document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199739>Question 1199739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An experiment consists of first rolling a die and then tossing a coin:\r<BR>\n" );
document.write( "\n" );
document.write( "a. How many elements are there in the sample space? \r<BR>\n" );
document.write( "\n" );
document.write( "b. Let A be the event that either a 2 or 3 is rolled first, followed by landing a head on the coin toss.<BR>\n" );
document.write( "P(A) = <BR>\n" );
document.write( " Present your answer as a decimal rounded to four decimal places.\r<BR>\n" );
document.write( "\n" );
document.write( "c. Let B be the event that a number less than 3 is rolled, followed by landing a head on the coin toss. Are the events A and B mutually exclusive?\r<BR>\n" );
document.write( "\n" );
document.write( "Yes, they are Mutually Exclusive<BR>\n" );
document.write( "No, they are not Mutually Exclusive </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833691 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sample space is:<BR>\n" );
document.write( "1H<BR>\n" );
document.write( "2H<BR>\n" );
document.write( "3H<BR>\n" );
document.write( "4H<BR>\n" );
document.write( "5H<BR>\n" );
document.write( "6H<BR>\n" );
document.write( "1T<BR>\n" );
document.write( "2T<BR>\n" );
document.write( "3T<BR>\n" );
document.write( "4T<BR>\n" );
document.write( "5T<BR>\n" );
document.write( "6T<BR>\n" );
document.write( "a) Thus, there are 12 elements<BR>\n" );
document.write( "b) The possibilities are 2H and 3H. P(A) = 2/12 = 1/6<BR>\n" );
document.write( "c) They are not mutually exclusive. These are independent events.  The result of the coin toss is not affected by what number is rolled. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );