Question

For two independent events A and B, if P(A) = 0.6 and P(B) = 0.5, what is P(A ∩ B)?

Answer 1

0.3

Answer 2

To find the probability of the intersection of two independent events A and B, we use the formula:

Formula: For independent events A and B, the probability of their intersection is: $P(A \cap B) = P(A) \times P(B)$

Given:

• $P(A) = 0.6$
• $P(B) = 0.5$
• Events A and B are independent.

Calculation: Substitute the given values into the formula: $P(A \cap B) = 0.6 \times 0.5$ $P(A \cap B) = 0.30$

The probability of A intersection B is 0.3.