Same rank same color

[Red_Diamond]

Just a quick check to make sure I didn't skip the obvious.

Odds of two aces in the hole being dealt AND being the same color should be a 662-to-1 dog correct?

[jay_shark]

2/1326 is equivalent to 1324:2 which is 662:1 .
Correct .

[Red_Diamond]

There seems to be a missing digit (even after correcting from fraction to odds) for 2/1326 --> 1324:2

How did you arrive to that number?

[jay_shark]

This means that there are two red aces or two black aces .

1326 comes from 52c2=52*51/2=1326 . In other words , there are 1326 different hands . Two of the pairs are monotone aces .This means that 1324 pairs of hands are non- monotone aces . The odds against flopping monotone aces must be 1324:2 or equivalently dividing top and bottom by two we get 662:1 .

ie , the probability you roll a 1 from a 6 sided die is 1/6 . The odds against rolling a 1 are 5:1 . This means that five numbers are not 1's and one number is a 1 . Also , the odds in favor must be 1:5 which is just the exact opposite .

1/6 = odds against of (6-1):1

In general p/(p+q) is equivalent to odds against of (p+q-p) or q . Or odds in favor of p:q .

[Red_Diamond]

Alright I see now.

I went about it by: (4/52)x(1/51)