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

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Snell Bros. Math

Snell Bros. Math

Күн бұрын

Пікірлер: 5
@user-cg7gd5pw5b
@user-cg7gd5pw5b 26 күн бұрын
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 28 күн бұрын
So the probability that nothing happens is null?
@snellbrosmath
@snellbrosmath 28 күн бұрын
Exactly!
@da_packster8390
@da_packster8390 28 күн бұрын
So this means that something always happens?
@user-cg7gd5pw5b
@user-cg7gd5pw5b 26 күн бұрын
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.
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