Two different positions of the same die are shown below. What is the number on the face opposite to the one having 2?
The solution to this question involves understanding the spatial relationships between the faces of a die. A standard die has opposite faces that add up to 7 (1+6, 2+5, 3+4).
The image shows two positions of the die:
In the first position, we see the numbers 2, 3, and 6. In the second position, we see the numbers 3, 4, and 5. By comparing the two positions, we notice that the number 3 is common to both. Observe that the number 3 remains in the same position (the middle face is stationary).
Since opposite faces sum to 7, and we are looking for the opposite face of the number 2, the answer is 7 - 2 = 5.
Therefore, the number on the face opposite to the one having 2 is 5.
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