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# What is the probability of getting two cards that belong to the same

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Re: What is the probability of getting two cards that belong to the same [#permalink]
Total ways = 52C2
Selecting both Red cards = 26C2
Selecting both Black cards = 26C2
Probability = (2 x 26C2)/52C2 = 25/51
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Re: What is the probability of getting two cards that belong to the same [#permalink]
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soaringAlone wrote:
What is the probability of getting two cards that belong to the same color when two cards are drawn at random from a pack of 52 cards?

A. 1/2

B. 25/51

C. 26 C 2 / 52 C 2

D. 1/26

E. 25/52

We must assume that half of the cards are red and half are black.

The probability of getting two red cards is 26/52 x 25/51 = 1/2 x 25/51 = 25/102.

Since the number of black cards is the same as the number of reds, the probability of selecting two black cards is also 25/102.

So the probability of selecting two cards of the same color (either both red or both black) is 25/102 + 25/102 = 25/51.

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Re: What is the probability of getting two cards that belong to the same [#permalink]
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Re: What is the probability of getting two cards that belong to the same [#permalink]
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