A small class has 9 students, 5 of whom are girls and 4 of whom are boys. The teacher is going to choose two of the students at random. What is the probability
Question
A small class has
9
students,
5
of whom are girls and
4
of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form.
2 Answer

1. User Answers bankskaitlyn20
1 out of 9 because the teacher will either choose one girl or boy 
2. User Answers ChiKesselman
Answer:
[tex]\frac{5}{18}[/tex] is the probability that the first student chosen will be a girl and the second will be a boy.
Stepbystep explanation:
we are given the following information in the question:
Total number of students in a class = 9
Total number of girls in a class = 5
Total number of boys in a class = 4
We have to find the probability that the first student chosen will be a girl and the second will be a boy.
Formula:
[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]\text{P(first student chosen will be a girl and the second will be a boy)}=\\\text{P(first student chosen will be a girl)}\times \text{P(second student chosen will be a will be a boy)}[/tex]
Working:
[tex]\text{P(first student chosen will be a girl)} = \displaystyle\frac{5}{9}\\\\\text{P(second student chosen will be a boy)} = \displaystyle\frac{4}{8}\\\\[/tex]
[tex]\text{P(first student chosen will be a girl and the second will be a boy)}= \displaystyle\frac{5}{9}\times \frac{4}{8}\\\\\frac{20}{72} = \frac{5}{18}[/tex]
Hence, [tex]\frac{5}{18}[/tex] is the probability that the first student chosen will be a girl and the second will be a boy.