Question

The probability of event A occurring is 0.65. The probability of events A and B occurring together is 0.33. Events A and B are independent. What is the probability of event B?

a) 0.32
b) 0.33
c) 0.65
d) 0.98

Answer 1

To find the probability of event B, we divide the probability of events A and B occurring together by the probability of event A. In this case, the probability of event B is approximately 0.51.

Step-by-step explanation:

To find the probability of event B, we can use the formula:
P(B) = P(A and B) / P(A)

Given that events A and B are independent, the probability of A occurring is 0.65. The probability of events A and B occurring together is 0.33. Plugging these values into the formula:
P(B) = 0.33 / 0.65 = 0.5077 or approximately 0.51.

Therefore, the probability of event B is approximately 0.51.