document.write( "Question 904487: What's the probability of identical strings occurring if you create a string with two random letters, followed by four random numbers?\r
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Algebra.Com's Answer #548802 by Theo(13342)![]() ![]() You can put this solution on YOUR website! there are 26 letters in the alphabet and 10 numbers for each digit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number of possible combinations is equal to 26^2 * 10^4 assuming you can reuse the same letter and reuse the same number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "CC4444 is a valid combination.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you generate your first string and any combination will be valid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now you generate your second string.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "only 1 out of the 26^2 * 10^4 possible combinations will match it, therefore the probability is 1 / (26^2 * 10^4).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you multiply that out, you get a probability of 1 / 6,760,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |