Question

Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?

Answer 1

The probability that they each will catch 3 fish is 0.000063956

Explanation:

The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes for both the population and sample.

Here

Population size= N =200

Sample size= n =9= (3*3)

Number of successes in population = k = 3 hours

Number of successes in sample = x= 3

Applying the hyper geometric distribution

P (x=3) = kCx *(N-k) C (n-x)/ N Cn

= 3 C 3 * 197 C 6/ 200 C 9

=0.000063956

The probability that they each will catch 3 fish is 0.000063956