document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120139>Question 1120139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each of three boxes has 10 balls with numbers from 0 to 9. You take out one ball from each box randomly. What is the probability that you have taken out<BR>\n" );
document.write( "a. three “2”s?<BR>\n" );
document.write( "b. 3 numbers that are the same? </SPAN>\n" );
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document.write( "a)  (1/10)*(1/10)*(1/10) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight+%28+1%2F1000+%29+ ALIGN=MIDDLE  ALT=\"+highlight+%28+1%2F1000+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = 0.001<BR>\n" );
document.write( "b)  (1/10)*(1/10) =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight+%28+1%2F100+%29+ ALIGN=MIDDLE  ALT=\"+highlight+%28+1%2F100+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = 0.01\r<BR>\n" );
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document.write( "Notice for part(b) that the first pick is x (where x=0,1,…9), so only the 2nd and 3rd picks need to match x. In contrast, part(a) stipulates that x=2 so we have a 1/10 probability of picking that particular x on pick #1.   <BR>\n" );
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document.write( "An alternate way to view (b) vs (a):  there are 10 possible picks where the 3 numbers match, and only one {2,2,2}, so the answer to (b) must be 10 times as great as (a).\r<BR>\n" );
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