document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=547741>Question 547741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An experiment consists of flipping two coins and noting the face of each coin as<BR>\n" );
document.write( "Heads or Tails. \r<BR>\n" );
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document.write( "a)What is the sample space for this experiment?<BR>\n" );
document.write( "b. What is the probability of getting exactly two heads?<BR>\n" );
document.write( "c. What is the probability of getting at least one head.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356542 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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=356542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) the sample space is all the possible outcomes.  <BR>\n" );
document.write( "If H is heads and T is tails, we can can get these outcomes:<BR>\n" );
document.write( "{{H,H},{H,T},{T,T}, {T, H}}\r<BR>\n" );
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document.write( "That's the sample space !\r<BR>\n" );
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document.write( "b) Looking at our sample space, there is one outcome with H,H (2 heads) and a total of 4 possibilities.  So this probability is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c)  This is similar to the last.  The trick being AT LEAST ONE HEAD means we could have one head, or two heads..... \r<BR>\n" );
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document.write( "Looking at the sample space there is 3 options where this is possible, again a total of 4 possibilities   <BR>\n" );
document.write( "So the probability of at least one heads is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Note: once you get into larger sample spaces an easier way to do it is take the total <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F4 ALIGN=MIDDLE  ALT=\"4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and subtract the probability of getting no heads <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F4-1%2F4=3%2F4 ALIGN=MIDDLE  ALT=\"4%2F4-1%2F4=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (It's not a coincidence that the two answers are the same..)  \r<BR>\n" );
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document.write( "Hopefully this helps.    </SPAN>\n" );
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