Difference between revisions of "2023 AMC 12A Problems/Problem 7"
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Revision as of 19:59, 9 November 2023
Problem
Janet rolls a standard 
-sided die 
times and keeps a running total of the numbers
she rolls. What is the probability that at some point, her running total will equal 
?
Solution 1
There are cases where her running total can equal :
1. She rolled 
for three times consecutively from the beginning. Probability: 
2. She rolled a , then 
. Probability: 
3. She rolled a , then . Probability:
4. She rolled a at the beginning. Probability: 
Add them together to get 
~d_code
See Also
| 2023 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 6 |
Followed by Problem 4 |
| 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 | |
| All AMC 12 Problems and Solutions | |
| 2023 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 4 | |
| 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 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
