Example 1:

Say I have a sample of rolls of a dice which may be 'uneven'

Say I have 10000 rolls, 1000 came up 1, 1000 came up 2, 2000 came up 3, 2000 came up 4, 2000 came up 5, 2000 came up 6.

Now I require some kind of test for the 'population' probability that each number comes up.

Example 2: One hundred tosses of a coin, 33 come up heads, 77 tails.

A test for the probability of obtaining a head?

Any help much appreciated. Cheers, ns