I didn't calculate the probability right in the last part, it's 5040/56700, which is 0.0(8), or 4/45.
Explanation:
Where did I go wrong:
"
C(5,2)C(10-5,0)/C(10,2)=10/45 for the hipergeometric part, then, because the repeated unit can only be one of those first two that matched, it has 2/10...