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.

Question

Theodore Valentine

Mathematics

11 November, 23:45

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.

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Answers (1)

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Ashanti Schultz · 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