[bigpooch]

There are C(52,4) = 270725 possible O8 hands.

A) Any A2:

AAA2: 4x4 = 16
A222: 16
AA22: 6x6 = 36
AA2x: 6x4x44= 1056
A22x: 1056
A2 other: 4x4xC(44,2)= 15136

total A2: 17316
chances of getting A2: 0.0639616 or about 1/15.6

B) For A3 hands, here are a few cases:

B1) For A3 with another suited card without a deuce:

A3 of same suit and two other (non deuce):
4xC(46,2) = 4140

A and 3 but non-3 is of same suit (no deuce:
4x(C(11,2)x3+(11x(3+3x36))) = 5544

total: 9684

B2) Other A3 with AA and a 3

AAA3 (no suited ace): 4
AA33 (no suited ace): 6
AA3x (no suited ace, no deuce): 6x2x20 = 240

total: 253