{"blocks": [{"key": "b7e7a91a", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "d599f19a", "text": "Interview assessing candidate's understanding of probability distributions with a dice-configuration puzzle used by a gaming analytics team.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "00ff92b7", "text": "Question", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "938d0178", "text": "You have two fair six-sided dice. Can you relabel or configure the faces so that when both dice are rolled, the sums 1 through 12 each appear with equal probability? If yes, provide the new face labels; if no, give a rigorous proof of impossibility.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "50f17ed8", "text": "Hints", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "2e9697ab", "text": "Equal probability requires each of the 12 sums to occur exactly 3 times out of 36. Analyze face-pair counts and parity constraints.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}], "entityMap": {}}