Question

Consider two events and , where P(|)=0.4 , P()=0.2 , and P()=0.32 .
What is P(|) ?

Answer 1

The conditional probability P(B|A) is calculated using the formula P(B|A) = P(A AND B) / P(A). After substituting the given values, it's found that P(B|A) = 0.8.

Step-by-step explanation:

To calculate P(B|A), we use the formula P(B|A) = P(A AND B) / P(A). Given that P(A) = 0.4, P(B) = 0.2, and P(A AND B) = 0.32, we substitute these values into the formula.

Step 1: Identify the given probabilities.

• P(A) = 0.4
• P(B) = 0.2
• P(A AND B) = 0.32

Step 2: Substitute into the formula.

• P(B|A) = P(A AND B) / P(A)
• P(B|A) = 0.32 / 0.4

Step 3: Calculate the conditional probability.

• P(B|A) = 0.8