I have to prove the following -:
For any two events A and B, show that $$(P(A∩B))^2 +(P(A∩B'))^2 +(P(A' ∩B))^2 +(P(A' ∩B'))^2 ≥ 1/4$$
$X' := X^C$
2026-04-01 18:49:32.1775069372
Minimum value of probability of events
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Hint: $$P(A\cap B)+P(A\cap B^C)+P(A^C \cap B)+P(A^C \cap B^C)=1$$
What combination of these minimizes the sum?