Question

Two events, A and B, are independent of each other. P(A)= and P(A and B)=. What is P(B) written as a decimal? Round to the nearest hundredth, if necessary. 0.02 0.04 0.29 0.75

Answer 1

Answer: The probability of event B, P(B), is 2.00.

Explanation:

1. The formula for the probability of two independent events A and B occurring together is P(A and B) = P(A) * P(B).

2. We know that P(A) = 0.02 and P(A and B) = 0.04.

3. Substituting these values into the formula, we get 0.04 = 0.02 * P(B).

4. Solving for P(B), we divide both sides of the equation by 0.02.

5. This gives us P(B) = 0.04 / 0.02 = 2.00.

Please note that probabilities typically range from 0 to 1, so a probability of 2.00 seems unusual. It might be worth double-checking the provided probabilities for events A and B.