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I am absolutely new to MI (and just really bad at it too!) and was wondering if someone could explain to me how to resolve this question. "Say word A occurs once per 1'000 words (i.e, Freq. (A)=0,001) and word be once per 100'000 words. They co-occur once per 2'000'000 words. Compute their MI."

The MI formula I have been given is this one :

screenshot of formula

I believe I have understood how to place the numbers in my calculation, but I have not understood where the '2'000'000 words' appear in it.

Thanks in advance for your help, I'm very much lost!

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  • $\begingroup$ It seems that you have three numbers and three slots. The pigeonhole principle might tell you where the 2'000'000 belongs. $\endgroup$
    – Arya McCarthy
    Commented May 1, 2021 at 23:31
  • $\begingroup$ Thank you very much!! $\endgroup$
    – Ella
    Commented May 3, 2021 at 4:56
  • $\begingroup$ Hi Ella, if you found this answer helpful, then please consider upvoting and/or accepting it. $\endgroup$
    – Arya McCarthy
    Commented May 18, 2021 at 4:56

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Converting my comment into an answer:

It seems that you have three numbers and three slots. The pigeonhole principle might tell you where the 2'000'000 belongs.

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