document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123012>Question 1123012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 53% of the residents in a town own a dog. 64% own a cat. 49% of the dog owners also own a cat. If a resident is chosen at random. What are the probabilities for the following? <BR>\n" );
document.write( "-Probability(own a dog)<BR>\n" );
document.write( "-P(own a cat)<BR>\n" );
document.write( "-P(own a cat and a dog)<BR>\n" );
document.write( "-P(own a dog given they own a cat) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739269 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probabilities and are related in that, if something has happened 54% of the time in the past, then, unless something changes, it is reasonable to expect that it will happen approximately 54% of the time in the future as well.\r<BR>\n" );
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document.write( "that's why, it 54% of the people own dogs, then, it is reasonable to expect that, if you pick a person randomly out of the same population, the probability that the person will own a dog is 54%.\r<BR>\n" );
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document.write( "therefore:\r<BR>\n" );
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document.write( "given that 54% own dogs and 64% own cats and 49% own both, ........\r<BR>\n" );
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document.write( "p(own a dog) = .54<BR>\n" );
document.write( "p(own a cat) = .64<BR>\n" );
document.write( "p(own a cat and a dog) = .49\r<BR>\n" );
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document.write( "p(own a cat given that they own a dog) requires some logic and a formula that was developed to handle this situation.\r<BR>\n" );
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document.write( "you have 54% own a dog.<BR>\n" );
document.write( "you have 49% own a cat and a dog.\r<BR>\n" );
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document.write( "given that a person owns a dog, the probability that the same person also owns a cat is .49 / .54 = .907407407.\r<BR>\n" );
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document.write( "the formula developed to handle this situation is:\r<BR>\n" );
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document.write( "p(owns a cat given owns a dog) = p(owns a cat and a dog) divided by p(owns a dog).\r<BR>\n" );
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document.write( "the generalizerd formula is:\r<BR>\n" );
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document.write( "p(A given B) = p(A and B) / p(B)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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