document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371108>Question 371108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are ten raffle tickets, two of which are winners. Find the probability that in a sample of 6 tickets there will be no more than one winning ticket. I am more concerned with how to find the answer then I am with what the actual answer is. Can you please explain. Thanks.<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 #264405 by </B><A HREF=/tutors/aboutme.mpl?userid=jvan><B>jvan(28)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jvan><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=264405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi! =] I'm glad you are interested in learning how to solve, rather than just what the answer is.\r<BR>\n" );
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document.write( "Since there are 2 winning tickets out of 10, you have a probability of 2/10 (simplified to 1/5) winning tickets. Then the probability of getting losing tickets is 1 - 1/5 = 4/5. Notice that the probability always add up to 1 for some event (i.e. winning+losing tickets = 1= 100% of all tickets). We first have to find the chance of one of the 6 tickets being a winning ticket. Multiply the probabilities together, a total of 5 losing and 1 winning ticket gives: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5%2A4%2F5%2A4%2F5%2A4%2F5%2A4%2F5%2A1%2F5+=+0.0655 ALIGN=MIDDLE  ALT=\"4%2F5%2A4%2F5%2A4%2F5%2A4%2F5%2A4%2F5%2A1%2F5+=+0.0655\"   DISABLED_style= \"max-width:90%; height:auto;\" > chance of there being 1 winning ticket out of the 6 total tickets. Next we find the chance of there being no winning tickets in the 6 total tickets: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5%2A4%2F5%2A4%2F5%2A4%2F5%2A4%2F5%2A4%2F5+=+0.262 ALIGN=MIDDLE  ALT=\"4%2F5%2A4%2F5%2A4%2F5%2A4%2F5%2A4%2F5%2A4%2F5+=+0.262\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then the chance of there being NO MORE THAN ONE winning ticket in the 6 total tickets is : 0.0655+0.262 = 0.328, which is equal to 32.8%. \r<BR>\n" );
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document.write( "I hope this helps. Please visit and join my website at www.myonlinetutor.webs.com! ^-^ </SPAN>\n" );
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