SOLUTION: five years after 650 high school seniors graduated 400 had a college degree and 310 were married. half of the students with a college degree were married. A. what is the probabili

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Question 302374: five years after 650 high school seniors graduated 400 had a college degree and 310 were married. half of the students with a college degree were married.
A. what is the probability that a student has a college degree or is married.
B. what is the probability that a student has a college degree or is not married.
C. what is the probability that a student does not have a college degree or is married.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
five years after 650 high school seniors graduated 400 had a college degree and 310 were married. half of the students with a college degree were married.
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Draw a Venn Diagram.
Draw two intersecting circles inside a rectangle.
Label one circle as C(college), the other as M(married).
Put 200 in the intersection.
Put 200 in "C" but outside the intersection.
Put 110 in "M" but outside the intersection
Put 140 in the rectangle but outside both of the circles.
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A. what is the probability that a student has a college degree or is married.
P(C or M) = (400 + 310-200)/650 = 510/650
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B. what is the probability that a student has a college degree or is not married.
P(C or M') = (400 + 340 - 200)/650 = 540/650
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C. what is the probability that a student does not have a college degree or is married.
P(C' or M) = (250 + 310 - 110)/650 = 450/650
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Cheers,
Stan H.
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