SOLUTION: A class consists of 12 girls and 18 boys. A president, vice-president and treasurer are chosen based on the number of votes. Find the probability of selecting a president, vice-pre
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Question 943193: A class consists of 12 girls and 18 boys. A president, vice-president and treasurer are chosen based on the number of votes. Find the probability of selecting a president, vice-president and treasurer where all 3 are different boys from the class. Answer by Edwin McCravy(20055) (Show Source):
You can put this solution on YOUR website! A class consists of 12 girls and 18 boys. A president, vice-president and treasurer are chosen based on the number of votes. Find the probability of selecting a president, vice-president and treasurer where all 3 are different boys from the class.
To get the numerator of the probability,
1. Choose the president any of the 18 boys.
2. Choose the vice-president any of the remaining 17 boys.
3. Choose the vice-president any of the remaining 16 boys.
Numerator of the probability = 18P3 = 18×17×16
To get the denominator of the probability,
1. Choose the president any of the 30 people.
2. Choose the vice-president any of the remaining 29 people.
3. Choose the vice-president any of the remaining 28 people.
Denominator of the probability = 30P3 = 30×29×28
Answer:
That's about 0.2
Edwin
