SOLUTION: A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?

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Question 1167333: A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability is the ratio of the number of all possible pairs chosen from 15 girls 
to the number of all possible pairs chosen from all 15+10 = 25 students.


The numerator is  C%5B15%5D%5E2 = %2815%2A14%29%2F2 = 15*7 = 105.


The denominator is  C%5B25%5D%5E2 = %2825%2A24%29%2F2 = 25*12 = 300.


The ratio, i.e. the probability under the problem's question, is  P = 105%2F300 = 35%2F100 = 7%2F20 = 0.35 = 35%.     ANSWER

Solved.

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    - Elementary Probability problems related to combinations
in this site.

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The referred lesson is the part of this online textbook under the topic  "Solved problems on Probability".


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