Domino

The excluded domino is number 0 and 0

After cataloging all 27 dominoes in the image and comparing them against the full double-six set, the [6, 0] (blank-six) domino is the only one not present. All other possible combinations including doubles and blanks are accounted for.

After systematically examining all 27 dominoes in the image and checking them against a complete double-six set (28 tiles total), the domino [4, 4] is missing. All other dominoes representing pairs from [0,0] through [6,6] are present, with [4, 4] being the only absent tile.

I systematically catalogued all visible dominoes in the image. A standard double-six set has 28 tiles. After identifying all 27 visible tiles and checking which combination from 0-0 through 6-6 is missing, the domino [0,2] (blank-two) is not present in the image.

After identifying and listing each visible domino tile and comparing to the full double-six set (all unordered pairs 0–6), every pair appears except the 4–6 tile, so the missing domino is [4,6].

After analyzing the image and counting the occurrences of each number across all 27 dominoes shown, numbers 0, 1, 2, 4, and 6 each appear 8 times, while 3 and 5 each appear 7 times. This indicates that the missing domino from the standard double-six set is the [3-5] tile.

I analyzed all 27 dominoes in the image and identified them as: [0,0], [0,1], [0,2], [0,3], [0,4], [0,5], [1,1], [1,2], [1,3], [1,4], [1,5], [1,6], [2,2], [2,3], [2,4], [2,5], [2,6], [3,3], [3,4], [3,5], [3,6], [4,4], [4,5], [4,6], [5,5], [5,6], and [0,6]. The standard double-six set should contain 28 dominoes. The only domino not present in this set is the double-six [6,6]. All dominoes containing a single 6 are present, confirming that [6,6] is the missing tile.