SurayahL135114 SurayahL135114
  • 29-10-2022
  • Mathematics
contestada

According to the general equation for conditional probability, if P(A|B)= 3/7and P(B) = 8/7 what is P(A|B)?

Respuesta :

BradonM615753 BradonM615753
  • 29-10-2022

Solution

For this case we have the following probabilities:

P(A|B) = 3/7 and P(B)= 8/7

We can use the following definition from the Bayes theorem

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

P(A ∩ B)= P(A|B)* P(B)= 3/7 * 8/7 = 24/49

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