The total number of fish available in the tank is (18 + 22) = 40. We want to randomly select 2 fish and come up with 2 goldfish. The probability for 1 goldfish to be taken out would be 18/40.
Now, after drawing the first fish, the probability to get another goldfish would be 17/39. And the probability to draw 2 goldfish would be the product of both probabilities.
P = (18/40)(17/39) = 51/260
Thus, the answer is B.
