Difference between revisions of "2022 AMC 12B Problems/Problem 12"

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==Problem==
 
A pair of fair 6-sided dice is rolled <math>n</math> times. What is the least value of <math>n</math> such that the probability that the sum of the numbers face up on a roll equals <math>7</math> at least once is greater than <math>\tfrac{1}{2}</math>?
 
  
<math>\textbf{(A)}\ 2 \qquad\textbf{(B)}\ 3 \qquad\textbf{(C)}\ 4 \qquad\textbf{(D)}\ 5 \qquad\textbf{(E)}\ 6</math>
 

Revision as of 19:56, 17 November 2022