 23 earned degree in bothmathematics and education, and 358 earned a degree in neither mathematics nor education.
Draw a Venn diagram to illustrate the results of this survey.
If one graduate is randomly selected from this group, find the probability that: (Venn DIagram)

a) The selected graduate has earned a degree only in education.

b) The selected graduate has earned a degree in education.

c) The selected graduate has earned degrees in both mathematics and education.

d) The selected graduate has graduated with a degree in mathematics or education.

e) The selected graduate has a degree in exactly one subject.

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