document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196517>Question 1196517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains five balls, numbered 1, 2, 3, 4 and 5. Another bag contains six balls numbered<BR>\n" );
document.write( "1, 2, 3, 4, 5 and 6. One ball is drawn at random from each bag. Find the probability that<BR>\n" );
document.write( "a) one ball is numbered 1 and the other 6,<BR>\n" );
document.write( "b) both balls have an odd number,<BR>\n" );
document.write( "(c) both balls have the same number,<BR>\n" );
document.write( "(d) the sum of the numbers on the balls is 9. </SPAN>\n" );
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document.write( "There are 5 choices for the ball from the first bag and 6 choices for the ball from the second bag.  So the number of possible draws is 5*6 = 30; that is the denominator of all the probability fractions.<br><BR>\n" );
document.write( "(a) one ball is numbered 1, the other 6.  The 6 had to come from the second bag, so the 1 had to come from the first.<BR>\n" );
document.write( "Number of favorable outcomes: 1*1 = 1; probability 1/30<br><BR>\n" );
document.write( "(b) both balls have an odd number.  3 possibilities from each bag.<BR>\n" );
document.write( "Number of favorable outcomes: 3*3 = 9; probability 9/30<br><BR>\n" );
document.write( "(c) both balls have the same number.  That number can be 1, 2, 3, 4, or 5.<BR>\n" );
document.write( "Number of favorable outcomes: 5; probability 5/30<br><BR>\n" );
document.write( "(d) the sum of the numbers on the ball is 9.  The combination can be 3+6, 4+5, or 5+4.<BR>\n" );
document.write( "Number of favorable outcomes: 3; probability 3/30<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "(a) 1/30<BR>\n" );
document.write( "(b) 9/30 = 3/10<BR>\n" );
document.write( "(c) 5/30 = 1/6<BR>\n" );
document.write( "(d) 3/30 = 1/10<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );