Question

Hello can you please help me posted picture of question

Answer 1

You will choose one fish first, will not replace it, and will choose a second fish.
There are 18 + 22 = 40 fish in the tank.
There are 18 goldfish at first.
The probability the first fish taken out is a gold fish is
p(first fish is goldfish) = 18/40 = 9/20

Now you will take the second fish. After taking the first goldfish, there are 39 fish left. There are 17 goldfish left.
The probability the second fish is a goldfish is
p(second fish is goldfish) = 17/39


To find the probability of both fish being goldfish, multiply the probabilities together.
p(taking two goldfish) = 9/20 * 17/39 = 153/780 = 51/260

Answer: Option C. 51/260

Answer 2

Total number of fish in the tank = 40
Number of goldfish in the tank = 18

Probability of picking a goldfish = 18/40
After picking first fish,we have 17 goldfish in the tank and total fish now are 39.

So, probability of picking the second goldfish = 17/39

The probability of picking two goldfish = 18/40 x 17/39 = 51/260

Thus, option C gives the correct answer