What is the probability that the selected fish will not have a red fin or a green tail?

Question

When a fish is selected at random fram a tank, the probability that it has a green tail is 0.48the probability that it has red fins is 0.28and the probability that it has both a green tail and red fins is 0.22. What is the probability that the selected fish will not have a red fin or a green tail?

Answer 1

G=fish has green tail

R=fish has red fin

G^R = fish has both a red fin and a green tail

P(G)=.48

P(R) = .28

P(G^R) = .22

P(GvR) = P(G) + P(R) - P(G^R) = .48 + .28 - .22 = .76 - .22 = .54

P(neither G nor R) = 1-.54 = .46 = 46%