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2009 AMC 10B Problem 25

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2009 AMC 10B Problem 25AMC 10 Step by Step

Name: Date: September 13, 2026

Basic Probability · difficulty 4 of 5 · about 6 min · position P21-25

Each face of a cube is given a single narrow stripe painted from the center of one edge to the center of the opposite edge. The choice of the edge pairing is made at random and independently for each face. What is the probability that there is a continuous stripe encircling the cube?

A)
$\frac 18$
B)
$\frac {3}{16}$
C)
$\frac 14$
D)
$\frac 38$
E)
$\frac 12$

2009 AMC 10B Problem 25

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