Problem 9 · 2019 Math Kangaroo
Medium
Spatial & Visual Reasoning
dice-facesspatial-reasoning
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Answer: C
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Hint 1 of 2
Probabilities 1/2, 1/3, 1/6 for faces 1,2,3 over six faces mean three 1s, two 2s and one 3.
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Hint 2 of 2
A cube shows three mutually adjacent faces at once; find the picture whose visible faces cannot come from 1,1,1,2,2,3 on a valid die.
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Approach: the face counts are three 1s, two 2s, one 3
- Probabilities 1/2, 1/3, 1/6 over 6 faces mean the faces are 1,1,1,2,2,3.
- Each picture shows three mutually adjacent faces; check consistency with that multiset on a real cube.
- One picture requires more of a value than exists (or an impossible adjacency), and that picture is (C).
- Answer (C).
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