Discussion
A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked.
Answer: C
Choose one boy from 10 and two girls from 15, out of all ways to choose 3 from 25.
\[ P = \frac{{}^{10}C_{1} \times {}^{15}C_{2}}{{}^{25}C_{3}} = \frac{10 \times 105}{2300} \]
\[ = \frac{1050}{2300} = \frac{21}{46} \]
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