SOLUTION: -in high school graduating class of 100 students, 54 studies mathematics.69studies history,35 studies both math and history . if one of these students is selected randomly.find the

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Question 478499: -in high school graduating class of 100 students, 54 studies mathematics.69studies history,35 studies both math and history . if one of these students is selected randomly.find the probability that
a.the students took math or history.
b.the students did'nt take either of these subjects.
c.the students took history but not math.
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Answer by Maths68(1474) About Me  (Show Source):
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P(Studies Maths)=P(M)=54/100=0.54
P(Studies History)=P(H)=69/100=0.69
P(Studies Maths and History)=P(M∩H)=35/100=0.35

a) the students took math or history.
P(M U H)=?
P(MUH)=P(M)+P(H)-P(M∩H)
P(MUH)=(0.54+0.69)-0.35
P(MUH)=(0.54+0.69)-0.35
P(MUH)=1.23-0.35
P(MUH)=0.88

b) the students did'nt take either of these subjects.
P(Not MUH)=1-P(MUH)=1-0.88=0.12

c) the students took history but not math.
The students took History but not Maths = Students took History – Students took both History and Maths
=69-35
=34
P(History not Maths)=34/100
P(History not Maths)=0.34