document.write( "Question 1157441: If 3 regular six-sided dice are rolled, compute the probability of rolling a sum
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document.write( "that is prime and less than 11. \n" );
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Algebra.Com's Answer #780314 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " 1. (1,1,1) has sum 3, which is prime and less than 11.\r\n" ); document.write( " 2. (1,1,3) has sum 5, which is prime and less than 11.\r\n" ); document.write( " 3. (1,2,2) has sum 5, which is prime and less than 11.\r\n" ); document.write( " 4. (1,3,1) has sum 5, which is prime and less than 11.\r\n" ); document.write( " 5. (2,1,2) has sum 5, which is prime and less than 11.\r\n" ); document.write( " 6. (2,2,1) has sum 5, which is prime and less than 11. \r\n" ); document.write( " 7. (3,1,1) has sum 5, which is prime and less than 11.\r\n" ); document.write( " 8. (1,1,5) has sum 7, which is prime and less than 11.\r\n" ); document.write( " 9. (1,2,4) has sum 7, which is prime and less than 11.\r\n" ); document.write( "10. (1,3,3) has sum 7, which is prime and less than 11.\r\n" ); document.write( "11. (1,4,2) has sum 7, which is prime and less than 11.\r\n" ); document.write( "12. (1,5,1) has sum 7, which is prime and less than 11.\r\n" ); document.write( "13. (2,1,4) has sum 7, which is prime and less than 11.\r\n" ); document.write( "14. (2,2,3) has sum 7, which is prime and less than 11.\r\n" ); document.write( "15. (2,3,2) has sum 7, which is prime and less than 11.\r\n" ); document.write( "16. (2,4,1) has sum 7, which is prime and less than 11.\r\n" ); document.write( "17. (3,1,3) has sum 7, which is prime and less than 11.\r\n" ); document.write( "18. (3,2,2) has sum 7, which is prime and less than 11.\r\n" ); document.write( "19. (3,3,1) has sum 7, which is prime and less than 11.\r\n" ); document.write( "20. (4,1,2) has sum 7, which is prime and less than 11.\r\n" ); document.write( "21. (4,2,1) has sum 7, which is prime and less than 11.\r\n" ); document.write( "22. (5,1,1) has sum 7, which is prime and less than 11.\r\n" ); document.write( "\r\n" ); document.write( "So there are 22 such rolls out of 6∙6∙6 = 216 rolls.\r\n" ); document.write( "\r\n" ); document.write( "So the probability = 22/216 = 11/108 or about 10.1% of the time.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |