Difference between revisions of "2018 UNCO Math Contest II Problems/Problem 7"

(Problem)
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== Solution ==
 
== Solution ==
  
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<math>\frac{7}{18}</math>
  
 
== See also ==
 
== See also ==
 
{{UNCO Math Contest box|year=2018|n=II|num-b=6|num-a=8}}
 
{{UNCO Math Contest box|year=2018|n=II|num-b=6|num-a=8}}
  
[[Category:]]
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[[Category:Intermediate Probability Problems]]

Revision as of 01:41, 14 January 2019

Problem

Let $x = 2A + 10B$ where $A$ and $B$ are randomly chosen with replacement from among the positive integers less than or equal to twelve. What is the probability that $x$ is a multiple of $12$?

Solution

$\frac{7}{18}$

See also

2018 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions