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

P(A or B) = 0.75

Explanation:

Venn probabilities:

Supposing that we have two events A and B, the probability P(A or B) is given by:

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

In this question, 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 = 0.62 + 0.13 = 0.75`

Then

P(A or B) = 0.75