AMC 10 Daily Practice Round 3

Complete problem set with solutions and individual problem pages

Problem 4 Easy

Ponce rolls a four-sided die (from 1 to 4), a six-sided die (from 1 to 6), and an eight-sided die (from 1 to 8), all of which are perfectly fair. What is the probability that all three dice show the same number?

  • A.

    \frac{1}{24}

  • B.

    \frac{1}{32}

  • C.

    \frac{1}{36}

  • D.

    \frac{1}{48}

  • E.

    \frac{1}{64}

Answer:D

The result of the 4-sided die does not matter. To match with the next two tosses, we have the probability be \frac 16 \times \frac 18=\frac{1}{48}.

Related Problems
Problem 2 AMC 10 Daily Practice Round 3
Problem 3 AMC 10 Daily Practice Round 3
Problem 5 AMC 10 Daily Practice Round 3
Problem 6 AMC 10 Daily Practice Round 3
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