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Dice Modes 034Ed7

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1. **State the problem:** We are given nine dice values arranged in a 3x3 grid: Top row: 6, 4, 1 Middle row: 1, 5, 6 Bottom row: 3, 2, 3 We need to find the two modal values, i.e., the two numbers that appear most frequently. 2. **List all values:** $$6, 4, 1, 1, 5, 6, 3, 2, 3$$ 3. **Count the frequency of each value:** - 1 appears 2 times - 2 appears 1 time - 3 appears 2 times - 4 appears 1 time - 5 appears 1 time - 6 appears 2 times 4. **Identify the modes:** The values 1, 3, and 6 each appear 2 times, which is the highest frequency. 5. **Select the two modal values:** Since the problem asks for two modal values, and there are three tied, we select the two smallest modal values for clarity: 1 and 3. **Final answer:** The two modal values are **1** and **3**.