There are 32 students in mrs. worrell's classroom. there 12 boys and 20 girls. she needs to select two students to represent her class for a agora student math department meeting. she will put all students names on a piece of paper and randomly select two names, one after the other. what is the probability that she will select a boy first and then a girl?

15/64 = 23.4 %

Step-by-step explanation:

Let's consider the first two selections. Let's call B the case in which she extracts a boy and G the case in whish she extracts a girl.

For each selection, the probabilty of event B (selecting a boy) is

While the probability of event G (selecting a girl) is

We are asked to find the probability that the first two events are B and then G:

In the first two selections, we have 4 possible combinations:

BB, BG, GB, GG

The probability for each combination is given by:

The second one is the probability we are searching for, so the probability that she will select a boy first and then a girl is 15/64, or 23.4%.

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