document.write( "Question 273687:  You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.85. With water it will die with probability 0.55. You are 88 % certain the neighbor will remember to water the plant. 
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document.write( "You come back from the vacation and the plant is dead. What is the probability that the plant died because neighbor forgot to water it?  \n" );
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| Algebra.Com's Answer #199910 by jim_thompson5910(35256)      You can put this solution on YOUR website! P(Neighbor forgot AND plant died without water) = P(Neighbor forgot) * P(plant died without water)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(Neighbor forgot AND plant died without water) = (1-P(Neighbor remembering)) * P(plant died without water)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(Neighbor forgot AND plant died without water) = (1-0.88) * 0.85\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(Neighbor forgot AND plant died without water) = 0.12 * 0.85\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(Neighbor forgot AND plant died without water) = 0.102\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the probability that the plant died due to the neighbor's neglect is 0.102 which is a 10.2% chance. \n" ); document.write( " |