Respuesta :

Answer:

The value of P(B) for independent events = 0.429

Step-by-step explanation:

Given;

P(A) = 0.7

P(A ∩ B) = 0.3

A and B will be independent if  event A will occur and B will also occur, ie A and B will occur independently.

P(A) and P(B) =  P(A ∩ B)  

[tex]P(B) = \frac{ P(A\ n\ B) }{P(A)}\\\\ P(B) = \frac{0.3}{0.7}\\\\P(B) = 0.429[/tex]

Therefore, the value of P(B) for independent events = 0.429