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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?

Respuesta :

AlpenGlow

Answer:

[tex]\dfrac{12}{51}\cong\dfrac{4}{17}[/tex]

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:

[tex]\dfrac {13}{52}[/tex]

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:

[tex]\dfrac{12}{51}[/tex]

If we simplify it you will have a probability of:

[tex]\dfrac{4}{17}[/tex]

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