Answer:
The probability of this occurring is [tex]\frac{7}{66}[/tex]
Step-by-step explanation:
Given : There are seven 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.
To Find : The probability of this occurring ?
Solution :
Number of boys = 7
Number of girls = 5
Total number of student = 12
The teacher randomly selects three different students to answer questions.
The probability when first student is girl is [tex]\frac{5}{12}[/tex]
The probability when second student is boy is [tex]\frac{7}{11}[/tex]
The probability when third student is girl is [tex]\frac{4}{10}[/tex]
The probability of this occurring is
[tex]P=\frac{5}{12}\times \frac{7}{11}\times\frac{4}{10}[/tex]
[tex]P=\frac{7}{66}[/tex]
Therefore, The probability of this occurring is [tex]\frac{7}{66}[/tex]
