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

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

Revision as of 00:31, 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

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

[[Category:]]