2006 AMC 12B Problems/Problem 17
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 2016 AIME I Problems/Problem 2
See also
2006 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 16 |
Followed by Problem 18 |
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