Question

Sophia throws three dice on a table. Their top faces show the numbers:

Find the sum of the numbers appearing on the bottom faces of all the dice in the same position.

• A. 10
• B. 12
• C. 11
• D. 9

Answer 1

The correct option is A 10

The top faces of the three dice show 2, 4, and 5.
So, the sum of the numbers on the top faces = 2 + 4 + 5 = 11

We know that the sum of the numbers on the opposite faces of a fair die is 7.

So, when 2 appears on the top, the number at the bottom face
= 7 – 2 = 5

Similarly, for 4 on the top face, 7 – 4 = 3 will appear on the opposite face.

For 5 on the top face, 7 – 5 = 2 will appear on the opposite face.

So, the sum of the numbers on the bottom faces of the three dice
= 5 + 3 + 2 = 10