Question

QUESTION:
Let's say I want to test to see if a die is fair.
Why shouldn’t I just do one test to see if there are too many ones, one test to see if there are too many twos, one test to see if there are too many threes and so on?

Answer 1

A Die is Fair, It means that each of the faces has the same probability of landing facing up.It means that Die is "fair" If each of the faces has the probabilty of 1/6.

And the loaded die is designed in a special way that 3's or 4's are relatively likely to occur, and the remaining numbers (1,2,5, and 6) are unlikely to occur.It means that it's probability is not same.

That a reason we should'nt to test to see if thee are too many ones, one test to see if there are too many twos, one test to see if there are too many threes and so on.