Difference between revisions of "2014 UNCO Math Contest II Problems/Problem 7"

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== Solution ==
 
== Solution ==
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<math>\frac{112}{125}</math>
  
 
== See also ==
 
== See also ==
{{UNC Math Contest box|year=2014|n=II|num-b=6|num-a=8}}
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{{UNCO Math Contest box|year=2014|n=II|num-b=6|num-a=8}}
  
 
[[Category:Introductory Combinatorics Problems]]
 
[[Category:Introductory Combinatorics Problems]]

Latest revision as of 02:32, 13 January 2019

Problem

The Caterpillar owns five different matched pairs of socks. He keeps the ten socks jumbled in random order inside a silk sack. Dressing in the dark, he selects socks, choosing randomly without replacement. If the two socks he puts on his first pair of feet are a mismatched pair and the two socks he puts on his second pair of feet are a mismatched pair, then what is the probability that the pair he selects for his third set of feet is a mismatched pair?


Solution

$\frac{112}{125}$

See also

2014 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