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Applied Bayes' Theorem: Calculating the probability that she's over me. Could somebody check my work? TT_TT

-9 abcd_z 19 July 2013 02:59AM

Solve for:  The probability that she's over me given that she didn't answer my call.

Estimated probabilities:
The probability that she'd miss my call given that she was over me: 90%
The probability that she's over me: 30%
The probability that she'd miss my call given she was not over me. 10%

(P(over me|missed call)= P(missed call|over me)*P(over me))  /  (P(missed call|over me)*P(over me)+P(Missed call|Not over me)*P(Not over me))

P(O|M)=(P(M|O)*P(O))/(P(M|O)*P(O)+P(M|N)*P(N))

P(O|M)=(.9*.3)/((.9*.3)+(.1*.7))

P(O|M)=(.27)/(.27)+(.07)) = .27/.34 = .794

Probability that she's over me given that she didn't answer the phone: 79.4%

TT_TT

 

EDIT: Something I've noticed here is that people are pointing to the chosen priors and saying that they seem unrealistic.

In our 3-year relationship, she almost never missed my calls, or if she did she would contact me back as soon as she realized that she missed my call.  In the current situation, she did no such thing.

EDIT2: Yes, we broke up.  Sorry I didn't make that clear.