There are
7

people fishing at Lake Connor:
5

have fishing licenses, and
2

do not. An inspector chooses two of the people at random. What is the probability that neither person has a license? Write your answer as a fraction in simplest form.

The probability of finding the first person without a license is 2/7. When he is "eliminated" there will be one less person out of the 7 (so 6 people in total left), and only one person without a license. the new probability is now 1/6. You then multiply these 2 fractions. 1/6 times 2/7= 1/21. The probability that the inspector will pick the 2 without a license is 1/21

There are 7 people fishing at Lake Connor: 5 have fishing licenses, and 2 do not. An inspector chooses two of the people at random. What is the probability that neither person has a license? Write your answer as a fraction in simplest form.

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There are
7

people fishing at Lake Connor:
5

have fishing licenses, and
2

do not. An inspector chooses two of the people at random. What is the probability that neither person has a license? Write your answer as a fraction in simplest form.