Homework SourseIf you roll a pair of dice one time only find the probabilit
If you roll a pair of dice one time only, find the probabilities that the sum is equal to each of the integers 2 through 12
Solution
Here w=if you roll a pair of dice one time only.
And let X be a random variable that the sum of the pair of dice.
And possible values of X are 2,3,4,5,6,7,8,9,10,11,12.
We have to find all these probabilities.
The possible values of the pair od two dice are,
The probability distribution for X = 2,3,4,5,6,7,8,9,10,11,12 is,
| (1,1) | (1,2) | (1,3) | (1,4) | (1,5) | (1,6) |
| (2,1) | (2,2) | (2,3) | (2,4) | (2,5) | (2,6) |
| (3,1) | (3,2) | (3,3) | (3,4) | (3,5) | (3,6) |
| (4,1) | (4,2) | (4,3) | (4,4) | (4,5) | (4,6) |
| (5,1) | (5,2) | (5,3) | (5,4) | (5,5) | (5,6) |
| (6,1) | (6,2) | (6,3) | (6,4) | (6,5) | (6,6) |
