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STAT 1301
Probability & Statistics
L
t
3
Lecture 3
Unordered selection with
replacement:
Three Dice
•
The casino game big-small is a casino
game played with three dice.
•
How many unordered outcomes are
there?
•
It is a typical example of counting the
number of unordered subsets (3
numbers) from a set of distinguishable
objects (faces 1 – 6) with replacement as
there can be more than one die landing
on the same number (e.g. {1, 1, 3}, {6, 6,
6}
t )
6}, etc).
•
Different orderings of the numbers are
treated as the same outcome (e.g. {1, 2,
3} is the same as {2, 1, 3}, {4, 5, 5} is the
same as {5, 4, 5}, etc).
•
If a set of n indistinguishable objects is
to be partitioned into r distinguishable
groups
groups.