JessicaWhitlo
contestada

Given the following probabilities, for what P(B) are events A and B independent?
P(A)=1/2 P(A and B)=1/6
1/4
1/8
3/4
1/3

EDIT: Nevermind, I figured it out, to those who want to know the answer is it's 1/3 :)

Given the following probabilities for what PB are events A and B independent PA12 PA and B16 1418 34 13EDIT Nevermind I figured it out to those who want to know class=

Respuesta :

JeanaShupp

Answer: the value of P(B) = [tex]\dfrac{1}{3}[/tex] .

Step-by-step explanation:

If A and B are two independent events, then P(A and B)=P(A) x P(B)  (i)

Given the following probabilities : [tex]P(A)=\dfrac{1}{2},\ \ P(\text{A and B})=\dfrac{1}{6}[/tex]

To find : [tex]P(B)[/tex] such that events A and B are independent

Put all values in (i), we get

[tex]\dfrac{1}{6}=\dfrac{1}{2}\times P(B)\\\\\Rightarrow\ P(B)=\dfrac{2}{6}\\\\\Rightarrow\ P(B)=\dfrac{1}{3}[/tex]

Hence, the value of P(B) = [tex]\dfrac{1}{3}[/tex] .

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