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.

Answer 1

The probability that the first student is a girl is 5/10.

The probability of the second selection being a boy is 5/9.

(since the first selection was a girl, there are 9 students left) 

The probability that the third student is a girl is 4/8

(there are 4 girls left after one was selected, and 8 students left in total, after the second selection.

The probability is (5/10)(5/9)(4/8)=0.139


Answer: 0.139