2006 AMC 12B Problems/Problem 17
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Problem
For a particular peculiar pair of dice, the probabilities of rolling 
, 
, 
, 
, 
and 
on each die are in the ratio 
. What is the probability of rolling a total of 
on the two dice?
Solution
The probability of getting an 
on one of these dice is 
.
The probability of getting on the first and on the second die is 
. Similarly we can express the probabilities for the other five ways how we can get a total . (Note that we only need the first three, the other three are symmetric.)
Summing these, the probability of getting a total is:
See also
| 2006 AMC 12B (Problems • Resources) | ||
| Preceded by Problem 16 | Followed by Problem 18 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
