flop odds: hit an ace or trips

[howzit]

what are the flop odds on hitting an ance OR trips.

Eg. A8o.

need to see trip 8s, trip aces or a single ace, or quads.

[Muck]

This is my quick maths shot at it, so feel free to correct but it looks like:

117,600 possible flops

21168 possible Axx, xAx, xxA combinations
so 1 in 6

864 possible AAx, AxA, xAA combinations
so 1 in 136

Same for trip 8s

6 possible AAA combinations
1 in 19600

So toal outs would be 21168 + 864 + 864 + 6 = 22902


Chance to trip up with aces or eights, or hit your ace, or hit quad aces is:
1 in 5.134

[gol4pro]

50 cards left in the deck
50c3 total flops = (50x49x48)/(3x2x1) = 19600 possible flops

probability of AAA= (3c3)/(50c3) = 1/19600

probability of AAx(where x is not an 8) OR 88x (where x is not an A) = (3c2)(44c1)/(50c3) = 6x44/19600 = 264/19600 = 33/2450 = about 1/80

probability of AAx (x is not an 8) = 1/2(33/2450) = 33/4900 = about 1/160

A single Ace (but not 2 pair, trips, or quads) = (3c1)(44c2)/(50c3) = (3x946)/19600 = 2838/19600 = 1419/9800 = 14.4%