AMC 10 Step by Step
Log inSign up
Printable

2009 AMC 10A Problem 24

Include the solutionBack to the problem
2009 AMC 10A Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 4 of 5 · about 4 min · position P21-25

Three distinct vertices of a cube are chosen at random. What is the probability that the plane determined by these three vertices contains points inside the cube?

  1. A)

    14\frac{1}{4}

  2. B)

    38\frac{3}{8}

  3. C)

    47\frac{4}{7}

  4. D)

    57\frac{5}{7}

  5. E)

    34\frac{3}{4}

Working