Two cards are drawn at random in succession with replacement from a deck of 52 well shuffled card. Probability of getting both aces is A. $$\frac{1}{{169}}$$ B. $$\frac{2}{{169}}$$ C. $$\frac{1}{{13}}$$ D. $$\frac{2}{{13}}$$

The probability of getting both aces is $\frac{4}{52}\cdot\frac{4}{52}=\frac{1}{169}$.

The first card can be any card, so the probability of getting an ace is $\frac{4}{52}$. The second card can also be any card, so the probability of getting an ace is also $\frac{4}{52}$. However, we need to multiply these probabilities because the events are dependent. The probability of getting two aces is the probability of getting an ace on the first draw and then getting an ace on the second draw, given that the first draw was an ace.

The other options are incorrect because they do not take into account the fact that the cards are drawn with replacement.