document.write( "Question 1191225: Are the events E and G mutually exclusive \n" ); document.write( "

Algebra.Com's Answer #823028 by MathLover1(20850) $\"\"$ $\"About$

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what are the events E and G in your case ?\r
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\n" ); document.write( "\n" ); document.write( "Mutually Exclusive Events:\r
\n" ); document.write( "\n" ); document.write( " $\"A+\"$ and $\"B+\"$ are mutually exclusive events $\"if\"$ they $\"cannot\"$ $\"+occur\"$ at the $\"same\"$ $\"+time\"$ . \r
\n" ); document.write( "\n" ); document.write( "This means that $\"+A+\"$ and $\"B\"$ do $\"+not\"$ $\"share\"$ $\"+any\"$ $\"+outcomes\"$ and $\"P\"$ ( $\"A\"$ AND $\"B\"$ ) = $\"0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "For example, suppose the sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
\n" ); document.write( "Let A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, and C = {7, 9}.\r
\n" ); document.write( "\n" ); document.write( " $\"A\"$ AND $\"B+\"$ = {4, 5}\r
\n" ); document.write( "\n" ); document.write( " $\"P\"$ ( $\"A\"$ AND $\"B\"$ ) = $\"2%2F10\"$ and is $\"not\"$ $\"+equal\"$ to $\"zero\"$ . \r
\n" ); document.write( "\n" ); document.write( "Therefore, $\"A\"$ and $\"B\"$ are $\"highlight%28not%29\"$ $\"+mutually\"$ $\"+exclusive\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"+A\"$ and $\"C\"$ do $\"highlight%28not%29\"$ $\"have\"$ any numbers in common, so \r
\n" ); document.write( "\n" ); document.write( " $\"P\"$ ( $\"A\"$ AND $\"C\"$ ) = $\"0\"$ \r
\n" ); document.write( "\n" ); document.write( " Therefore, $\"+A\"$ and $\"C\"$ $\"highlight%28are%29\"$ $\"mutually\"$ $\"+exclusive\"$ .\r
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