Question

ou draw one card from a​ 52-card deck. Then the card is replaced in the deck and the deck is​ shuffled, and you draw again. Find the probability of drawing a nine the first time and a heart the second time

Answer 1

Answer: Our required probability is $\dfrac{1}{52}$

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

$\dfrac{4}{52}\times \dfrac{13}{52}\\\\=\dfrac{1}{13}\times \dfrac{1}{4}\\\\=\dfrac{1}{52}$

Hence, our required probability is $\dfrac{1}{52}$