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=(4)/(52)\cdot(4)/(52)=(16)/(2704)=(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)