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

`(12)/(51)\cong(4)/(17)`

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:

`\frac {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:

`(12)/(51)`

If we simplify it you will have a probability of:

`(4)/(17)`