Answer: Our required probability is [tex]\dfrac{1}{52}[/tex]
Step-by-step explanation:
Since we have given that
Number of cards in a deck = 52
Number of nines = 4
Number of hearts = 13
It is the case of replacement.
Probability of drawing a nine the first time and a hear the second time is given by
[tex]\dfrac{4}{52}\times \dfrac{13}{52}\\\\=\dfrac{1}{13}\times \dfrac{1}{4}\\\\=\dfrac{1}{52}[/tex]
Hence, our required probability is [tex]\dfrac{1}{52}[/tex]