SOLUTION: Question1.In a college class of 100 students,54 studied mathmatics,69 studied history,and 35 studied both mathmatics and history.if one of these students is selected at random,find

Question 375313: Question1.In a college class of 100 students,54 studied mathmatics,69 studied history,and 35 studied both mathmatics and history.if one of these students is selected at random,find the probability that.
a.the student takes mathmatics or history
b.the student does not take either of these subjects
c.the student takes history but not mathmatics
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Make a Venn Diagram so you understand this!
M=math, H=history, M'=non math, U=union, n=intersection
.
a) M U H = (19+35+34)/100 = 88/100 = 22/25
.
b) M' n H' = (100-88)/100 = 12/100 = 3/25
.
c) H n M' = 34/100 = 17/50
.
Ed
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