document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=418573>Question 418573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alice and Bob each have a deck of playing cards. Each flips over a randomly selected card.<BR>\n" );
document.write( "Assume that all pairs of cards are equally likely to be drawn. Determine the following<BR>\n" );
document.write( "probabilities:<BR>\n" );
document.write( "(a) The probability that at least one card is an ace.<BR>\n" );
document.write( "(b) The probability that the two cards are of the same suit.<BR>\n" );
document.write( "(c) The probability that neither card is an ace.<BR>\n" );
document.write( "(d) The probability that neither card is a diamond or club. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292874 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Alice and Bob each have a deck of playing cards. Each flips over a randomly selected card.<BR>\n" );
document.write( "Assume that all pairs of cards are equally likely to be drawn. Determine the following<BR>\n" );
document.write( "probabilities:<BR>\n" );
document.write( "(a) The probability that at least one card is an ace.<BR>\n" );
document.write( "P(no ace) = 48/52<BR>\n" );
document.write( "P(at least one ace) = 1 - (48/52)^2 = 0.1479<BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "(b) The probability that the two cards are of the same suit.<BR>\n" );
document.write( "(1/4)^2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(c) The probability that neither card is an ace.<BR>\n" );
document.write( "(48/52)^2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "(d) The probability that neither card is a diamond or club.<BR>\n" );
document.write( "(26/52)^2<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );