document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37632>Question 37632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1o balls numbered 1 to 10 are in a jar. Jack reaches into jar & randomly removes one of the ball. Then jill reaches into the jar & randomlly removes a different ball..What is the probability that the sum of the 2 numbers on the balls removed is even?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23228 by </B><A HREF=/tutors/aboutme.mpl?userid=mszlmb><B>mszlmb(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mszlmb><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=mszlmb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ok odd+odd=even  even+even=even  odd+even=odd<BR>\n" );
document.write( "so we're looking at the probability that both picked either odd numbers or that both chose even numbers<BR>\n" );
document.write( "too hard, let's just take the total probability (1) and subtract from it the probability that 1 picked odd and 1 even.<BR>\n" );
document.write( "p(1st guy picking even)or p(1st guy picking odd)=.5<BR>\n" );
document.write( "cuz there's 5/10 even numbers (2,4,6,8,10) and 5/10 odd (1,3,5,7,9)<BR>\n" );
document.write( "p(2nd guy picking odd)or p(2nt guy picking even)=.5<BR>\n" );
document.write( "same reason<BR>\n" );
document.write( "p(2nd guy picking the opposite of 1st guy)=5/10*5/9=5/18=.25252525....<BR>\n" );
document.write( "5/10 cuz 5 of 10 of choices r either even or odd and<BR>\n" );
document.write( "1/9 cuz of those 5/10, 5/9 of the balls remaining were the opposite.<BR>\n" );
document.write( "we times them cuz we have 5/10ths a chance @ first and of those 5/10ths n array of 5/9ths per 5/10ths.<BR>\n" );
document.write( "NOTE had Jack (the 1st dude) put the ball back, p(2nd guy picking opposite of 1st guy) would be 5/10*5/10, but because he takes the ball out, Jill now has a 5/9ths chance to pick a ball opposite his.<BR>\n" );
document.write( "if uv bin keeping up, the answer .25252525... is the probability that the sum of the numbers is not even.<BR>\n" );
document.write( "1-.25252525...=.7474747474.. or .75.  75% chance, .75 probability, 75/100.\r<BR>\n" );
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document.write( "chek and check^2 to c if im right, and plz email me if im wrong. </SPAN>\n" );
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