Mathematics: The probability that Natasha wins in a raffle is given by the expression p . Write down an expression for the probability that Natasha does not win. P(not win) =

The probability that Natasha wins in a raffle is

Ответ:

cecelia090

24.02.2021

1 - p

Step-by-step explanation:

Consider the $(\Omega, \mathcal{F}, \mathbb{P})$ where $\mathcal{F}$ is sigma algebra and $\mathbb{P}$ is probabilistic measure. Denote $A \subset \Omega$ where Paul wins. By additivity of measure we know that

$\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1$ .

$\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p$ .

But $\Omega \setminus A$ is exactly the set where Paul does not win. Q.E.D.

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The probability that Natasha wins in a raffle is given by the expression p
.
Write down an expression for the probability that Natasha does not win.
P(not win)
=

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