Not sure if you guys are familiar with this game. The deck contains 108 cards. 4 Skip 8 Wild and 8 cards of each number 1-12.

We have six people playing each dealt 10 cards to start. What are the odds of being dealt a ten card straight? It just happened and I think its pretty nuts.

Correct me if I'm wrong, but I'm assuming you got dealt a natural 10 card straight. The math with wilds would be a lot more difficult.

For a natural 10-card straight, we have 3 rank sequences possible: 1-10, 2-11, and 3-12. For each rank there are 8 possible cards so this leads to 8^10 = 1,073,741,824 combinations for any given rank sequence. These also include straight flushes.

So for the 3 rank sequences possible there are 3*1,073,741,824 = 3,221,225,472 combinations.

The number of combinations that exist from the deck of 108 cards:
C(108,10) = 108!/98!/10! = 38,722,819,230,810

So the probability of a natural straight (or straight flush) is:
3,221,225,472/38,722,819,230,810 =~ 1 in 12,021

If we want to exclude the straight flushes, we need to subtract 4*2^10 from the 8^10 term since there are 2 cards of each rank in each of the 4 suits. So the number of combinations of a straight only is:
3*(8^10-4*2^10) = 3,221,213,184

Probability:
3,221,213,184/38,722,819,230,810 =~ 1 in 12,021

As we can see, ignoring straight flushes does very little because a 10 card straight flush would be:

4*2^10*3 = 12,288 combos
Probability:
12,288/38,722,819,230,810 =~ 1 in 3.15 billion

I didn't want to include that for fear of difficulty... but yea it did include a wild card. I had 23456W89T11...it was sick

But if it includes a wild card that is going to dramatically change the probability of getting the hand. That means instead of needing 10 unique numbers, you only needed 9 unique numbers and one wild card or the the final unique number. Needless to say there are many more combinations of the latter than the former.

right...i didnt mean the odds increased...just meant the difficulty of the problem increased

Yeah, I understood what you meant. I was just also mentioning that it does make a big difference in terms of the probability that wilds are included.