The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

ComputerHacker · Guest

Correction:
that's 2280/8000 = 28.5%

Austinap · Guest

Playing the game as it is, you have about a 29% chance of winning any given hand (figured this out by brute-force looping with javascript).... but if you change the game so that you win ties (i.e. he rolls a 10 and a 15, you roll a 15... you get paid) then you have nearly a 40% chance of winning now, a significant differant, but not enough.

heres my code:

win = 0;
loss = 0;
// total = win + loss
for (i = 1; i <= 20; i++){ // first dice
for(j = 0; j <= 20; j++) { // second dice
for(y = 1; y <= 20; y++){ // your dice
if((y >= i) && (y <= j)){
win += 1;
}else if((y >= j) && (y <= i)){
win += 1;
}else{
loss += 1;
}
}
}
}
odds = 100*(win/(win+loss));
alert(win + " wins");
alert(loss + " losses");
alert(odds + "% odds of winning any given hand");

Austinap · Guest

NOTE: in the above post change the <= and >= to just < or > to test the game "as is".