document.write( "Question 355239: if 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that at least one of them will be a queen? \n" ); document.write( "

Algebra.Com's Answer #253780 by sudhanshu_kmr(1152) $\"\"$ $\"About$

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No. of queen in deck = 4\r
\n" ); document.write( "\n" ); document.write( "no. of cards other than queen = 48\r
\n" ); document.write( "\n" ); document.write( "no. of ways to select 7 cards from 52 = 52C7\r
\n" ); document.write( "\n" ); document.write( "no. of ways to select 7 cards from 48 = 48C7\r
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\n" ); document.write( "\n" ); document.write( "probability of no queen = 48C7 / 52C7\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "= 4257/7735\r
\n" ); document.write( "\n" ); document.write( "now, the probability of at least one queen = 1 - 4257/7735 \r
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\n" ); document.write( "\n" ); document.write( "= 3478/7735\r
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