document.write( "Question 482230: What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has two letters followed by two numerals followed by three letters? (Round to the nearest whole percent.) \n" ); document.write( "
Algebra.Com's Answer #330167 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We find the probability of the complement event and subtract from 1.\r\n" );
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document.write( "So we first calculate the probability of having no repetitions:\r\n" );
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document.write( "The number of tags with no repetitions is\r\n" );
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document.write( "26×25×10×9×8\r\n" );
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document.write( "The number of possible tags:\r\n" );
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document.write( "26×26×10×10×10\r\n" );
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document.write( "So the probability is\r\n" );
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document.write( "\"%2826%2A25%2A10%2A9%2A8%29%2F%2826%2A26%2A10%2A10%2A10%29\" =\r\n" );
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document.write( " =\r\n" );
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document.write( "\"%2825%2A9%2A8%29%2F%2826%2A10%2A10%29\" =\r\n" );
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document.write( "\"%28%285%2A5%29%2A%283%2A3%29%2A%282%2A2%2A2%29%29%2F%28%2813%2A2%29%285%2A2%29%285%2A2%29%29\" =\r\n" );
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document.write( " =\r\n" );
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document.write( "\"%283%2A3%29%2F13\"\r\n" );
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document.write( "\"9%2F13\"\r\n" );
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document.write( "Now to find the desired probability, we subtract that from 1.\r\n" );
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document.write( "\"1-9%2F13=13%2F13-9%2F13=4%2F13\"\r\n" );
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document.write( "That's the exact fraction answer.  But you wanted the decimal\r\n" );
document.write( "value \r\n" );
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document.write( "\".3076923077+=%2230.76923077%25%22\"\r\n" );
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document.write( "and you want it rounded to the nearest whole percent. \r\n" );
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document.write( "So it's 31%.\r\n" );
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document.write( "Edwin
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