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Event B is dependent on event A, and event A occurs before event B. Which expression is equal to the probability of event A?

Respuesta :

kudzordzifrancis

Answer:

[tex]P(A)=\frac{P(B\cap \: A)}{P(B|A)}[/tex]

Step-by-step explanation:

Since event B is dependent on event A,

[tex]P(B\cap\: A)\ne P(B) \times P(A)[/tex]

We also have the condition that, event A occurs before event B.

So probability of B given A is

[tex]P(B|A)=\frac{P(B\cap \: A)}{P(A)}[/tex]

We now solve for P(A) to get:

[tex]P(A)=\frac{P(B\cap \: A)}{P(B|A)}[/tex]

ashishdwivedilVT

The expression which is equal to the probability of event A P(A) = P(B∩A) / P(B|A).

What is Probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

Here, event is dependent on event A

P(B∩A) ≠ P(A) X P(B)

We also have the condition that, event A occurs before event B.

So probability of B given A is

P(B|A) = P(B∩A) / P(A)

P(B∩A) = P(B|A)  X P(A)

P(A) = P(B∩A) / P(B|A)

Thus, the expression which is equal to the probability of event A P(A) = P(B∩A) / P(B|A).

Learn more about Probability from:

https://brainly.com/question/11234923

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