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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:

Correct Answer: 21/46

Explanation:

Let S be the sample space and E be the event of selecting 1 girl and 2 boys.


 


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


 


                =  25 C 3   = 2300.


 


         n(E)= 10 C 1 * 15 C 2  = 1050. 


 


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


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