Games Tools

Games tools for the probability and randomness behind tabletop and card play: exact distributions for the sum of many dice, advantage and disadvantage on a single twenty-sided roll, percentile checks against a target, shuffled draws from a standard or jokered deck, printable bingo cards with a caller and win-pattern checks, lottery number sets drawn from the real game matrices, and Texas Hold'em equity against one to nine opponents. The dice tools here convolve one die at a time instead of fitting a normal curve, which is why a tail probability on the order of one in 10^22 is reported as a figure rather than rounded away to zero. The assumption that costs players the most is that a sum of dice behaves like one big die: two six-sided dice do not land on each total equally often, and a 7 arrives 16.67 percent of the time against 2.78 percent for a 12, which is the whole reason an exact distribution is worth having. If you are new to the category, start with the dice tools to see the shape of a sum, then the card and poker tools, which are careful to say which figures are counted exactly and which are sampled with a stated margin. Every random draw here comes from the browser's own pseudorandom generator, which is right for play and wrong for anything that has to be unpredictable.

9 tools available