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14.Probability
easy
જો $P(A) = \frac{1}{2},\,\,P(B) = \frac{1}{3}\,$ અને$P(A \cap B) = \frac{7}{{12}},$ , તો તેની કિમત $P\,(A' \cap B') = ........$
A
$\frac{7}{{12}}$
B
$\frac{3}{4}$
C
$\frac{1}{4}$
D
$\frac{1}{6}$
Solution
$\begin{gathered}
P(A' \cap B') = 1 – P(A \cup B)\, \hfill \\
\, = 1 – \left( {\frac{1}{2} + \frac{1}{3} – \frac{7}{{12}}} \right) = 1 – \frac{1}{4} = \frac{3}{4} \hfill \\
\end{gathered} $
Standard 11
Mathematics