| In a lottery, there are 15 boys and 10 girls. Three students are selected at random. What is the probability that 1 girl and 2 boys are selected? [NICL (AO) 2014] |
A) 31/47
B) 21/46
C) 22/47
D) 31/46
E) 21/47
Correct Answer: B
Solution :
| Required probability |
| \[=\frac{{}^{15}{{C}_{2}}\times {}^{10}{{C}_{1}}}{{}^{25}{{C}_{3}}}=\frac{10\times 15\times 7}{25\times 4\times 23}=\frac{21}{46}\] |
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