Two different positions of the same dice are shown, the six face of which are numbered from 1 to 6. Select the number that will be on the top if the dice is resting on '6'.
Show Hint
In dice problems, "opposite," "top vs bottom," and "front vs back" all refer to the same mathematical pairing of faces.
Step 1: Understanding the Concept:
"Resting on 6" means that 6 is at the bottom. The number "on the top" refers to the face exactly opposite to 6. Step 2: Key Formula or Approach:
Use the Clockwise Rule or the Two-Face Common Rule depending on the visual commonality. Step 3: Detailed Explanation:
(Assuming Position 1: 1, 5, 6 and Position 2: 1, 5, 4)
1. Identify common faces: Both positions show numbers 1 and 5.
2. Apply the Two-Face Common Rule: When two faces are identical, the remaining third faces are opposites.
3. In Position 1, the remaining face is 6.
4. In Position 2, the remaining face is 4.
5. Therefore, 6 is opposite to 4. Step 4: Final Answer:
If the dice is resting on 6, then 4 will be on top.
