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Two fair dice are rolled. Let X equal the product of the 2
Chapter 4, Problem 2P(choose chapter or problem)
QUESTION:
Problem 2P
Two fair dice are rolled. Let X equal the product of the 2 dice. Compute P{X = i} for i = 1, ... ,36.
Questions & Answers
QUESTION:
Problem 2P
Two fair dice are rolled. Let X equal the product of the 2 dice. Compute P{X = i} for i = 1, ... ,36.
ANSWER:
Answer
Step 1 of 1
(a)
Two fair dice are rolled.
Let equal the product of the
dice.
We are asked to compute for
We can construct the sample space of possible outcomes. These numbers are computed in given below the table, where the row corresponds to the first die and the column corresponds to the second die.
In each square, we have placed the product of the two dice.
Each pair has a probability of
Pair of dice |
1 |
2 |
3 |
4 |
5 |
6 |
1 |
1 |
2 |
3 |
4 |
5 |
6 |
2 |
2 |
4 |
6 |
8 |
10 |
12 |