document.write( "Question 1047071: A biased tetrahedral die with faces labelled 1,2,3 and 4 is rolled once. The chance of getting a '3' is twice that of getting a '1' . The chance of getting a '2' is thrice that of getting a '3' . There is an equal chance of getting a'2' and a '4' . Find the probability of getting a prime number. \n" ); document.write( "
Algebra.Com's Answer #662544 by robertb(5830)\"\" \"About 
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\"p%5B3%5D=2p%5B1%5D\",
\n" ); document.write( "\"p%5B2%5D=+3p%5B3%5D\",
\n" ); document.write( "\"p%5B2%5D+=+p%5B4%5D\",
\n" ); document.write( "\"p%5B1%5D%2Bp%5B2%5D%2Bp%5B3%5D%2Bp%5B4%5D+=+1\"\r
\n" ); document.write( "\n" ); document.write( "\"p%5B2%5D=+3p%5B3%5D\" ===> \"p%5B3%5D=+p%5B2%5D%2F3\";\r
\n" ); document.write( "\n" ); document.write( "\"p%5B3%5D=2p%5B1%5D\" ===> \"p%5B1%5D+=+p%5B3%5D%2F2+=+p%5B2%5D%2F6\";\r
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\n" ); document.write( "\n" ); document.write( "===> \"p%5B2%5D%2F6%2Bp%5B2%5D%2Bp%5B2%5D%2F3%2Bp%5B2%5D+=+1\"\r
\n" ); document.write( "\n" ); document.write( "<===> \"5p%5B2%5D%2F2+=+1\" ===> \"p%5B2%5D+=+2%2F5\" \r
\n" ); document.write( "\n" ); document.write( "===> \"p%5B4%5D+=+2%2F5\", \"p%5B3%5D+=+2%2F15\", and \"p%5B1%5D+=+1%2F15\".\r
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\n" ); document.write( "\n" ); document.write( "Therefore \"p%5Bprime%5D+=+p%5B2%5D%2Bp%5B3%5D+=+2%2F5%2B2%2F15+=+8%2F15\"
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