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I saw in another thread: Is using 7-8 random words from all words of a language as password a good idea?

These calculations:

If we assume that English has 171,476 words. Then with 8 words the entropy is:

$$P(171476,8) \approx 7.474 \times 10^{41} \approx 2^{140}$$

Therefore you will have lower entropy than Bip-39, again. And with 7 words:

$$P(171476,7)≈4.358×10^{36}≈2^{122}$$

I like to use this calculation method myself. I have the following related questions:

  1. What is the name of this mathematical formula called $P(x,y)$?

  2. Any online calculator available? Or even better, a formula for MS Excel or python?

  3. Is this method commonly used to calculate entropy? If not please hint me to a more widely used formula.

Maarten Bodewes
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johnsmiththelird
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