Given that events A and B are independent with P (A) = 0.75 and

P (AnB) = 0.165, determine the value of P (B), rounding to the nearest

thousandth, if necessary.

Answer:The value of P (B) = 0.22

Step-by-step explanation:

The probability of event A, P (A) = 0.75

The probability of events A and B, P (A ∩ B) = 0.165

The probability of event B, P (B) = ?

Independent events are those where the probability of A event occurring doesn't affect the probability of B event. In other words, they don't depend upon each other and are independent.

By formula,

P (A ∩ B) = P (A). P (B)

By substituting the values to the above equation, we get

0.165 = 0.75 * P (B)

P (B) = 0.22