• bloodfoot@programming.dev
    link
    fedilink
    English
    arrow-up
    6
    ·
    1 year ago

    Not to be too pedantic but your back of the envelope probabilities are based on inaccurate assumptions and probably several orders of magnitude off. Specifically, your not just assuming uniform but also independent from one day to the next. A more accurate treatment would be to assume conditional dependence from one day to the next (the Markov property). Once you have a record hot day, you are significantly more likely to have another record hot day following it.

    That said, it’s still low probability, just not as low as what you’re saying.

      • bloodfoot@programming.dev
        link
        fedilink
        English
        arrow-up
        3
        ·
        1 year ago

        If we stick with your 1/44 assumption, we can then assume 50% chance that the following day will also be a record setting day (probably too low still but the math is easier). Your one week estimate would be (1/44)*(1/2)^6.