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Pulsified333
 one year ago
about events A and B of a sample space S, but assume that Pr[A′]=0.3, Pr[B]=0.5, and Pr[A′∩B]=0.2.
Find the probabilities of the following events:
(1) Pr[A∩B]=
(2) Pr[A∪B]=
(1) Pr[A′∪B]=
Pulsified333
 one year ago
about events A and B of a sample space S, but assume that Pr[A′]=0.3, Pr[B]=0.5, and Pr[A′∩B]=0.2. Find the probabilities of the following events: (1) Pr[A∩B]= (2) Pr[A∪B]= (1) Pr[A′∪B]=

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442540376873:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know where \(A'\cap B\) is in the picture ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0shade it in not B, but \(A'\cap B\)

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0then what is A′∩B

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the stuff in B that is not in A

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442540600013:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0got it now lets put a \(0.2\) there dw:1442540629245:dw

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0so that mean A U B is .3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what you really mean is \[P(A\cap B)=0.3\] and the answer is yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442540747197:dw

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0then how does A' is .3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the .2 is in \(A'\) cause it is not in A also the stuff outside of both in in A' you used up .2 in B, that leaves only .1 outside

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442540852342:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now all that is left to do is figure out what goes in \(A\cap B'\) the missing part all this has to add up to 1, so make sure it does

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442540918987:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now you can figure out any probability you like from the picture, so long as you know what the set is
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