Yeah me too... I think it just means HIGHLY LIKELY... but out of 8 dice rolls, how can you get 9 sixes? etc. It's confuding... like when something has a 200% chance of happening... wtf? lol. I never said I knew the answer to my follow up questions hehe. Though I'm with you in that the 1/2, 1/2, 1/8 is better than the 1/4, 1/4, 1/4

btw, about rolling 6 six-sided die and seeing what your chances are of getting a six, look at the probability of NOT getting a 6. Ie, the probably of getting at least one six after 6 rolls is:

p = 1 - ((5/6)^6)

or add up all the numbers in the binomial distribution except the last one in the line

Actually, the first case is exactly like the second. Your chances of winning when all three are playing are not 1/4 + 1/4 + 1/4, they are 1 - (3/4)^3 = 0.578125. Same thing with the other setup: 1 - (1/2)*(1/2)*(7/8) = 0.78125. Two 1/2 chances and one 1/8 chance are significantly better odds for you.