Homework SourseTwo three sided dice with the numbers 246 are rolled and the
Two three sided dice with the numbers 2,4,6 are rolled and the sum of them is recorded. what is the expected value of the sum?
Two three sided dice with the numbers 2,4,6 are rolled and the sum of them is recorded. what is the expected value of the sum?
Two three sided dice with the numbers 2,4,6 are rolled and the sum of them is recorded. what is the expected value of the sum?
Solution
Tabulating the possible outcomes, we have
Thus, summarizing with probabilities,
Thus, as
E(x) = Sum(x P(x))
E(x) = 8 [ANSWER]
| die 1 | die 2 | sum |
| 2 | 2 | 4 |
| 2 | 4 | 6 |
| 2 | 6 | 8 |
| 4 | 2 | 6 |
| 4 | 4 | 8 |
| 4 | 6 | 10 |
| 6 | 2 | 8 |
| 6 | 4 | 10 |
| 6 | 6 | 12 |
