First, you need to figure out P(A), P(B), and P(A ^ B) by looking at the figure.
You can use the calculator for finding the last two parts
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OpenStudy (daniellelovee):
P(A)=0.2
P(B)=0.1
P(A^B)=0.3
ganeshie8 (ganeshie8):
In the calculator page, do you see a dropdown menu for "Main goal" ?
OpenStudy (daniellelovee):
yes
OpenStudy (daniellelovee):
@ganeshie8
ganeshie8 (ganeshie8):
select the appropriate one
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ganeshie8 (ganeshie8):
select `Find conditional probability of B, given A`
OpenStudy (daniellelovee):
ok done
ganeshie8 (ganeshie8):
then enter the values for P(A), P(B) and P(A^B)
ganeshie8 (ganeshie8):
wait, your numbers are wrong
ganeshie8 (ganeshie8):
```
P(A)=0.2
P(B)=0.1
P(A^B)=0.3
```
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ganeshie8 (ganeshie8):
those are wrong, try again
ganeshie8 (ganeshie8):
only this is correct :
`P(A^B)=0.3`
OpenStudy (daniellelovee):
why is the other one wrong
ganeshie8 (ganeshie8):
for P(A), you must pick the entire A :
P(A) = 0.2 + 0.3 = 0.5
OpenStudy (daniellelovee):
ohh ok then same for b got it
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OpenStudy (daniellelovee):
b is 0.4
ganeshie8 (ganeshie8):
Yes
OpenStudy (daniellelovee):
alrigh now what :)
OpenStudy (venomblast):
alright I got you Daniel. Ok so
P(AnB)=P(A|B)*P(B)
NOTE:P(AnB) is also written as P(AB)
P(AnB)=P(B|A)*P(A)
P(A) is the whole circle A. (.2+.3=.5)
P(B) is the whole circle B (.1+.3=.4)
S (we call this the sample) MUST EQUAL TO 1.
We know P(AB)=.3
plug in the formula above and you should get all the unknowns.