A) 28%
B) 38%
C) 72%
D) 82%
Correct Answer: A
Solution :
Let \[P(A)=\frac{20}{100}=\frac{1}{5},\] \[P(B)=\frac{10}{100}=\frac{1}{10}\] Since events are independent and we have to find \[P(A\cup B)=P(A)+P(B)-P(A)\,.\,P(B)\] \[=\frac{1}{5}+\frac{1}{10}-\frac{1}{5}\times \frac{1}{10}=\frac{3}{10}-\frac{1}{50}=\frac{14}{50}=\frac{14}{50}\times 100=28%.\]
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