Quantitative Aptitude Ques 313

Question: 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]

Options:

A) 31/47

B) 21/46

C) 22/47

D) 31/46

E) 21/47

Show Answer

Answer:

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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