Part One: Probability
Case Study #1.8
Probability Computation Rules
Case
Description: Compute selected probabilities associated with a pair of dice.
Pair of Dice
(not fair):
Pair of Dice (not fair):
d4
model
|
Face Value |
Probability |
|
1 |
4/10 or .40
or 40% |
|
2 |
3/10 or .30
or 30% |
|
3 |
2/10 or .20
or 20% |
|
4 |
1/10 or .10
or 10% |
|
Total |
10/10 or 1.00
or 100% |
d3
model
|
Face Value |
Probabilty |
|
1 |
1/6 or .1666
or 16.67% |
|
2 |
2/6 or .3333
or 33.33% |
|
3 |
3/6 or .50 or
50.00% |
|
Total |
1.00 or 100% |
The experiment:
On each trial of the experiment, we toss the pair of dice (defined above) and
observe the pair of faces that show. For simplicity, consider the d4 the
"first die" in the pair, and the d6 the "second die" in the
pair.
Case
Objectives: Lay out the possible face-pairs, and compute the probability for
each pair. State any required assumptions.
Consider the
random variable that maps the pair of face values into the sum of the face
values. Compute Pr{ SUM is a multiple of 3 }. Compute Pr{ SUM in 3,4,7 }