Question

There are five 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. A. 148 1 48 B. 28195 28 195 C. 536 5 36 D. 255

1. The probability that the first student is a girl, the second student is a boy, and the third student is a girl is 5/36

### How to determine the probability?

The given parameters about the students are
Boys = 5
Girls = 5
When a student is selected, the count of student in that gender decreases by 1 and the overall number of student decreases by 1
The selection is given as:
The first student is a girl, the second student is a boy, and the third student is a girl.
The individual probability of each selection is:
P(Girl) = 5/10
P(Boy) = 5/9
P(Girl) = 4/8
The probability of the selection is then calculated as:
P = 5/10 * 5/9 * 4/8
Evaluate the product
P = 5/36
Hence, the probability that the first student is a girl, the second student is a boy, and the third student is a girl is 5/36