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Q#1
Probability and Statistics
GATE EC 2025
NAT
+2 marks
-0 marks
Two fair dice (with faces labeled 
, and 6) are rolled. Let the random variable 
denote the sum of the outcomes obtained.
The expectation of is _________ (rounded off to two decimal places).
Explanation:
Given that is a random variable, denote the sum of the outcomes when two fair dice is rolled.
Sum of two dice 
Sum | Possible Pairs | No. of ways |
2 |
| 1 |
3 |
| 2 |
4 |
| 3 |
5 |
| 4 |
6 |
| 5 |
7 |
| 6 |
8 |
| 5 |
9 |
| 4 |
10 |
| 3 |
11 |
| 2 |
12 |
| 1 |
X | 2 | 3 | 4 | 5 | 6 |
|
|
|
|
|
|
X | 7 | 8 | 9 | 10 | 11 | 12 |
|
|
|
|
|
|
|
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