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
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
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