A fish tank contains 14 goldfish 26 guppies. If you randomly select 2 fish what is the probility that they both are gold fish?

A. 1/20

B. 1/26

C. 91/780

D. 1/384

The probability of selecting 2 goldfish from a fish tank is 91/780.

The probability of getting a goldfish from a first try is 14/40 because the total number of goldfish is 14 over the total number of fishes in the fish tank which is 40.

The probability of getting a goldfish on the second try is 13/39 because there are only 13 goldfish left over 39 total number of fishes left in the tank.

Then,

P (selecting 2 goldfish) = (14/40) (13/39) = 182/1560 = 91/780