Two cards are drawn without replacement from a shuffled deck of 52 cards. What is the probability that the second card is a king?

Solutions showing step-by-step is very much appreciated.

Thank you in advance :).

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- January 22nd 2010, 05:27 PMflywithmeDrawing cards without replacement.
Two cards are drawn without replacement from a shuffled deck of 52 cards. What is the probability that the second card is a king?

Solutions showing step-by-step is very much appreciated.

Thank you in advance :). - January 22nd 2010, 05:54 PMSoroban
Hello, flywithme!

Quote:

Two cards are drawn without replacement from a shuffled deck of 52 cards.

What is the probability that the second card is a King?

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Do we care what the first card is? . . . No!

Suppose they asked for the probability that the 17th card is a King.

Do we need to know if any of the first 16 cards are Kings? . . . No.

Spread the cards face down on the table.

. . Point tocard: "Is it a King?"*any*

The probability will be: .

Get it?

- January 22nd 2010, 05:57 PMPlato
- January 22nd 2010, 07:03 PMflywithme
Thank you very much Soroban, I never tackled probability with abstract thoughts.

@Plato, how can I show effort on my part? I struggle hard with probability and I can't help others with other types of math because I am only mediocre. - January 22nd 2010, 11:12 PMmatheagle
I always talk about this in class.

I usually ask what is the probability we select the ace of spades on the second, fifth... pick?

It's always 1/52.

BUT then I prove it....

P(King on second pick)=P(KING, KING)+P(not a KING, KING)

- January 22nd 2010, 11:17 PMVonNemo19