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: Answers
A) 21
B) 21/41
C) 21/47
D) 21/45
E) 21/46
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) = 1050 = 21 .   n(S) 2300 46
<result>E</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: