SOLUTION: 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,

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Question 1181086: 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 occurring.

Answer by ikleyn(52780) About Me  (Show Source):
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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 occurring.
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    P = %285%2F10%29%2A%285%2F9%29%2A%284%2F8%29 = %281%2F2%29%2A%285%2F9%29%2A%281%2F2%29 = 5%2F36.


At the first step, you select one of 5 girls among 10 students.


At the second step, you select one of 5 boys among remaining 9 students.


At the third step, you select one of remaining 4 girls among remaining 8 students.


It gives the formula.

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Solved, answered and carefully explained.

It can be solved in different ways, but this one is the fastest, simplest and the most straightforward.