In a class there are 15 boys and 10 girls Three students are selected at random The probability that...........

Quantitative Aptitude ( CCS) Probability

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:

20/21

19/46

21/46

22/45

Let , S - sample space

E - event of selecting 1 girl and 2 boys.

Then, n(S) = Number ways of selecting 3 students out of 25 = 25C3 = 2300.

n(E) = 10C1×15C2 = 1050.

P(E) = n(E)/n(s) = 1050/2300 = 21/46

Hence, option 3 is the correct answer.

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