document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=939371>Question 939371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag of fast-food sandwiches contains two hamburgers, four cheeseburgers, and three chicken burgers. If Wyatt ordered a cheeseburger and a chicken burger, what is the probability that<BR>\n" );
document.write( "a) the first sandwich selected will be one of his choices?<BR>\n" );
document.write( "b) neither of the first two sandwiches will be among Wyatt's choices? </SPAN>\n" );
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document.write( "Given: a bag of 2 hamburgers (H), 4 cheeseburgers (C), and 3 chicken burgers (K).\r<BR>\n" );
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document.write( "Solution<BR>\n" );
document.write( "(a) A sandwich is randomly selected from the bag. Find probability of picking one of Wyatt's order -- either a cheeseburger or chicken.<BR>\n" );
document.write( "Assuming random selection, the probability of selecting any burger has equal probability and the probability of success is the ratio #success/#possibilities.<BR>\n" );
document.write( "Success is choosing one of 4C or 3K with a total of 7.  The bag contains 9 burgers, which means<BR>\n" );
document.write( "P(C or K) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F9 ALIGN=MIDDLE  ALT=\"7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "(b) Two A sandwiches are randomly selected from the bag (assumed without replacement).  Find probability of not picking Wyatt's order in both picks.<BR>\n" );
document.write( "The only choice which is not in Wyatt's order is hamburger (H).<BR>\n" );
document.write( "There are two hamburgers in the bag.  The first pick is 2 out of 9, and the second pick is 1 (remaining) out of 9.  Using the multiplication rule for a two step experiment (without replacement), the probability of picking none of Wyatt's order in the first two picks is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28HH%29=%282%2F9%29%281%2F9%29=2%2F81 ALIGN=MIDDLE  ALT=\"P%28HH%29=%282%2F9%29%281%2F9%29=2%2F81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "(a) probability of picking one of Wyatt's choice is 7/9.<BR>\n" );
document.write( "(b) probability of not picking Wyatt's choice in both of two picks is 2/81.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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