In a certain school the number of students of the second secondary year is 100. 60 girls and 40 boys. The director of the school selects randomly and simultaneously three students from all the classes of the second secondary year. 1. Calculate the probability that the director selects three students of the same gender (three boys or three girls). 236 2. Prove that the probability that the director selects two girls is 539* 3. Calculate the probability that the director selects at least one boy.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Exercise 3
Part A:
In a certain school the number of students of the second secondary year is 100.
60 girls and 40 boys.
The director of the school selects randomly and simultaneously three students from all
the classes of the second secondary year.
1. Calculate the probability that the director selects three students of the same
gender (three boys or three girls).
236
2. Prove that the probability that the director selects two girls is
539
3. Calculate the probability that the director selects at least one boy.
Transcribed Image Text:Exercise 3 Part A: In a certain school the number of students of the second secondary year is 100. 60 girls and 40 boys. The director of the school selects randomly and simultaneously three students from all the classes of the second secondary year. 1. Calculate the probability that the director selects three students of the same gender (three boys or three girls). 236 2. Prove that the probability that the director selects two girls is 539 3. Calculate the probability that the director selects at least one boy.
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