#### Answer

$\frac{1}{4}$

#### Work Step by Step

If A and B are independent events, then
P(E) = P(A)*P(B)
You draw a card from a standard deck of playing cards. Then, after the card that you drew is replaced, you draw another card. Find the probability of some event, E, happening. Let A be the first event, B be the second event, and so on.
E: a red card the first and the second time
A: {26} a red card
B: {26} a red card
P(A) = $\frac{26}{52}$
P(B) = $\frac{26}{52}$
Both events A and B are independent:
P(E) = $\frac{26}{52}$ .$\frac{26}{52}$
= $\frac{1}{4}$