Question

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.

Answer 1

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:

`\begin{gathered} p=(13)/(52) \\ p=(1)/(4) \end{gathered}`

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

`p=(1)/(4)\cdot(1)/(4)=(1)/(16)`

Therefore, the probability is 1/16 or 6.25%