CUET · MATHS · PYQ PAPER 2023
A die is thrown. If \(A\) is the event 'the number appearing is a multiple of 3 ' and \(B\) is the event 'the number appearing is even', then A and B are :
- A dependent events
- B independent events
- C \(P(A \cap B)=\frac{1}{3}\)
- D \(P(B)=\frac{1}{3}\)
Answer & Solution
Correct Answer
(B) independent events
Step-by-step Solution
Detailed explanation
\(P(A) = \frac{2}{6} = \frac{1}{3}\) \(P(B) = \frac{3}{6} = \frac{1}{2}\) \(A \cap B = \{6\}\) \(P(A \cap B) = \frac{1}{6}\) \(P(A)P(B) = \frac{1}{3} \times \frac{1}{2} = \frac{1}{6}\) \(P(A \cap B) = P(A)P(B)\) independent events
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