tellerbailey tellerbailey
  • 11-12-2019
  • Mathematics
contestada

Let A and B be events with P(A) = 0.74 , P(B) = 0.59 , and P(B | A) = 0.50 . Find P(A and B).

Respuesta :

ranikashyab066 ranikashyab066
  • 23-12-2019

Answer:

P(A and B)  = 0.37

Step-by-step explanation:

Here, P(B) = 0.59

P(A)  = 0.74

P(B  I  A)  = 0.50

Now, if A and B are defined  two INDEPENDENT EVENTS, then:

[tex]P(B/A)  = \frac{P(A and B)}{P(A)} \\\implies 0.50  = \frac{P(A and B)}{0.74} \\\implies P(A and B)  = (0.50) \times (0.74)   = 0.37[/tex]

So, P(A and B)  = 0.37

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