Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2014 UNCO Math Contest II Problems/Problem 7

Revision as of 15:48, 19 October 2014 by Timneh (talk | contribs) (Created page with "== 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 soc...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

See also

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2014_UNCO_Math_Contest_II_Problems/Problem_7&oldid=65027"