Question

Suppose that A and B are events defined on a common sample space, and the following probabilities are known. Find P(A or B). (Give your answer correct to two decimal places.) P(A) = 0.33, P(B) = 0.38, P(A | B) = 0.24

A) 0.47
B) 0.72
C) 0.65
D) 0.61

Answer 1

To find P(A or B), use the formula P(A or B) = P(A) + P(B) - P(A and B). Substitute the given values to find the answer.

Step-by-step explanation:

To find P(A or B), we can use the formula P(A or B) = P(A) + P(B) - P(A and B).

Given that P(A) = 0.33, P(B) = 0.38, and P(A | B) = 0.24, we can find P(A and B) using the formula P(A and B) = P(A | B) * P(B).

Substituting the given values, we get:

P(A and B) = 0.24 * 0.38 = 0.0912

Now we can find P(A or B) using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

Substituting the given values, we get:

P(A or B) = 0.33 + 0.38 - 0.0912 = 0.6188

Rounding this to two decimal places, the answer is 0.62.