document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451341>Question 451341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In this carnival game project(that we have to do for math end of the year project), round 1 goes like this. Out of a deck of cards, you pull a card. If that card is a queen of hearts, you automatically win. If that card is a queen, or a heart(but a king of hearts will make you lose), you must go to the next round. Any other card(or a king of hearts), and you lose. I figured the probability of winning, losing, and moving to round two, on this to be 1/52 winning, 37/52 losing, and 14/52 moving to round two.\r<BR>\n" );
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document.write( "In round two, there are 10 cups(3 blue, 4 red, 3 clear). Players must bounce a ball. If the ball lands in a blue cup, they win. If the ball lands in a red cup, they lose. If the ball lands in a clear cup, they must move to round three. I figured the probability of winning round two to be 3/10, the probability of losing round two to be 4/10, and the probability of moving to round 3 to be 3/10. \r<BR>\n" );
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document.write( "In round three, players must pick a card from a deck of cards. If that card is a queen of hearts, they win. Any other card, and they lose. The probability of winning round 3 is 1/52, and the probability of losing round 3 is 51/52. \r<BR>\n" );
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document.write( "My question is this: What is the probability of winning the whole game? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310372 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=310372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The results of each round are independent.<BR>\n" );
document.write( "Find the probability of winning each round and multiply <BR>\n" );
document.write( "those probabilities.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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