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:
21/46
1/5
3/25
1/50
Explanation:
Let, S = sample space, E = event of selecting 1 girl and 2 boys.
Then, n(S) = Number of ways of selecting 3 students out of 25 = 25C3 = 2300.
n(E) = 10C1 x 15C2 = 1050.
P(E) = n(E)/n(s) = 1050/2300 = 21/46.