Z1 · 2026-10-21
Z1: One Colour Fixed the Other Three Positions
Solve a two-by-two card-colour layout using row and column conditions. The deduction fixes colours, not the hidden ranks or suits.
Four face-down cards occupy a two-by-two grid. The exercise guarantees one red card and one black card in each row and each column. The top-left card is revealed as red. Before opening anything else, the learner can deduce the colour of every remaining position.
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Follow one constraint at a time
Top-right must be black because the top row needs one of each colour. Bottom-left must also be black because the left column already contains its red card. Each conclusion comes from a particular row or column, not from guessing a decorative pattern.
Bottom-right must now be red. That satisfies the bottom row and the right column simultaneously. Read all four conditions back: the rows are red-black and black-red; the columns have the same two combinations. This final pass checks that a local deduction has not created a conflict elsewhere.
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Know what remains unknown
A red position might hold a heart or a diamond, with various ranks possible. The colour condition does not identify the exact card. The learner records “red” rather than inventing a queen or another memorable face card to complete the picture.
They open the cards to check the prepared exercise. If a row contains two red cards, the supplied layout failed its promise; the earlier deduction was conditional on that promise. The review should inspect the setup instead of teaching the learner to distrust a valid step of reasoning.
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