document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346312>Question 346312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Scoring a hole-in-one is the greatest shot a golfer can make. Once 8 professional golfers each made holes-in-one on the 7th hole at the same golf course at the same tournament. It has been found that the estimated probability of making a hole-in-one is 1/2722 for male professionals. Suppose that a sample of 8 professional male golfers is randomly selected.\r<BR>\n" );
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document.write( "What is the probability that at least one of these golfers makes a hole-in-one on the 13th hole at the same tournament?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247774 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=247774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"at least one\" is the complementary event for \"none\"\r<BR>\n" );
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document.write( "So, we calculate the probability that none of them score a hole-in-one. Then we \r<BR>\n" );
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document.write( "subtract this probability from 1, because if it isn't true that no-one does, \r<BR>\n" );
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document.write( "then at least one of them does.\r<BR>\n" );
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document.write( "For each golfer, prob of not scoring hole-in-one\r<BR>\n" );
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document.write( "= 1 - 1/2722\r<BR>\n" );
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document.write( "= 2721/2722\r<BR>\n" );
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document.write( "Hence prob that all 8 fail to do so\r<BR>\n" );
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document.write( "= (2721/2722)^8\r<BR>\n" );
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document.write( "= 0.997 correct to 3 decimal places.\r<BR>\n" );
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document.write( "Therefore, the probability that at least one does\r<BR>\n" );
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document.write( "= 1 - 0.997\r<BR>\n" );
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document.write( "= 0.003<BR>\n" );
document.write( " </SPAN>\n" );
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