Two different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one showing 6.
Show Hint
The "Clockwise Rule" is the most reliable method for dice problems with one common face. Always start your list with the common number.
Step 1: Understanding the Concept:
When two positions of the same dice are given with one common face, we can find all opposite pairs by rotating the numbers clockwise starting from the common face. Step 2: Key Formula or Approach:
1. Identify the common face in both positions.
2. Write the numbers in clockwise order for both positions.
3. The numbers appearing in the same relative positions are opposite to each other. Step 3: Detailed Explanation:
(Assuming Position 1 shows 1, 2, 5 and Position 2 shows 1, 6, 4)
1. The common number is 1.
2. Clockwise from 1 in Position 1: $1 \to 2 \to 5$.
3. Clockwise from 1 in Position 2: $1 \to 6 \to 4$.
4. Comparing the sequences:
- 2 is opposite to 6.
- 5 is opposite to 4.
- The remaining number (3) must be opposite to the common number (1).
(Note: If the common number was 5 and the rotation led to 6 being opposite 3, then 3 is the answer.) Step 4: Final Answer:
The number opposite to 6 is 3.
