document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316832>Question 316832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A silver dollar is flipped twice. Calculate the proability of each of the following occurring:<BR>\n" );
document.write( "a) a head on the first flip<BR>\n" );
document.write( "b) a tail on the second flip given that the first toss was a head<BR>\n" );
document.write( "c) two tails<BR>\n" );
document.write( "d) a tail on the first and a head on the second<BR>\n" );
document.write( "e) a tail on the first and a head on the second or a head on the first and a tail on the second<BR>\n" );
document.write( "e) at least one head on the two flips </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226775 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Look at the 2 possible outcomes. <BR>\n" );
document.write( "H <BR>\n" );
document.write( "T<BR>\n" );
document.write( "P(H)=1/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b) Look at the 2 possible outcomes. <BR>\n" );
document.write( "H H <BR>\n" );
document.write( "H T<BR>\n" );
document.write( "P(T)=1/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "c)Look at the 4 possible outcomes. <BR>\n" );
document.write( "H H<BR>\n" );
document.write( "H T<BR>\n" );
document.write( "T H <BR>\n" );
document.write( "T T<BR>\n" );
document.write( "P(T,T)=1/4<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "d)Look at the 4 possible outcomes. <BR>\n" );
document.write( "H H<BR>\n" );
document.write( "H T<BR>\n" );
document.write( "T H <BR>\n" );
document.write( "T T<BR>\n" );
document.write( "P(T,H)=1/4<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "e) From d) P(T,H)=1/4<BR>\n" );
document.write( "P(H,T)=1/4<BR>\n" );
document.write( "P(T,H or H,T)=1/4+1/4=1/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "f) <BR>\n" );
document.write( "P(at least one head)+P(all tails)=1<BR>\n" );
document.write( "P(at least one head)=1-P(T,T)<BR>\n" );
document.write( "P(at least one head)=1-1/4<BR>\n" );
document.write( "P(at least one head)=3/4\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );