<p>Each face of a <a href="https://artofproblemsolving.com/wiki/index.php/Cube" title="Cube">cube</a> is painted either red or blue, each with probability <img alt="$1/2$" height="18" src="https://latex.artofproblemsolving.com/1/f/3/1f3cc0ad966b3e637cd199607cbf0d1befc0e491.png" width="26" />. The color of each face is determined independently. What is the probability that the painted cube can be placed on a horizontal surface so that the four vertical faces are all the same color?</p>

Question No: 261

Each face of a cube is painted either red or blue, each with probability $1/2$ . The color of each face is determined independently. What is the probability that the painted cube can be placed on a horizontal surface so that the four vertical faces are all the same color?

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Tags: Algebra

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