SOLUTION: Hello, I am having trouble with this homework question and after trying to solve it, I'm worried that my answer is not correct. Can you please help me?? Here is the problem an

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Question 416427: Hello,
I am having trouble with this homework question and after trying to solve it, I'm worried that my answer is not correct. Can you please help me??
Here is the problem and the answer choices:
12) Two cards are drawn without replacement from an ordinary deck of 52
playing cards. What is the probability that the second card is a spade if
the first card was not a spade?
a)1/4
b)4/17
c)13/51
d)4/51
Here is my answer : c
Is that correct??
Thank you for your time and consideration
Found 2 solutions by Edwin McCravy, stanbon:
Answer by Edwin McCravy(20056) (Show Source):
You can put this solution on YOUR website!
Two cards are drawn without replacement from an ordinary deck of 52
playing cards. What is the probability that the second card is a spade if
the first card was not a spade?

Since you know that the first card was not a spade, then all 13 spades are still in the deck. So you will be drawing the second card from a deck of 51 cards, 13 of which are spades so there are 13 ways out of 51 cards so the probability is 13/51, choice (c) Edwin

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Two cards are drawn without replacement from an ordinary deck of 52
playing cards. What is the probability that the second card is a spade if
the first card was not a spade?
-----
P(spade|not spade) = P(spade and not spade)/P(not spade)
[(1/4)(39/51)]/[39/52] = 13/51
===================================
c is correct
===================================
Cheers,
Stan H.
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a)1/4
b)4/17
c)13/51
d)4/51
Here is my answer : c