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A standard deck of 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 spade, given that you have already chosen a diamond (and have not replaced it)?

Respuesta :

JeanaShupp

Answer: [tex]\frac{13}{51}[/tex]

Step-by-step explanation:

Given: Number of cards in a standard deck = 52

If we already chosen a diamond card, then the number of cards left in the deck =52-1=51

The number of spades remains same = 13

Now, the probability that you choose a spade, given that you have already chosen a diamond is given by :-

[tex]P(Spade|diamond)=\frac{13}{51}[/tex]

Hence, the the probability that you choose a spade, given that you have already chosen a diamond [tex]=\frac{13}{51}[/tex]

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