document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=310248>Question 310248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many 7 card hands having exactly 3 Aces, 4 other cards can be dealt?\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "Five coins are tossed. Find the Probability of each event.\r<BR>\n" );
document.write( "\n" );
document.write( "a.       At least one comes up tails.\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "b.      Exactly two come up tails\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221865 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=221865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many 7 card hands having exactly 3 Aces, 4 other cards can be dealt?<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "# of ways to get 3 Aces: 4C3 = 4<BR>\n" );
document.write( "# of ways to get 4 other cards = 48C4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "# of 7 card hands with 3 aces and 4 other cards: 4*48C4 = 778,320<BR>\n" );
document.write( "============================================ \r<BR>\n" );
document.write( "\n" );
document.write( "Five coins are tossed. Find the Probability of each event. <BR>\n" );
document.write( "a. At least one comes up tails.<BR>\n" );
document.write( "P(at least one) = 1 - P(no tails)<BR>\n" );
document.write( "= 1 - (1/2)^5 <BR>\n" );
document.write( "= 1-1/32<BR>\n" );
document.write( "= 31/32<BR>\n" );
document.write( "===================\r<BR>\n" );
document.write( "\n" );
document.write( "b. Exactly two come up tails<BR>\n" );
document.write( "P(2 tails) = 5C2(1/2)^2(1/2)^3 = 5C2/32 = 10/32 = 5/16<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" );