Question

The probability of event A is 0.3 and the probability of its complement A' is 0.7. What is the probability of event A $\cap$ B if P(B)= 0.5 and A and B are independent?

Answer 1

0.15

Answer 2

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

$P(A \cap B) = P(A) * P(B)$

Given:

$P(A) = 0.3$

$P(B) = 0.5$

Events A and B are independent.

Substitute the given values into the formula:

$P(A \cap B) = 0.3 * 0.5$

$P(A \cap B) = 0.15$

The probability of event A $\cap$ B is 0.15.