Question

You are choosing two cards, replacing the first card in the deck after it has been drawn. What is the probability you choose two consecutive fours?

Answer 1

With replacement:

$P=\frac{4}{52}\cdot\frac{4}{52}=\frac{16}{2704}=\frac{1}{169}$

there are four 4s in the 52-card deck -> 4/52

Since you return that card into the deck, the probability of getting two consecutive 4s will be (4/52)*(4/52)