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Can anybody give a good solution to this one? An eight-card

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bb
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Can anybody give a good solution to this one? An eight-card [#permalink] New post   Updated on: 28 Jul 2003, 19:53
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Can anybody give a good solution to this one?

An eight-card deck consists of 4 pairs of each suit. 2 cards are taken at random without replacement. What is the probability to have two cards of the same suit?
тАв 1/2
тАв 1/3
тАв 1/4
тАв 1/7
тАв 1/8



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Originally posted by bb on 28 Jul 2003, 19:42.
Last edited by bb on 28 Jul 2003, 19:53, edited 1 time in total.
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AkamaiBrah
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Re: Can anybody give a good solution to this one? An eight-card [#permalink] New post   28 Jul 2003, 21:05
bb wrote:
Can anybody give a good solution to this one?

An eight-card deck consists of 4 pairs of each suit. 2 cards are taken at random without replacement. What is the probability to have two cards of the same suit?
тАв 1/2
тАв 1/3
тАв 1/4
тАв 1/7
тАв 1/8


The absolute quickest way to solve this is to say:

Whatever card I pick as the first card, there is only one card of the seven remaining to match its suit. Hence, the answer is 1/7
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Re: Can anybody give a good solution to this one? An eight-card [#permalink] New post   28 Jul 2003, 22:37
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AkamaiBrah wrote:
bb wrote:
Can anybody give a good solution to this one?

An eight-card deck consists of 4 pairs of each suit. 2 cards are taken at random without replacement. What is the probability to have two cards of the same suit?
тАв 1/2
тАв 1/3
тАв 1/4
тАв 1/7
тАв 1/8


The absolute quickest way to solve this is to say:

Whatever card I pick as the first card, there is only one card of the seven remaining to match its suit. Hence, the answer is 1/7



Very good reasoining!!!

You are the man!
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Re: Can anybody give a good solution to this one? An eight-card [#permalink] New post   29 Jul 2003, 07:58
Another way would be:

Favorable outcome = 4 (because there are only 4 cases where both the cards will be of same suite)

Total outcome = 8C2 = 28

P = 4/28 = 1/7
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Re: Can anybody give a good solution to this one? An eight-card [#permalink] New post   29 Jul 2003, 13:02
great soluton akamai ..

you are a star



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Re: Can anybody give a good solution to this one? An eight-card [#permalink]
29 Jul 2003, 13:02
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