2011-11-06, 09:05 PM
Locked Wrote:273 546 819
327 654 981
219 438 657
192 384 576
I don't think number 4 is fair because I've done it before and is fairly common.
Spoiler
Well the math puzzles I'll give out will be a mix of common with... wait wut? style problems (as seen in the n, 2n, 3n problem).
5) This is a gambling game problem:
Players bet on a number between 1 and 6 (including 1 and 6). The operator (think dealer) tosses three dice. If all three dice show the same face value, say three 6s, those who bet on 6 win three times their bet, and everyone else loses. If the dice came up with two 6s and a 3, those who backed 6 win twice their bet, and those who bet on 3 win the amount of their bet (aka, they get their money back AND they get that much more back).
"Since each face has a one in six chance of coming up, when three dice are tossed there are therefore 3 in 6 chances that the number I bet on will appear... and if my number comes up more than once... I win even more! So it must be a good game to play."
ex: you bet $1 on 6.
Triple sixes occur. you get your dollar back and win 3 dollars on top of that.
double sixes occur. you get your dollar back and win 2 dollars on top of that.
single six occurs. you get your dollar back and win 1 dollar on top of that.
no sixes occur. You lose your dollar.
Is it? Your job is to work out the true odds of this game!