Question

Using this venn diagram, what is the probability that event a or event b occurs?

-0.42
-0.78
-0.22
-0.60

Answer 1

The probability that event A or event B occurs is 0.42.

Step-by-step explanation:

The Venn diagram provided represents the sample space and events A and B. In order to find the probability of event A or event B occurring, we need to find the sum of their individual probabilities and subtract the probability of both events occurring simultaneously. Let's denote P(A) as the probability of event A, P(B) as the probability of event B, and P(A and B) as the probability of both A and B occurring. The probability of event A or event B occurring, denoted as P(A or B), can be calculated using the formula:

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

Substituting the given values into the formula, we can calculate the probability:

P(A or B) = 0.2 + 0.3 - 0.08 = 0.42

Therefore, the probability that event A or event B occurs is 0.42.