{"meta":{"copyright":"© Odds The Law (oddsthelaw.com). Precomputed dataset; all rights reserved.","generatedAt":"2026-09-17T01:03:45.747Z","description":"Exact probability that an opening 7-tile Scrabble rack can play all seven tiles as a single word (a bingo), measured against the ENABLE lexicon. Not simulated: every one of the 3,199,724 distinct rack multisets is enumerated and weighted by its exact multivariate hypergeometric probability, with blanks expanded over every letter they could become. byTile gives P(bingo | the rack holds at least one of that tile) and the lift over the unconditional rate. A bingo rate is only meaningful against a stated word list -- see meta.lexicon.","lexicon":{"name":"ENABLE","longName":"Enhanced North American Benchmark Lexicon","note":"It is the open list most word games build on, and not an official tournament lexicon. Both official lists are larger and both are copyrighted, but not by the same margin: NWL2023 (North America) has about 14% more words than ENABLE, so its bingo rate is a little higher — the published figure for the 2014 list is 12.92%. CSW24 (Collins, used everywhere else) is larger again by roughly two thirds, so a Collins rate is meaningfully above this one rather than slightly."},"rackMultisets":3199724,"rackCombinations":16007560800,"signatureCount":19424,"enumeratedWeight":16007560800},"overallPct":12.6361,"byBlanks":[{"blanks":0,"probabilityPct":86.4242,"conditionalPct":7.5469},{"blanks":1,"probabilityPct":13.1515,"conditionalPct":43.8721},{"blanks":2,"probabilityPct":0.4242,"conditionalPct":81.0674}],"byTile":{"a":{"label":"A","conditionalPct":13.6115,"lift":1.0772,"wordSharePct":45.8299,"bingoRank":9},"b":{"label":"B","conditionalPct":9.1646,"lift":0.7253,"wordSharePct":15.0227,"bingoRank":17},"c":{"label":"C","conditionalPct":12.5762,"lift":0.9953,"wordSharePct":23.2084,"bingoRank":11},"d":{"label":"D","conditionalPct":13.5009,"lift":1.0684,"wordSharePct":25.8598,"bingoRank":10},"e":{"label":"E","conditionalPct":15.3391,"lift":1.2139,"wordSharePct":62.8707,"bingoRank":5},"f":{"label":"F","conditionalPct":6.6814,"lift":0.5288,"wordSharePct":9.7972,"bingoRank":19},"g":{"label":"G","conditionalPct":11.3713,"lift":0.8999,"wordSharePct":19.9959,"bingoRank":13},"h":{"label":"H","conditionalPct":8.997,"lift":0.712,"wordSharePct":16.8297,"bingoRank":18},"i":{"label":"I","conditionalPct":13.7449,"lift":1.0877,"wordSharePct":47.2302,"bingoRank":8},"j":{"label":"J","conditionalPct":1.9348,"lift":0.1531,"wordSharePct":2.0593,"bingoRank":26},"k":{"label":"K","conditionalPct":6.0935,"lift":0.4822,"wordSharePct":9.8435,"bingoRank":22},"l":{"label":"L","conditionalPct":15.0189,"lift":1.1886,"wordSharePct":34.3699,"bingoRank":6},"m":{"label":"M","conditionalPct":11.3088,"lift":0.895,"wordSharePct":18.5956,"bingoRank":14},"n":{"label":"N","conditionalPct":15.4235,"lift":1.2206,"wordSharePct":36.2593,"bingoRank":4},"o":{"label":"O","conditionalPct":11.7443,"lift":0.9294,"wordSharePct":35.5591,"bingoRank":12},"p":{"label":"P","conditionalPct":10.8002,"lift":0.8547,"wordSharePct":18.3433,"bingoRank":15},"q":{"label":"Q","conditionalPct":1.4779,"lift":0.117,"wordSharePct":1.4467,"bingoRank":27},"r":{"label":"R","conditionalPct":16.7026,"lift":1.3218,"wordSharePct":42.082,"bingoRank":3},"s":{"label":"S","conditionalPct":19.2002,"lift":1.5195,"wordSharePct":50.2626,"bingoRank":2},"t":{"label":"T","conditionalPct":14.9218,"lift":1.1809,"wordSharePct":32.6452,"bingoRank":7},"u":{"label":"U","conditionalPct":10.0253,"lift":0.7934,"wordSharePct":25.798,"bingoRank":16},"v":{"label":"V","conditionalPct":6.521,"lift":0.5161,"wordSharePct":6.2912,"bingoRank":20},"w":{"label":"W","conditionalPct":5.8035,"lift":0.4593,"wordSharePct":8.4071,"bingoRank":23},"x":{"label":"X","conditionalPct":2.8067,"lift":0.2221,"wordSharePct":2.4866,"bingoRank":25},"y":{"label":"Y","conditionalPct":6.258,"lift":0.4952,"wordSharePct":12.4588,"bingoRank":21},"z":{"label":"Z","conditionalPct":3.0478,"lift":0.2412,"wordSharePct":3.0581,"bingoRank":24},"?":{"label":"Blank","conditionalPct":45.0344,"lift":3.5639,"wordSharePct":null,"bingoRank":1}}}