The venn diagram shows event a and event b comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B? A. 0.2

B. 0.4

C. 0.5

D. 0.6

E. 0.8

Correct option: D. 0.6

Step-by-step explanation:

The Venn diagram shows that there is no intersection between events A and B, so we have that:

P(A and B) = 0

Therefore the probability of A or B is:

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

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

So, If the sum of the probabilities needs to be 1, we have that:

Total = P(A or B) + P(neither)

Total = P(A) + P(B) + P(neither)

1 = 0.2 + P(B) + 0.2

P(B) = 1 - 0.2 - 0.2 = 0.6

So the correct option is D.