A) \[\frac{19}{50}\]
B) \[\frac{11}{25}\]
C) \[\frac{1}{2}\]
D) None of these
Correct Answer: A
Solution :
Probability of A to fail \[P(A)=\frac{1}{5}\] \[\Rightarrow \]Probability of A not to fail \[P(\bar{A})=\frac{4}{5}\] and probability of B to fail \[P(B)=\frac{3}{10}\] \[\Rightarrow \]Probability of B not to fail \[P(B)=\frac{7}{10}\] Required probability \[=P(\bar{A})P(B)+P(A)P(\bar{B})\] \[=\frac{4}{3}.\frac{3}{10}+\frac{1}{5}.\frac{7}{10}\] \[=\frac{12+7}{50}=\frac{19}{50}\]
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