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Mathematics 24 Online
OpenStudy (anonymous):

Given here is a Venn Diagram with probabilities of sets listed. You are to complete the table below.

OpenStudy (anonymous):

OpenStudy (anonymous):

start with the very middle, put in \(.07\)

OpenStudy (anonymous):

|dw:1445394335449:dw|

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

that is \[P(A\cap B\cap C)\] then we can fill in the other intersections

OpenStudy (anonymous):

since \(P(A\cap B)=.14\) and we have used up \(.07\) of that, that leaves \(.14-.07=.07\) in the rest of the intersection |dw:1445394494842:dw|

OpenStudy (anonymous):

similarly \(PB\cap C=.37\) and we have used up \(.07\) in the very middle that leaves \(.37-.07=.3\) for the rest |dw:1445394581861:dw|

OpenStudy (anonymous):

continue along in the same way, filling the outer parts as you go

OpenStudy (anonymous):

|dw:1445394675722:dw|

OpenStudy (anonymous):

you want me to check it?

OpenStudy (anonymous):

the \(.94\) cannot be right

OpenStudy (anonymous):

actually i think maybe none of it is right

OpenStudy (anonymous):

\[P(A\cap C)=.2\] and you have used up \(.07\) of it so that only leaves \(.2-.07=.13\)

OpenStudy (anonymous):

|dw:1445395017376:dw|

OpenStudy (anonymous):

|dw:1445395029591:dw|

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