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# What is the probability of getting a King and a Queen in a single draw

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Re: What is the probability of getting a King and a Queen in a single draw [#permalink]
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soaringAlone wrote:
What is the probability of getting a King and a Queen in a single draw of two cards from a pack of well-shuffled cards?

A. 1/16

B. (4C1 * 4C1) / 52C2

C. 4/52 * 4/51

D. 8C2 / 52 C 2

E. (8 * 7) / 52C2

Hi,
the MOST important point here is SINGLE draw..
this means there is NO order..

there are 4 kings, so we can choose a king in 4C1 way..
there are 4 Queens, so we can choose a Queen in 4C1 way..

total possible way = $$\frac{4C1*4C1}{52C2}$$
B
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Re: What is the probability of getting a King and a Queen in a single draw [#permalink]
Hey...
If I said .. There are 4 ways to pick a king and 4 ways to pick a queen ...
2 ways to pick the first card.. The I have the equation
2*(4/52)*(4/51)
... Is this correct

Posted from my mobile device
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Re: What is the probability of getting a King and a Queen in a single draw [#permalink]
nikhiljd wrote:
Hey...
If I said .. There are 4 ways to pick a king and 4 ways to pick a queen ...
2 ways to pick the first card.. The I have the equation
2*(4/52)*(4/51)
... Is this correct

Posted from my mobile device

Hi,
the Q will not say two ways to pick the card But itwould say..
two cards are picked One after another INSTEAD of in a single draw
then it will be 4C1*4C1*2/52C1
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