Question

A and B are independent events. P(A) = 0.30. P(B) = 0.60 What is P(A/B)?

Answer 1

For independent events A and B, the conditional probability P(A|B) is simply equal to P(A); hence, P(A|B) = P(A) = 0.30.

Step-by-step explanation:

• The student asked what is P(A|B), the probability of event A occurring given that event B has already occurred, considering that A and B are independent events with P(A) = 0.30 and P(B) = 0.60.
• Since A and B are independent, the occurrence of B does not affect the probability of A happening.
• Therefore, P(A|B) is equal to P(A).
• The formula for conditional probability, P(A|B) = P(A AND B) / P(B), becomes redundant for independent events because P(A AND B) can be expressed as P(A) * P(B).