You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled, and you draw again. Find the probability of drawinga diamond the first time and a club the second time.

Respuesta :

We have the following:

We know that in total there are 52 cards, of which 13 are diamonds and 13 are club, therefore, the probability of drawing a diamond or a club card is the same, and it would be the following:

[tex]\begin{gathered} p=\frac{13}{52} \\ p=\frac{1}{4} \end{gathered}[/tex]

Now, how to draw two, the final probability would be the multiplication of both probabilities

[tex]p=\frac{1}{4}\cdot\frac{1}{4}=\frac{1}{16}[/tex]

Therefore, the probability is 1/16 or 6.25%