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Question

For two independent events A and B, what is P(A+B), given P(A)=35 and P(B)=23?

A
1115
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B
1315
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C
715
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D
0.65
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Solution

The correct option is B 1315
Given: P(A)=35,P(B)=23, A and B are independent.
To find: P(A+B)=?
Sol: As A and B are independent, P(AB)=P(A)P(B)
Now, P(A+B)=P(AB)=P(A)+P(B)P(AB)
P(A+B)=P(A)+P(B)P(A)P(B)P(A+B)=35+2335×23=10+9615=1315

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