A) \[\frac{9}{64}\]
B) \[\frac{1}{64}\]
C) \[\frac{1}{16}\]
D) \[\frac{9}{16}\]
Correct Answer: D
Solution :
Probability of getting a spade, \[=\frac{^{13}{{C}_{1}}}{^{52}{{C}_{1}}}=\frac{13}{52}=\frac{1}{4}\] Probability of not getting a spade \[=1-\frac{1}{4}=\frac{3}{4}\] Hence, required probability \[=\left( \frac{3}{4} \right)\left( \frac{3}{4} \right)=\frac{9}{16}\]
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