Suki is enrolled in one data- management class at her school

hey

Suki is enrolled in one data- management class at her school and Leo is in another. A school quiz team will have four volunteers, two randomly selected from each of the two classes. Suki is one of 5 volunteers from her class, Leo is one of four volunteers from his. Calculate the probability of the two being on the team and explain the steps in your calulation.

wow thats a long one..

So what I did was 2p1/5p2 + 2p1/4p2 = 2/20 + 2/12 = 16/60 and its wrong!

please help

a)

Suzi plus 4 others in one class
two chosen at random
probability S is chosen= 1*4C1 /5C2
Prob.S = 4/ [5*4/1*2]
Prob S= 4/10
Prob S= 2/5

b)
Leo[L] plus 3 others in a class
two chosen at random
Probability Leo chosen = 1*3C1 /4C2
prob.L=3/[4*3/1*2]
prob L= 3/6
Prob L= 1/2

c )
Probability S and L are both chosen :
[when you say AND you multiply]
Prob= [2/5][1/2]
Prob= 1/5 answer

Arthur