Question

Events A and B are independent. Find the indicated Probability.P(A) = 0.4P(B) =P(A and B) = 0.2

Answer 1

Explanation

From the statement, we know that:

• P(A) = 0.4,

,

• P(A and B) = 0.2.

Because A and B are independent events, the probability of A and B is the product of the individual probabilities:

$P(A\text{ and }B)=P(A)*P(B)\Rightarrow P(B)=\frac{P(A\text{ and }B)}{P(A)}.$

Replacing the data of the problem, we get:

$P(B)=\frac{0.2}{0.4}=0.5.$Answer

P(B) = 0.5