There are seven boys and five girls in a class. the teacher randomly selects three different students to answer questions. the first student is a girl, the second student is a boy, and the third student is a girl. find the probability of this occuring.

The probability of this occuring is 7/66

The probability of an event is defined as the possibility of an event occurring against sample space.

Permutation is the number of ways to arrange objects.

Combination is the number of ways to select objects.

Let us tackle the problem!

There are seven boys and five girls in a class

There are a total of 12 students.

The possibility of being elected first is a woman

The probability of being choosen first is a girl P(G₁):

The probability of being choosen second is a boy P(B):

The probability of being choosen third is a girl P(G₂):

The probability of choosing the first student is a girl, the second student is a boy, and the third student is a girl:

We can also use permutations to get this answer.

From 5 girls we will arrange 2 girls as first and third student:

From 7 boys we will arrange 1 boys as second student:

The total number of arrangement 3 different students from total of 12 students.

The probability of choosing the first student is a girl, the second student is a boy, and the third student is a girl:

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

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