Probability

Question

If P(A) = 0.6 and P(B) = 0.3, and A and B are independent events, then P(A ∩ B) is

RankGuru · Accepted Answer

1. **Condition for Independence**: Two events $A$ and $B$ are independent if the occurrence of one does not affect the probability of the other.
2. **Multiplication Rule**: For independent events, $P(A \cap B) = P(A) 	imes P(B)$.
3. **Substitution**:
   - $P(A \cap B) = (0.6) 	imes (0.3) = 0.18$.
4. **Result**: 0.18.

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