The probability of the emptyset is 0 [P(emptyset)=0]

Поділитися
Вставка
  • Опубліковано 13 гру 2024

КОМЕНТАРІ • 5

  • @user-cg7gd5pw5b
    @user-cg7gd5pw5b 15 днів тому

    P is a measure, measures are stable by complementarity, and by definition of a tribe and of a probability measure, P(omega)=1, therefore P(Null)=P(omega^c)=P(omega\omega)=P(omega)-P(omega)=0

  • @015Fede
    @015Fede 17 днів тому +2

    So the probability that nothing happens is null?

  • @da_packster8390
    @da_packster8390 17 днів тому +1

    So this means that something always happens?

    • @user-cg7gd5pw5b
      @user-cg7gd5pw5b 15 днів тому

      No, it means that there's always an outcome. That outcome can be 'nothing happens', but there is a result to the experiment (which can be anything like a coin toss or the survival of Schrödinger's cat).
      For example, if your experiment was "Will I suddenly be hit by an asteroid in the next five seconds", the probability of the event 'Nothing happens' is close to 1.