Question

Mrs. Bowie's Math class has 10 girls and 15 boys.

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She selects one student to run an errand for her, then while that student is gone from the room, she selects another student to work out a problem from the board. Find the probability that both students she selected are girls.

Answer 1

Explanation:

10/25 chance

Answer 2

Explanation:

Let's assume there are n students in total, and g students are girls. The probability of selecting a girl for the first student is g/n, as there are g girls out of n students.

After the first student leaves the room, there are now n-1 students remaining, with g-1 girls. The probability of selecting a girl for the second student is (g-1)/(n-1).

To find the probability that both selected students are girls, we need to multiply the probabilities of each event happening. So the overall probability is:

(g/n) * ((g-1)/(n-1))

Simplifying this expression, we have:

(g * (g-1))/(n * (n-1))

This is the probability that both selected students are girls.