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:
Pick one:
A) 21/46
B) 25/117
C) 1/50
D) 3/25
E) None of these
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   = 25C3 `   =	(25 x 24 x 23)/(3 x 2 x 1)   = 2300.   n(E)	= (10C1 x 15C2)   =	[10 x	((15 x 14)/(2 x 1))]   = 1050.   P(E) =n(E)/n(S)=1050/2300=21/46	.   21/46nswer :21/46
<result>A</result>
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: