Question 975261: A pair of dice is to be rolled. (Give your answers as fractions.)
(a) Find the probability of the sum P(3) of the two dice.
(b) Find the probability of the sum P(4) of the two dice.
(c) Find the probability of the sum P(5) of the two dice.
(d) Find the probability of the sum P(6) of the two dice.
(e) Find the probability of the sum P(7) of the two dice.
(f) Find the probability of the sum P(8) of the two dice.
(g) Find the probability of the sum P(9) of the two dice.
(h) Find the probability of the sum P(10) of the two dice.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
| Sum |
Ways |
# of Ways |
| 2 | 1,1 | 1 |
| 3 | 1,2; 2,1 | 2 |
| 4 | 1,3; 2,2; 3,1 | 3 |
| 5 | 1,4; 2,3; 3,2; 4,1 | 4 |
| 6 | 1,5; 2,4; 3,3; 4,2; 5,1 | 5 |
| 7 | 1,6; 2,5; 3,4; 4,3; 5,2; 6,1 | 6 |
| 8 | 2,6; 3,5; 4,4; 5,3; 6,2 | 5 |
| 9 | 3,6; 4,5; 5,4; 6,3 | 4 |
| 10 | 4,6; 5,5; 6,4 | 3 |
| 11 | 5,6; 6,5 | 2 |
| 12 | 6,6 | 1 |
The probability of anything is the number of ways that it can happen that you would consider a success divided by the number of ways it can happen total -- successes and failures.
If you add up the number of total ways that you can roll a pair of dice you get 36.
John
|
|
|
