SOLUTION: A student is selected at random from 100 students where 50 are taking history, 50 are taking politics and 11 are taking history and politics. Find the probability that a studen

Question 252587: A student is selected at random from 100 students where 50 are taking history, 50 are taking politics and 11 are taking history and politics.
Find the probability that a student is taking history or politics but not both.(answer to two places of decimals
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Check the Venn diagram below. (not drawn to scale)
The entire red circle is 50 as is the entire green circle 50.
The intersection of the circles is 11
The red circle left of the intersection is 50-11=39 as is the green circle right of the intersection=39
39+39+11=89 This is the union of the 2 circles which includes the intersection.
Out side this union but inside the rectangle is the final 11. They took neither history nor politics.
.78=probability that a student is taking history or politics but not both.
This is the answer correct for sure unless you copied the question wrong.
.
Ed
.

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