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Mathematics 21 Online
OpenStudy (pulsified333):

involving sets E and F. Suppose for this problem that Pr[E]=17/24 and Pr[F]=13/24. Just as in the book, Pr[(E∪F)′]=0. (1) What is Pr[E|F]? (2) What is Pr[F|E]?

OpenStudy (pulsified333):

@dan815

OpenStudy (anonymous):

\[P(E\cup F)'=0\] means everything is either in E or F or both nothing is outside the total therefore in E and F is 1

OpenStudy (pulsified333):

so how do i find the intersection of E and F

OpenStudy (pulsified333):

@satellite73

OpenStudy (zarkon):

\[P(E\cup F)=P(E)+P(F)-P(E\cap F)\]

OpenStudy (pulsified333):

so is the Union of E and F 30?

OpenStudy (pulsified333):

i still do not get how to find the intersection

OpenStudy (zarkon):

solve the equation I wrote above...then plug in numbers

OpenStudy (anonymous):

where does the 30 come from?

OpenStudy (anonymous):

oh nvm i see, it is the numerator \[\frac{30}{24}\] which is of course the probability of nothing, since it is larger than one what needs to be subtracted?

OpenStudy (pulsified333):

right

OpenStudy (pulsified333):

im still confused on how to do this

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