Question

Two cards are drawn successively with replacement from a well shuffled deck of 52 cards. The probability of drawing two aces is

• A. $\frac{1}{13}\times \frac{1}{13}$
• B. $\frac{1}{13}\times \frac{1}{17}$
• C. $\frac{1}{52}\times \frac{1}{51}$
• D. $\frac{1}{13}\times \frac{4}{51}$

Answer 1

The correct option is A $\frac{1}{13}\times \frac{1}{13}$

Required probability $=\frac{{}^{13}{C}_1}{{}^{52}{C}_1}\times \frac{{}^4{C}_1}{{}^{52}{C}_1}=\frac{13\times 4}{52\times 52}=\frac{1}{52}.$