Two Plus Two Newer Archives - homework help anyone? :)

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Gene Fish

11-12-2007 05:07 PM

homework help anyone? :)

i would appreciate any input big time [img]/images/graemlins/smile.gif[/img]

Let's work with a deck of 9 cards: denominations J, Q, and K, and suits Hearts, Diamonds, Spades. A hand of 3 cards is dealt at random.

What is the probability that the hand contains 2 cards from one denomination and 1 card from another?

bigpooch

11-12-2007 05:21 PM

Re: homework help anyone? :)

3C(3,2)x2x3/C(9,3) = 54/84 = 9/14

Gene Fish

11-12-2007 05:25 PM

Re: homework help anyone? :)

sweet!!! thanks man

jay_shark

11-12-2007 05:26 PM

Re: homework help anyone? :)

There are 3c2 ways to select the denomination .
For each denomination there are 3c2 ways to select a pair and 3c1 ways to select a card from the other denomination .

So 3c2*[3c2*3c1 + 3c1*3c2] = 54 .

The probability is 54/9c3 = 9/14

Gene Fish

11-12-2007 05:43 PM

Re: homework help anyone? :)

thank you for the help!

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