document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192038>Question 1192038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 25 chips numbered 1 to 25. If a chip is drawn randomly from the bag, what\r<BR>\n" );
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document.write( "is the probability that it is\r<BR>\n" );
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document.write( "a 7 or 15?\r<BR>\n" );
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document.write( "b. 5 or a number divisible by 3?\r<BR>\n" );
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document.write( "c. even or divisible by 3?\r<BR>\n" );
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document.write( "d a number divisible by 3 or divisible by 4? </SPAN>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "a) 2/25<BR>\n" );
document.write( "b) 9/25<BR>\n" );
document.write( "c) 16/25<BR>\n" );
document.write( "d) 12/25\r<BR>\n" );
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document.write( "Explanation on how I got those answers:\r<BR>\n" );
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document.write( "Part (a)\r<BR>\n" );
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document.write( "There are 2 chips we want out of 25 total.<BR>\n" );
document.write( "Therefore, 2/25 is the probability of getting either a \"7\" or a \"15\".\r<BR>\n" );
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document.write( "Part (b)\r<BR>\n" );
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document.write( "Event space = {3, 5, 6, 9, 12, 15, 18, 21, 24}<BR>\n" );
document.write( "The event space is the set of stuff we want to happen, which is getting a multiple of 3 or getting \"5\".<BR>\n" );
document.write( "There are 9 numbers in that list.\r<BR>\n" );
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document.write( "This is out of 25 total items in the sample space. \r<BR>\n" );
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document.write( "That's why 9/25 is the answer.\r<BR>\n" );
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document.write( "Part (c)\r<BR>\n" );
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document.write( "A = number is even = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}<BR>\n" );
document.write( "B = number is divisible by 3 = {3, 6, 9, 12, 15, 18, 21, 24} <BR>\n" );
document.write( "Each item in either set above must be between 1 and 25.\r<BR>\n" );
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document.write( "C = the number is even, or divisible by 3, or both <BR>\n" );
document.write( "C = A union B<BR>\n" );
document.write( "C = {2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24}\r<BR>\n" );
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document.write( "All of the items in set C represent stuff we want to happen. <BR>\n" );
document.write( "There are 16 values in set C out of 25 values total.\r<BR>\n" );
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document.write( "Answer: 16/25\r<BR>\n" );
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document.write( "Part (d)\r<BR>\n" );
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document.write( "A = number is divisible by 3 = {3, 6, 9, 12, 15, 18, 21, 24} <BR>\n" );
document.write( "B = number is divisible by 4 = {4, 8, 12, 16, 20, 24}\r<BR>\n" );
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document.write( "C = the number is divisible by 3, or divisible by 4, or both<BR>\n" );
document.write( "C = A union B<BR>\n" );
document.write( "C = {3, 4, 6, 8, 9, 12, 15, 16, 18, 20, 21, 24}\r<BR>\n" );
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document.write( "There are 12 items in set C out of 25 total.\r<BR>\n" );
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document.write( "The probability of getting a number divisible by 3, divisible by 4, or both is 12/25\r<BR>\n" );
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