Respuesta :

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:

[tex]P(A\text{ and }B)=P(A)*P(B)\Rightarrow P(B)=\frac{P(A\text{ and }B)}{P(A)}.[/tex]

Replacing the data of the problem, we get:

[tex]P(B)=\frac{0.2}{0.4}=0.5.[/tex]Answer

P(B) = 0.5

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