If the probability for A to fail in an exam i | vedclass

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(C) Let $P(A)$ be the probability that $A$ fails in an exam and $P(B)$ be the probability that $B$ fails in an exam. We are given $P(A) = 0.2$ and $P(

Vedclass · Accepted Answer

$0.5$

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(C) Let $P(A)$ be the probability that $A$ fails in an exam and $P(B)$ be the probability that $B$ fails in an exam. We are given $P(A) = 0.2$ and $P(B) = 0.3$. The probability that either $A$ or $B$ fails is given by the union of the two events,$P(A \cup B)$. By the addition theorem of probability,we have: $P(A \cup B) = P(A) + P(B) - P(A \cap B)$. Since $P(A \cap B) \geq 0$,it follows that $P(A \cup B) \leq P(A) + P(B)$. Substituting the given values: $P(A \cup B) \leq 0.2 + 0.3$. $P(A \cup B) \leq 0.5$. Therefore,the probability that either $A$ or $B$ fails is $\leq 0.5$. Hence,option $(C)$ is correct.

If the probability for $A$ to fail in an exam is $0.2$ and that for $B$ is $0.3$,then the probability that either $A$ or $B$ fails is $\leq \ldots \ldots$.

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