You 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

Respuesta :

SOLUTION:

Step 1:

In this question, we are given the following:

You 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​

Step 2:

From the question, we can see that the probability of drawing a nine the first time and a heart the second time​ is:

[tex]\frac{4}{52\text{ }}\text{ x }\frac{13}{52}=\text{ }\frac{52}{52\text{ x 52}}=\frac{1}{52}[/tex]

CONCLUSION:

The probability of drawing a nine the first time and a heart the second time​ is:

[tex]\frac{1}{52}[/tex]