document.write( "Question 878508: A few questions: Any help with these problems will be appreciated.\r
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document.write( "#1 An algebra class has 30 students - 17 girls and 13 boys.\r
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document.write( "If a four student group is chosen at random, what is the probability that it will consist of all boys?\r
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document.write( "I thought it would be 30C4 but the \"all boys\" part throws me off.
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document.write( "#2 Six cards are dealt from a standard deck of playing cards (without replacement).\r
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document.write( "What is the Probability that all six cards are face cards?\r
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document.write( "What is the probability that the group of cards has exactly 3 kings?\r
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document.write( "What is the Probability that the group of cards has at least 4 hearts? \n" );
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Algebra.Com's Answer #530033 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! # 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "30 C 4 is the number of ways to pick 4 people from a pool of 30 (17 + 13 = 30)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 13 boys, so there are 13 C 4 ways to pick 4 boys only\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The probability is (13 C 4)/(30 C 4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can leave it like that or evaluate that with a calculator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "================================================================================\r \n" ); document.write( "\n" ); document.write( "# 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'll do the first part to get you started\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 52 C 6 ways to select 6 cards\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 12 C 6 ways to have all 6 face cards (3 faces J,Q,K and 4 suits: 3*4 = 12 face cards total)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "What is the Probability that all six cards are face cards? \n" ); document.write( " \n" ); document.write( "(12 C 6)/(52 C 6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "again you can leave that as is or use a calculator to evaluate\r \n" ); document.write( "\n" ); document.write( "--------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'll let you finish up the rest of #2 \n" ); document.write( " |