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 to get a sum of <math>7</math> is <math>\frac16.</math>
 
  
 
~MRENTHUSIASM
 
~MRENTHUSIASM
  
 
== See Also ==
 
== See Also ==
{{AMC10 box|year=2022|ab=B|num-b=9|num-a=11}}
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{{AMC10 box|year=2022|ab=B|num-b=11|num-a=13}}
{{AMC12 box|year=2022|ab=B|num-b=6|num-a=8}}
 
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 18:05, 17 November 2022

Problem

A pair of fair $6$-sided dice is rolled $n$ times. What is the least value of $n$ such that the probability that the sum of the numbers face up on a roll equals $7$ at least once is greater than $\frac{1}{2}$?

$\textbf{(A) } 2 \qquad \textbf{(B) } 3 \qquad \textbf{(C) } 4 \qquad \textbf{(D) } 5 \qquad \textbf{(E) } 6$

Solution

~MRENTHUSIASM

See Also

2022 AMC 10B (ProblemsAnswer KeyResources)
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

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