If $A$ and $B$ are two mutually exclusive events, then $P\,(A + B) = $
$P\,(A) + P\,(B) - P\,(AB)$
$P\,(A) - P\,(B)$
$P\,(A) + P\,(B)$
$P\,(A) + P\,(B) + P\,(AB)$
(c) $P(A) + P(B)$ (Fundamental concept).
A party of $23$ persons take their seats at a round table. The odds against two persons sitting together are
If $A$ and $B$ are arbitrary events, then
Check whether the following probabilities $P(A)$ and $P(B)$ are consistently defined $P ( A )=0.5$, $ P ( B )=0.7$, $P ( A \cap B )=0.6$
If $E$ and $F$ are independent events such that $0 < P(E) < 1$ and $0 < P\,(F) < 1,$ then
$A$ and $B$ are two events such that $P(A)=0.54$, $P(B)=0.69$ and $P(A \cap B)=0.35.$ Find $P \left( B \cap A ^{\prime}\right)$.
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