For any events A and B, $$P ( A \mid B ) + P \left( A ^ { c } \mid B \right) = 1$$ , meaning given that B occurs either A occurs or A does not occur.

Name: For any events A and B, \[P ( A \mid B ) + P \left( A ^ { c } \mid B \right) = 1\] , meaning given that B occurs either A occurs or A does not occur.
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Question

Quizplus · Accepted Answer

The sum of the probabilities of complementary events given the same condition is always 1, as either the event or its complement must occur.

For Any Events a and B P(A∣B)+P(Ac∣B)=1P ( A \mid B ) + P \left( A ^ { c } \mid B \right) = 1P(A∣B)+P(Ac∣B)=1

For Any Events a and B $P ( A \mid B ) + P \left( A ^ { c } \mid B \right) = 1$