+0

# help

0
143
1

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.

Jan 22, 2020

#1
+119
+2

The probability of the first fish being a catfish is 5 catfish out of 19 total fish $$\Rightarrow \frac{5}{19}$$

The probability of the second fish being a catfish is 4 catfish out of 18 total fish $$\Rightarrow \frac{4}{18} \Rightarrow \frac{2}{9}$$

The total probability is $$\frac{5}{19} \cdot \frac{2}{9} = \frac{10}{171}$$

Jan 22, 2020