Answer
$\frac{3}{52}$
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 picture card the first time and a heart the second time.
A: {12} picture cards
B: {13} hearts
P(A) = $\frac{12}{52}$
P(B) = $\frac{13}{52}$
Both events A and B are independent:
P(E) = $\frac{12}{52}$ .$\frac{13}{52}$
= $\frac{3}{52}$