Question

Problem pagequestion there are 8 people fishing at lake connor: 4 have fishing licenses, and 4 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.

Answer 1

The probability that neither of the two randomly chosen people from a group of 8 at Lake Connor will have a fishing license is 3/14.

Step-by-step explanation:

To find this, we use the basic principle of probability where the desired outcome is divided by the total number of outcomes. Since there are two types of people, those with licenses and those without, we can focus only on the group without licenses. First, we find the number of ways to choose 2 people from the 4 who do not have licenses, which can be calculated using combinations: C(4,2) = 4! / (2!*(4-2)!) = 6. Next, we find the total number of ways to choose 2 people from the entire group of 8, which is C(8,2) = 8! / (2!*(8-2)!) = 28. Now we calculate the probability by dividing the number of desired outcomes by the total number of outcomes: P(No license) = 6 / 28 = 3 / 14.