Probability pair over bigger pair?
 

Does anyone here know the probability that someone in a full table (ten players) will have a bigger pair when you hold:

1, KK
2, QQ
3, JJ
4, TT
5, 99
6, 88
7, 77
6, 66
7, 55
8, 44
9, 33
10, 22

Harrington says 4,2% with KK and 10% with QQ. If anyone knows the probability for the rest of the pairs, it would be very helpful. Thx.

Re: Probability pair over bigger pair?
 

K-K 4.39%
Q-Q 8.41%
J-J 12.16%
TT 15.52%
99 18.57%
88 21.32%
77 23.80%
66 26.03%
55 28.01%
44 29.77%
33 31.33%
22 32.69%


Math is located http://www.math.sfu.ca/~alspach/comp35/