
Originally Posted by
Ringel
(Ooops, not for me)
Anyway the rest of the inclusion-exclusion calculations are this: P() stands for probability
P(KPAJR) = 1 - P(nK) - P(nP) - P(nA) - P(nJ) - P(nR)
+P(nK,nP) + P(nK,nA)+P(nK,nJ)+P(nK,nR)+P(nP,nA)+P(nP,nJ)+P(nP, nR)+P(nA,nJ)+P(nA,nR)+P(nJ,nR)
-P(nK,nP,nA) - P(nK,nP,nJ) - P(nK,nP,nR) - P(nK,nA,nJ) - P(nK,nA,nR) - P(nK,nJ,nR) - P(nP,nA,nJ) - P(nP,nA,nR) - P(nP,nJ,nR) - P(nA,nJ,nR)
+P(nK,nP,nA,nJ) + P(nK,nP,nA,nR) + P(nK,nP,nR,nJ)+P(nK,nA,nR,nJ)+P(nP,nA,nR,nJ)
-P(nK,nP,nA,nJ,nR)
I'm afraid there is no easier way to get an exact answer.
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