AMC 8 Daily Practice Round 1

Complete problem set with solutions and individual problem pages

Problem 17 Medium

There are two dice, one large and one small. Each die has six faces numbered from 1 to 6. When the two dice are thrown simultaneously, what is the probability that the product of the two numbers is 12?

  • A.

    \frac{5}{36}

  • B.

    \frac{1}{9}

  • C.

    \frac{1}{18}

  • D.

    \frac{5}{18}

  • E.

    \frac{2}{9}

Answer:B

List all possibilities:

 

1

2

3

4

5

6

1

1

2

3

4

5

6

2

2

4

6

8

10

12

3

3

6

9

12

15

18

4

4

8

12

16

20

24

5

5

10

15

20

25

30

6

6

12

18

24

30

36

The probability that the product of the two numbers is 12 is \frac{4}{36} = \frac{1}{9}.

Therefore, the answer is \frac{1}{9}.

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