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Mathematics Question on Axiomatic Approach to Probability

Given P(A)=35P(A)= \frac{3}{5} and P(B)=15P(B)=\frac{1}{5}. Find P(A or B), if A and B are mutually exclusive events.

Answer

Here, P(A)=35,P(B)=15P(A) =\frac{3}{5} , P(B) =\frac{1}{5}
For mutually exclusive events A and B, P(AorB)=P(A)+P(B)P(A or B) = P(A) + P(B)
∴P(AorB)=35+15=45∴ P(A or B)=\frac{3}{5}+\frac{1}{5}=\frac{4}{5}