document.write( "Question 440625: suppose you are dealt a hand of three cards at random from a deck of 32 cards consisting of 4 aces, 4 2s, 4 3s and so on up to 4 8s. what is the probability that your hand will have atleast 2 4s? what is the probability that none of your cards will have the same numeric value?\r
\n" ); document.write( "\n" ); document.write( "i tried (4/32)(3/31) for the first one and it was wrong
\n" ); document.write( "i tried (1/32)(1/31)(1/30) for the second but that didn't work either \n" ); document.write( "
Algebra.Com's Answer #304478 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
the number of different 3 card hands from a deck of 32 cards is ___ 32C3\r
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\n" ); document.write( "\n" ); document.write( "the number of different hands containing 2 fours is ___ (4C2)*28\r
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\n" ); document.write( "\n" ); document.write( "the number of different hands containing 3 fours is ___ (4C3)\r
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\n" ); document.write( "\n" ); document.write( "the probability of at least 2 fours ___ {[(4C2)*28] + 4C3} / 32C3\r
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\n" ); document.write( "\n" ); document.write( "for a hand of no matching cards
\n" ); document.write( "___ possibilities for 1st card ___ 32
\n" ); document.write( "___ possibilities for 2nd card ___ 28
\n" ); document.write( "___ possibilities for 3rd card ___ 24
\n" ); document.write( "___ since order does NOT count, the product is divided by 3!\r
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\n" ); document.write( "\n" ); document.write( "probability of no matching cards ___ [(32*28*24) / 3!] / 32C3
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