Odds

Theoretical frequencies, simulation results, and probability tables for the ranked hand system.

Probabilities

Never tell me the odds!

Well, we do tell you the odds

Hand odds in Corellian Spike Sabacc

We present two sets of numbers:

  1. Theoretical 5-card odds.
    These are exact combinatorial probabilities for a random 5-card deal from the 62-card Sabacc deck, with no drawing, swapping, or spike dice. There are 6,471,002 possible 5-card combinations. Each of the 5-card hands is classified into exactly one category, similar to standard 5-card draw poker odds.
    This combinatorial model is a strong approximation of real play odds in Corellian Spike Sabacc, because during play each player may build their hand up to a maximum of five cards. The distribution of final hands therefore closely tracks the mathematical distribution of 5-card combinations, especially in terms of their relative rarity.
  2. In-game frequencies.
    These are empirical frequencies measured over 136 million simulated games with 4 players using hunter strategies that actively chase the given ranked hand over 8,000,000 games per ranked hand and under the full Corellian Spike Sabacc rules (drawing, swapping, discard+draw and forced discard+draw and wipeouts from the spike dice). They show how often each hand type actually appears at the table as a final hand per player. Odds are therefore per player, per game.

The theoretical table shows the inherent rarity of each hand in the deck.
The simulated table shows how the game mechanics (drawing, swapping, spike dice, and player behavior) increase the chances of seeing spectacular hands in real play.

Odds sections

Table One

Theoretical 5-Card Odds

Hand Type Ranked Sabacc Hand Distinct Hands Probability Odds Hands Probability Odds
Sylop + 4 of a kind Full Sabacc 18 0.000278% 359,500 : 1 180 0.002782% 35,950 : 1
Fleet 162 0.002503% 39,944 : 1
Triplet + pair Rhylet 18 0.000278% 359,500 : 1 288 0.004451% 22,469 : 1
Wild Rhylet 270 0.004172% 23,967 : 1
5 card straight Gee Whiz 486 0.007510% 13,315 : 1 1,458 0.022531% 4,438 : 1
Full Straight 972 0.015021% 6,657 : 1
Sylop + 4 card straight Sylop Straight Khyron 2,268 0.035049% 2,853 : 1 2,268 0.035049% 2,853 : 1
4 of a kind Five Card Squad 90 0.001391% 71,900 : 1 5,010 0.077422% 1,292 : 1
Squadron 4,920 0.076032% 1,315 : 1
Sylop + 2 pairs Sylop Rule of Two 7,290 0.112656% 888 : 1 7,290 0.112656% 888 : 1
3 of a kind Banthas Wild 11,106 0.171627% 583 : 1 11,106 0.171627% 583 : 1
2 Sylops Pure Sabacc 28,010 0.432854% 231 : 1 28,010 0.432854% 231 : 1
4 card straight Straight Khyron 58,968 0.911265% 110 : 1 58,968 0.911265% 110 : 1
2 pairs Idiot's Rule 5,040 0.077886% 1,284 : 1 202,734 3.132961% 32 : 1
Rule of Two 197,694 3.055076% 33 : 1
Sylop + pair Yee-Haa 242,040 3.740379% 27 : 1 242,040 3.740379% 27 : 1
Pair Pair 1789698 27.657201% 4 : 1 1,789,698 27.657201% 4 : 1

Table Two

In-Game frequencies

Hand Type Ranked Sabacc Hand Distinct Hands Probability Odds Hands Probability Odds
Sylop + 4 of a kind Full Sabacc 41 0.000513% 195,122 : 1 399 0.004988% 20,050 : 1
Fleet 358 0.004475% 22,346 : 1
Triplet + pair Rhylet 36 0.000450% 222,222 : 1 624 0.007800% 12,821 : 1
Wild Rhylet 588 0.007350% 13,605 : 1
5 card straight Gee Whiz 511 0.006388% 15,656 : 1 2,507 0.031338% 3,191 : 1
Full Straight 1,996 0.024950% 4,008 : 1
Sylop + 4 card straight Sylop Straight Khyron 4,241 0.053013% 1,886 : 1 4,241 0.053013% 1,886 : 1
4 of a kind Five Card Squad 175 0.002188% 45,714 : 1 8,269 0.103363% 967 : 1
Squadron 8,094 0.101175% 988 : 1
Sylop + 2 pairs Sylop Rule of Two 11,754 0.146925% 681 : 1 11,754 0.146925% 681 : 1
3 of a kind Banthas Wild 18,609 0.232613% 430 : 1 18,609 0.232613% 430 : 1
2 Sylops Pure Sabacc 41,338 0.516725% 194 : 1 41,338 0.516725% 194 : 1
4 card straight Straight Khyron 78,362 0.979525% 102 : 1 78,362 0.979525% 102 : 1
2 pairs Idiot's Rule 5,672 0.070900% 1,410 : 1 223,870 2.798375% 36 : 1
Rule of Two 218,198 2.727475% 37 : 1
Sylop + pair Yee-Haa 238,861 2.985763% 33 : 1 238,861 2.985763% 33 : 1
Pair Pair 1,587,105 19.838813% 5 : 1 1,587,105 19.838813% 5 : 1

Comparison

Galaxy's Edge rules comparison

For comparisson, 8 million games per target hand, total occurances of the ranked hands per player with Galaxy's Edge rules (including the Galaxy's Edge dice rules), using the same method as above.

Ranked Sabacc Hand Hands Probability Odds
Pure Sabacc35,3200.441494%227 : 1
Full Sabacc200.000247%405,063 : 1
Fleet1670.002084%47,976 : 1
Yee-Haa193,3242.416553%41 : 1
Rhylet170.000209%477,612 : 1
Squadron5,5290.069106%1,447 : 1
Gee Whiz2470.003088%32,389 : 1
Straight Khyron57,3820.717275%139 : 1
Banthas Wild12,6060.157575%635 : 1
Rule of Two176,0512.200638%45 : 1
Pair1,577,12819.714094%5 : 1