If the probability for \(A\) to fail in an examination is \(0.2\) and that of \(B\) to fail is \(0.30\), then the probability that either \(A\) or \(B\) fails is
Answer & explanation
Correct answer: option 3
\(P(A \cup B=P(A)+P(B)-P(A \cap B)\)
$P(A \cap B) = P(A).P(B) = 0.06 $
\( \Rightarrow P(A \cup B=P(A)+P(B)-P(A \cap B) = 0.2 + 0.3 -0.06 = 0.44\)