Question 1161143
Total ways to choose 6 from 13 is 13C6, so that is the denominator.

numerator is 6 so 6C3*7C3=700, as you wrote

at most two boys.
0 boys and that numerator is 7C6 or 7
1 boy and that numerator Is 7C5*6C1=126
2 boys and it is 7C4*6C2=35*15=525
That sum is 658
the probability is 658/1716-0.3834