Probability 2 Question 12
12. If the probability for $A$ to fail in an examination is 0.2 and that of $B$ is 0.3 , then the probability that either $A$ or $B$ fails is 0.5 .
$(1989,1 M)$
Analytical and Descriptive Questions
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Answer:
Correct Answer: 12. $P(A \cap B)$
Solution:
- Given, $P$ ( $A$ fails in examination $)=0.2$
and $\quad P(B$ fails in examination $)=0.3$
$$ \begin{aligned} \quad P(A \cap B) & =P(A) P(B)=(0.2)(0.3) \\ P(A \cup B) & =P(A)+P(B)-P(A \cap B) \\ & =0.2+0.3-0.06=0.44 \end{aligned} $$
Hence, it is a false statement.
