document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152860>Question 1152860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume I shuffle together two standard (52 card) decks of playing cards:<BR>\n" );
document.write( "If I draw a card from the deck, replace this card, reshuffle, and draw a second card from the deck, what is the probability that I will draw two cards that are either threes or twos? (Hint: There are 4 twos and 4 threes in a single standard deck.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774971 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The shuffling is irrelevant; and since the first card is replaced before the second card is drawn, the probability of getting a 2 or 3 is the same on both draws.  8 of the 52 cards are twos or threes:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F52%29%288%2F52%29+=+%282%2F13%29%282%2F13%29+=+4%2F169 ALIGN=MIDDLE  ALT=\"%288%2F52%29%288%2F52%29+=+%282%2F13%29%282%2F13%29+=+4%2F169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: P(both cards are twos or threes) = 4/169<br><BR>\n" );
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