Wordle: Adjust expected_wins for bin size #121
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Let
M = 2315
(total number of possible answers) andn = the size of bin for pattern n
.In the original version
But, by Total Probability, I believe the formula should be:
The result is counter-intuitive to me, but the probability of a guess in 2 only depends on the number of (non-empty) bins/partitions that are created from a guess.
Credit to @fitzme for help verifying the math.