STA301 GDB sollution SPRING 2016

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Question: A man opens a general store and a book shop. In any one year the probability of a robbery in the general store is 0.10 and the probability of a robbery in the book shop is 0.02. For any one year. What is the probability that:

1-Neither business will be robbed.
2-Either one or the other (but not both) will be robbed.

Sta301 GDB Solution: 

Probability of a robbery in the general store = 0.10 probability of a robbery in the book shop = 0.02 P(A)=n(A)/n(S) i. Neither business will be robbed. Its mean dono main se koi bh nh So P(A)=(not A)*(Not B)=(1-010)*(1-0.02) P(A)=0.9*0.98=0.882 ii. Either one or the other (but not both) will be robbed. P (B) = 0.10 + 0.02 - (0.10)(0.02) P (B) = 0.12-0.002=0.118