UltimateX Strategy

[TripleTriple]

Question for those playing UltX frequently.

Question for those playing UltX frequently.
How did you earn the million dollars you are now quickly frittering away?

[onemoretry]

Question for those playing UltX frequently.
How did you earn the million dollars you are now quickly frittering away?

I take it that you're not a fan of the game. I'm certainly with you on that - miles and miles too volatile for my taste!

[Tedlark]

Question for those playing UltX frequently.

Question for those playing UltX frequently.
How did you earn the million dollars you are now quickly frittering away?

They got the million dollars by starting out with a billion dollars.

Can't take credit for that, goes to Sir Richard Branson. Someone once asked him how to become a millionaire in the airline industry and he responded by saying, if you want to become a millionaire in the airline industry, start by being a billionaire in the airline industry.

[3for3]

Casinos make a ton from UX.

Your strategy shifts based on the total multipliers in play, plus the expected return of your current hand and the potential next multiplier. It’s a whole different ball game compared to standard single-hand betting with 5 credits. In 10-play mode, the total multiplier can range from 10 to 120, meaning—technically—you’d need 111 distinct strategies to optimize gameplay.

I’m not sure how the exact return is calculated mathematically. Say you’re dealt A2358 (offsuit) on 9/6 DDB, with a total of 10 multipliers in play. If you’re betting 5 credits, holding just A yields a return of 2.367 credits, while holding A245 drops it to 2.021. However, in UX, you’d actually want to hold A245, because it gives you a chance to connect a straight, which comes with an 8X multiplier. The question is: what’s the exact expected return of holding A245 in UX? This feels like a Markov decision problem, but how do you precisely determine the expected return?

Well, not exactly 111. Some of the combinations are impossible, ie 119. Many more of them are so unlikely as to be impossible, ie 118, which would require 9 FHs and 1 flush. I'd guess the chances of getting that combination are smaller than 1/the number of atoms in the universe.

Having strategies/break points for common hand types where the multiplier does matter can be useful; for example I have a number when to hold just AA vs AAPP.

[TripleTriple]

Casinos make a ton from UX.

Your strategy shifts based on the total multipliers in play, plus the expected return of your current hand and the potential next multiplier. It’s a whole different ball game compared to standard single-hand betting with 5 credits. In 10-play mode, the total multiplier can range from 10 to 120, meaning—technically—you’d need 111 distinct strategies to optimize gameplay.

I’m not sure how the exact return is calculated mathematically. Say you’re dealt A2358 (offsuit) on 9/6 DDB, with a total of 10 multipliers in play. If you’re betting 5 credits, holding just A yields a return of 2.367 credits, while holding A245 drops it to 2.021. However, in UX, you’d actually want to hold A245, because it gives you a chance to connect a straight, which comes with an 8X multiplier. The question is: what’s the exact expected return of holding A245 in UX? This feels like a Markov decision problem, but how do you precisely determine the expected return?

Well, not exactly 111. Some of the combinations are impossible, ie 119. Many more of them are so unlikely as to be impossible, ie 118, which would require 9 FHs and 1 flush. I'd guess the chances of getting that combination are smaller than 1/the number of atoms in the universe.

Bet! I'll take the over. I'd guess it's even way better than the chance of reverse sequential and sequential dealt royals both in diamonds on back-to-back hands.