Homework SourseA player is going to roll two dice and list the total outcom
A player is going to roll two dice and list the total outcomes {2, 3, …12} in the following table:
If we define the random variable X as the total of the two dice:
Find the following probabilities :
i. What is the probability of 3 X 7?
ii. What is the probability of X 5?
iii. What is the probability of X 6?
| Die 1/ Die 2 | 1 | 2 | 3 | 4 | 5 | 6 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Solution
1)probability of 3 X 7 = SAMPLE SPACE WILL BE
HENCE TOTAL 21 CASES AND TOTAL 36
PROBABILITY = 21/36
2)
probability of X 5 = SAMPLE SPACE WILL BE
5
TOTAL CASES = 10
PROBABILITY = 10/36
3) probability of X 6 SAMPLE SPACE =
TOTAL CASES ARE 26 PROBABILITY = 26/36
| Die 1/ Die 2 | 1 | 2 | 3 | 4 | 5 | 6 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 2 | 3 | 4 | 5 | 6 | 7 | |
| 3 | 4 | 5 | 6 | 7 | ||
| 4 | 5 | 6 | 7 | |||
| 5 | 6 | 7 | ||||
| 6 | 7 | HENCE TOTAL 21 CASES AND TOTAL 36 PROBABILITY = 21/36 |
