Question 478499
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