Question

Given that P(A AND B)=0.29 and P(A|B)=0.67, what is P(B)? Give your answer as a percent. Round to two decimal places.

Answer 1

To solve for P(B), we can use the formula P(B) = P(A AND B) / P(A|B). Given that P(A AND B) = 0.29 and P(A|B)=0.67, P(B) is 43.28%.

Step-by-step explanation:

To solve for P(B), we can use the formula P(B) = P(A AND B) / P(A|B). Given that P(A AND B) = 0.29 and P(A|B) = 0.67, we can substitute these values into the formula to find P(B).

P(B) = 0.29 / 0.67 = 0.4328.

As a percentage rounded to two decimal places, P(B) is 43.28%.