juli715
contestada

*HELP ME PLEASE!*

Events A and B are dependent.
P(A) = 5/12 and
P(B given A) = 6/11.
Find P(A and B)

Respuesta :

twvogels
Conditional probabilities relate events where one event depends on the other. 

The formula for these types of events is:

[tex]P(BgivenA)=\frac{P(AandB)}{P(A)}[/tex]

or, written another way:
[tex]P(B|A)=P(A&B)/P(A)[/tex]

Using the known values:
[tex]\frac{6}{11}=P(A&B)/\frac{5}{12}[/tex]
[tex]P(A&B)=\frac{6}{11}\times\frac{5}{12}[/tex]
[tex]P(A&B)=\frac{30}{132}[/tex]
In classical probability P( A and B ) is simply P( A x B)..that is the "AND" rule.
here we are dealing with bayesian probability. I'm not an expert in bayesian probability.