document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326000>Question 326000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I use the mean and the standard deviation to calculate the odds?\r<BR>\n" );
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document.write( "For example, suppose I have a set of data representing how often a person might guess a playing card correctly, using a standard deck of 52 cards.\r<BR>\n" );
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document.write( "I want to use the mean and the standard deviation of this sample to aproximate the odds of that same person guessing N cards correctly, out of 52 cards, where N is any integer.\r<BR>\n" );
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document.write( "Random chance averages 1 card correct out of a deck of 52...\r<BR>\n" );
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document.write( "Assuming that the sample size is sufficiently large, I want to calculate the odds of getting 2, 3, 4, etc correct.\r<BR>\n" );
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document.write( "If I also keep statiscics on how often the person gets just the suit correct, or juxt the rank correct, how do I also calculate those odds?\r<BR>\n" );
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document.write( "Random chance averages 3 ranks 'hits', 12 suit 'hits' and one exact 'hit' (both rank and suit correct) in a deck of 52 cards.\r<BR>\n" );
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document.write( "I want to calculate the odds of that same person getting X rank 'hits' or Y suit 'hits'\r<BR>\n" );
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document.write( "Also, If I include the jokers, how does this affect the rank and suit calculations (if both jokers are considered the same \"suit\" and the same \"rank\" are the odds 1 in 5 of a suit 'hit' and 1 in 14 of a rank 'hit) {some decks contain different jokers, a red one and a black one - so if these jokers are considered to be of different \"suits\" but of the same \"rank\" are the odds 1 in 6 of a suit 'hit' and 1 in 14 of a rank 'hit} \r<BR>\n" );
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document.write( "Using my statistical sample, how do I calculate these numbers?\r<BR>\n" );
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document.write( "(Assume my sample size is in the millions of decks - sufficiantly large to provide meaningfull results) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233349 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20065)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=233349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability of guessing a card correctly is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=1%2F52 ALIGN=MIDDLE  ALT=\"p=1%2F52\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The probability of guessing just the suit correctly is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=1%2F4 ALIGN=MIDDLE  ALT=\"p=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The probability of guessing just the rank correctly is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=1%2F13 ALIGN=MIDDLE  ALT=\"p=1%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "I'm not sure about what you consider concerning the jokers.\r<BR>\n" );
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document.write( "The probability of guessing any x of those out of n times is a binomial probability.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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