Question

If A and B are independent events, P(A) = 0.14, and P(B) = 0.62, what is P(B|A)?

A. 0.14
B. 0.62
C. 0.76
D. 0.88

Answer 1

The probability of event B given that event A has already occurred can be calculated using the formula P(B|A) = P(A∩B) / P(A). Since events A and B are independent, P(B|A) = P(B) = 0.62.

Step-by-step explanation:

The probability of an event B occurring given that event A has already occurred, denoted as P(B|A), can be calculated using the formula: P(B|A) = P(A∩B) / P(A).

Since events A and B are independent, P(A∩B) = P(A) * P(B). Given that P(A) = 0.14 and P(B) = 0.62, we can calculate P(B|A) as follows:

P(B|A) = P(A∩B) / P(A) = (P(A) * P(B)) / P(A) = P(B) = 0.62

Therefore, the correct answer is B. 0.62