If Pr[C] = 0.52, Pr[D] = 0.52, and Pr[CuD] = 0.82. What is Pr[C|D] and Pr[D|C] ?

Question

amistre64 · Answer

well, we should have enough to calculate Pr[CnD] for the given parts

amistre64 · Answer

do you recall any formulas that may help us?

amistre64 · Answer

recall that P(A|B) is asking for the amount of A that is a part of B

|dw:1412459276396:dw|

so its just the amount associated with AnB comapred to B

anonymous · Answer

I just don't know how to get Pr[CnD] and that's what I need to solve the equation @am

amistre64 · Answer

well, would you agree that P(AuB) would amount to the whole venn diagram?

if so,  then if we do P(A) + P(B)  we have actually doubled some values ... the AnB part

|dw:1412459478903:dw|

A = (1+2),  B=(2+3)

A+B = 1+2+2+3 
               ----
                 we need to subtract the overlap (AnB)