AMC 8 Daily Practice Round 1

Complete problem set with solutions and individual problem pages

Problem 27 Medium

Box A contains 3 white ping-pong balls numbered 1, 2, 3. Box B contains 3 yellow ping-pong balls numbered 4, 5, 6. One ball is randomly drawn from each box. What is probability that the sum of the two numbers is greater than 6?

  • A.

    \frac{1}{4}

  • B.

    \frac{1}{2}

  • C.

    \frac{2}{3}

  • D.

    \frac{3}{4}

  • E.

    \frac{1}{3}

Answer:C

The possible sums of the numbers are: 1+4=5,\; 1+5=6,\; 1+6=7,\; 2+4=6,\; 2+5=7,\; 2+6=8,\; 3+4=7,\; 3+5=8,\; 3+6=9.

The probability that the sum is greater than 6 is \frac{6}{9} = \frac{2}{3}.

Therefore, the answer is \frac{2}{3}.

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