There are 8 people fishing at Lake Connor: 5 have fishing licenses, and 3 do not. An inspector chooses two of the people at random. What is the probability that the first person chosen has a license and the second one does not?
Write your answer as a fraction in simplest form.
The probability of choosing a person with a fishing license on the first draw is 5/8. Since there are now only 4 people left (3 without licenses and 1 with a license), the probability of choosing a person without a license on the second draw is 3/7.
Therefore, the probability of choosing a person with a license followed by a person without a license is:
(5/8) * (3/7) = 15/56
So the answer is 15/56 in simplest form.