Question

6) A standard deck has 52 cards, and contains 13 cards of each of the four suits: diamonds, spades, hearts, and clubs. What is the
probability that you choose a diamond, given that you have already chosen a diamond and have not replaced it?

Answer 1

Answer:

$\dfrac{12}{51}\cong\dfrac{4}{17}$

Step-by-step explanation:

You have 52 cards in a deck and 13 cards of each suit.

The probability of picking a diamond in a complete deck of cards is:

$\dfrac {13}{52}$

Or the probability is 13 put of 52.

Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:

$\dfrac{12}{51}$

If we simplify it you will have a probability of:

$\dfrac{4}{17}$