Group A has 2 boys and 7 girls, group B has 3 boys and 4 girls and group C has 2 boys and 2 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
Choose the correct choice from the following answers:
A) 312/445
B) 105/378
C) 291/105
D) 209/315
E) 77/272
Group A has 2 boys and 7 girls; 9   Group B has 3 boys and 4 girls; 7   Group C has 2 boys and 2 girls. 4   Selected group should have one girl and two boys.   Girl from A, boy from B, boy from C: 7/9*3/7*2/4 = 1/6;   Boy from A, girl from B, boy from C: 2/9*4/7*2/4 = 4/63;   Boy from A, boy from B, girl from C: 2/9*3/7*2/4 = 3/63.   Sum = 1/6 + 4/63 + 3/63 = 105/378.   Answer: 105/378.
<result>B</result>
Group A has 2 boys and 7 girls, group B has 3 boys and 4 girls and group C has 2 boys and 2 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?