Recently, i had learnt about probabililties. My E.maths teacher had said that to avoid problems, the questions will always use phrases like "unbiased die", etc. But the problem is, aren't all die inherently biased? If i were to use a die which had pits to represent the numbers. Won't the 1 side be heavier then the 6 side? Even if i were to use a die which used painted dots to represent the numbers, won't the 6 side be heavier then the 1 side? So can i conclude that because of that, if i were to play a game which involved predicting the number which will appear on the die after every roll, and a pitted die was used, I should bet on the number 6 because the 1 side is heavier, so the number 1 will end up being the bottom more often, causing the number 6 to show up more often. Or do the laws of physics work differently? Or maybe something else? Just an extra question too. I know that 2^2 is really(couldn't find a sub-script button) = 2 x 2. I also know that 2^1/2 = [squ] 2. But what does 2^1/2 truly mean? I can't seem to visualize it.