Difference between revisions of "2022 AMC 10B Problems/Problem 12"
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==Solution== | ==Solution== | ||
| + | Rolling a pair of fair <math>6</math>-sided dice, the probability of getting a sum of <math>7</math> is <math>\frac16:</math> Regardless what the first die shows, the second die has exactly one possibility to make the sum <math>7.</math> | ||
~MRENTHUSIASM | ~MRENTHUSIASM | ||
Revision as of 19:09, 17 November 2022
Problem
A pair of fair 
-sided dice is rolled 
times. What is the least value of such that the probability that the sum of the numbers face up on a roll equals 
at least once is greater than 
?
Solution
Rolling a pair of fair -sided dice, the probability of getting a sum of is 
Regardless what the first die shows, the second die has exactly one possibility to make the sum 
~MRENTHUSIASM
See Also
| 2022 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 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. 
