1.Events:
A- ll of the choose balls are white
- result of the die rill is i,
Probabilities:
Since the die is fair:
If the die rolls i we choose a combination of i balls, among black and five white balls, therefore
Calculate:
2. are competing hypothesis, that is, mutually exclusive events, union of which is the whole outcome space, so conditioning on the roll of the die:
Substituting yields:
can be calculated from the definition if we note the identity