Two cards are drawn from a well shuffled deck of $52$ playing cards with replacement. The probability that both cards are queen is
A$\frac{1}{13}\times\frac{1}{13}$
B$\frac{1}{13}+\frac{1}{13}$
C$\frac{1}{13}\times\frac{1}{17}$
D$\frac{1}{13}\times\frac{4}{5}$
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A$\frac{1}{13}\times\frac{1}{13}$
Two cards are drawn from $52$ cards.
Let, $E_1$ be the event that getting queen in first draw and $E_2$ be the event that getting queen in second draw,
$\text{P}(\text{E}_1\cap\text{E}_2)=\frac{4}{52}\times\frac{4}{52}=\frac{1}{13}\times\frac{1}{13}$
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