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In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

  • A.21/46
  • B.25/117
  • C.1/50
  • D.3/25

Answer: A

Choose one girl from 10 and two boys from 15, out of all ways to choose 3 from 25.

\[ P = \frac{{}^{10}C_{1} \times {}^{15}C_{2}}{{}^{25}C_{3}} = \frac{10 \times 105}{2300} = \frac{21}{46} \]

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