document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119199>Question 1119199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> four tickets are drawn from tickets number 1-30 inclusive. Determine the probability that the tickets marked 1 and 2 are among the four </SPAN>\n" );
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document.write( "The total number of ways of choosing 4 of the 30 tickets is 30 choose 4:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830%2A29%2A28%2A27%29%2F%284%2A3%2A2%2A1%29 ALIGN=MIDDLE  ALT=\"%2830%2A29%2A28%2A27%29%2F%284%2A3%2A2%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The number of ways of choosing both the number 1 and 2 tickets and any 2 of the other 28 tickets is (2 choose 2) times (28 choose 2):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2A+%28%2828%2A27%29%2F%282%2A1%29%29 ALIGN=MIDDLE  ALT=\"1+%2A+%28%2828%2A27%29%2F%282%2A1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The probability is then the ratio of those two numbers of ways:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2828%2A27%29%2F%282%2A1%29%29%2F%28%2830%2A29%2A28%2A27%29%2F%284%2A3%2A2%2A1%29%29+=+%284%2A3%2A2%2A1%2A28%2A27%29%2F%2830%2A29%2A28%2A27%2A2%2A1%29+=+%284%2A3%29%2F%2830%2A29%29+=+%2812%2F870%29+=+2%2F145 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > or about 0.0138. </SPAN>\n" );
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