document.write( "Question 937669: Hi, \r
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document.write( "I would like some help on this question please:\r
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document.write( "Events L and M are mutually exclusive and exhaustive. The event N has some influence on whether L or M will occur.
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document.write( "P(N) = 0.1
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document.write( "P(M | N) = 0.3
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document.write( "P(M | (complement N, can't do the bar on top) = 0.6\r
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document.write( "Use the rules of conditional probability to find P(L).\r
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document.write( "Thanks in advance! \n" );
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Algebra.Com's Answer #571110 by oscargut(2103)![]() ![]() You can put this solution on YOUR website! P(M)= P(M/N)P(N)+P(M/not(N))P(not N)\r \n" ); document.write( "\n" ); document.write( "= 0.3(0.1)+0.6(0.9) = 0.03+0.54 = 0.57\r \n" ); document.write( "\n" ); document.write( "P(L) = 1-P(M) = 1-0.57 = 0.43\r \n" ); document.write( "\n" ); document.write( "Answer: P(L)=0.43\r \n" ); document.write( "\n" ); document.write( "If you need more help or if you need more questions you can contact me at: \n" ); document.write( "mthman@gmail.com \n" ); document.write( "Thanks \n" ); document.write( " \n" ); document.write( " |