In a group of students, consisting of 20 people, 12 boys and 8 girls. Two students were randomly selected to be on duty.

| December 9, 2020 | education

In a group of students, consisting of 20 people, 12 boys and 8 girls. Two students were randomly selected to be on duty. Find the probability that among them there will be one boy and one girl.

A big event consists of two small independent ones, here is its formula:
P (C) = P (A) * P (B)

A big event is one boy and one girl.
Substitute in the formula and get:
R (C) = boy and girl
And- multiplication
We get:
P (S) = P (s) * P (d)

To find a small event:
P (A) = favorable outcomes (m) / number of total outcomes (n)

There are 20 outcomes in total, because 20 people
P (10) = 12/20 = 0.6 (12 because 12 boys, these are favorable for us)
P (d) = 8/20 = 0.4 (8 since 8 girls, these are favorable for us)

Now we substitute in our formula:
P (C) = 0.6 * 0.4 = 0.24



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