contestada

The values of events A, B, and C are provided. Compare the probabilityof event A occurring, given that event C occurred to the probability ofEvent B happening, given that event C occurred (Compare P(A/C) toP(BIC)] Which event is more likely?P(A) = 0.45P(B) = 0.30P(C) = 0.25

Respuesta :

The conditional probability P(A/C) is given by

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

If event A is independent to event C, we can write

[tex]P(A|C)=\frac{P(A)\cdot P(C)}{P(C)}=P(A)[/tex]

Similary, if event B is independent to event C, we get

[tex]P(B|C)=\frac{P(B)\cdot P(C)}{P(C)}=P(B)[/tex]

Then, by comparing both results we can see that event A is more likey than event B.

Otras preguntas