Question

A fish tank contains eight algae-eaters, five catfish, and six tilapia fish. A storekeeper randomly selects two fish (one after another without replacement) from the tank for a customer. Find the probability that both fish selected are catfish.

Answer 1

P = 10/171

P = 0.058

The probability that both fish selected are Catfish is 0.0058

Explanation:

Given:

The tank contains;

Algae eaters = 8

Catfish = 5

Tilapia fish = 6

Total number of fish = 8+5+6= 19

To determine the probability that both fish selected are Catfish P;

P = 5/19 × 4/18

( The number of the total number of fishes, and Catfish reduce by one after each selection because it is selected without replacement)

P = 10/171

P = 0.058