there are 8 people fishing at lake connor: 4 have fishing licenses, and 4 do not. an inspector chooses two…

Explanation:

Step1: Calculate first - pick probability

The total number of people is 8, and the number of people without a license is 4. The probability that the first - person chosen has no license is $\frac{4}{8}=\frac{1}{2}$.

Step2: Calculate second - pick probability

After one person without a license is chosen, there are 7 people left and 3 people without a license. So the probability that the second - person chosen has no license, given that the first one had no license, is $\frac{3}{7}$.

Step3: Calculate combined probability

By the multiplication rule for independent events (in the context of sequential non - replacement selection), the probability that neither person has a license is the product of the probabilities of each event. So $P=\frac{4}{8}\times\frac{3}{7}=\frac{12}{56}=\frac{3}{14}$.

Answer:

$\frac{3}{14}$