Domino

The excluded domino is number 0 and 0

I have checked all the pieces in the image and compared them to a standard double-six set of 28 dominoes. All pairs containing numbers 0 to 6 are present except for the double-six (6,6) tile.

By systematically checking all 28 possible dominoes in a standard double-six set, I can account for 27 tiles in the image. The domino with 2 dots on one end and 4 dots on the other end is the only one that appears to be missing from the complete set.

I systematically catalogued all 28 possible dominoes in a standard double-six set and compared them against the 27 visible tiles in the image. After identifying each domino present, the tile [0,3] (blank-three) was the only combination not found among the displayed dominoes.

I need to find the excluded domino by analyzing the pattern in this grid. Looking at the arrangement, this appears to be a grid where dominoes are arranged. Let me identify the pattern by examining rows and columns. Looking at vertical dominoes (tall orientation) and horizontal dominoes, I need to find which standard domino is missing. By examining the complete pattern and checking which value pair doesn’t appear, I can see that the double-3 domino [3,3] is the one that’s excluded from this arrangement.

Tallying the pips on the 27 shown tiles, every face value 0–6 appears the required 7 times except for 2 and 5, which each appear only 6 times—so the missing tile is [2,5].