Events X and Y are independent. The probability of X occurring is 1 third The probability of Y occurring is 1 half What is cap p times open paren cap x And cap y close paren ?
Answer
A
1 third
B
2 thirds
C
1 sixth
D
5 sixths
Explanation
For independent events, the probability that both occur is the product of their probabilities: P(X and Y) = P(X) × P(Y) = 1/3 × 1/2 = 1/6. The correct choice is 1 sixth.
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