Question

Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =

Answer 1

Answer:

P(A or B) = 0.75

Step-by-step explanation:

For Venn probabilities, we have that:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

In which $P(A \cup B)$ is P(A or B).

We have that:

$P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12$

So

$P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.75$

P(A or B) = 0.75