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Mathematics Question on Multiplication Theorem on Probability

If A and B are mutually exclusive events , given that P(A)=35,P(B)=15P(A) = \frac{3}{5} , P(B) = \frac{1}{5}, then P(A or B) is

A

0.8

B

0.6

C

0.4

D

0.2

Answer

0.8

Explanation

Solution

Given P(A)=35P(A) = \frac{3}{5} and P(B)=15P(B) =\frac{1}{5}
P(A or B) = P(A ∪\cup B) = P(A) + P(B) (because A and B are mutually exclusive)
=35+15=45=0.8= \frac{3}{5} + \frac{1}{5} = \frac{4}{5} = 0.8