Scrabble, what are the odds?

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there

6 t's
6 r's
9 a's
9 i's
6 n's
, twelve e's

in game of scrabble.

thus, odds of exact combination appearing in exact order 6/100 x 6/99 x 9/98 x 9/97 x 6/96 x 12/95 x 11/94

that's 2,309,472 / 80,678,106,432,000

reduces 1 chance in 34,933,572

thus, odds 34,933,571 1 against happening.

i have logged pc scrabble game, , selected me letters forming 7 letter word trainee, laid out in correct order. odds of happening?


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