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.

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

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: