Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

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

Options:

\(0.50\)

\(0.54\)

\(0.44\)

\(0.45\)

Correct Answer:

\(0.44\)

Explanation:

\(P(A \cup B=P(A)+P(B)-P(A \cap B)\)

$P(A \cap B) = P(A).P(B) = 0.06 $

\( \Rightarrow P(A \cup B=P(A)+P(B)-P(A \cap B) = 0.2 + 0.3  -0.06 = 0.44\)