document.write( "Question 1153969: You send out three messages for help:
\n" ); document.write( "a smoke signal that has prob .1 of being seen
\n" ); document.write( "a message in a bottle that has prob .2 of being found
\n" ); document.write( "a carrier pigeon that has prob .3 of arriving
\n" ); document.write( "Find the prob you are saved, assuming that smoke, bottles, and pigeons are independent. \n" ); document.write( "

Algebra.Com's Answer #776320 by ikleyn(53763) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "It is a nice problem; therefore, I edited your post to make your formulation more clear.\r
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document.write( "    A shipwreck threw you up away to inhabitant island.\r\n" );
document.write( "    You send out three messages for help:\r\n" );
document.write( "        - a smoke signal that has the probability of 0.1 of being seen;\r\n" );
document.write( "        - a message in a bottle that has the probability of 0.2 of being found, and\r\n" );
document.write( "        - a carrier pigeon that has the probability of 0.3 of arriving.\r\n" );
document.write( "    Find the probability your message will reach people and you will be saved, assuming \r\n" );
document.write( "    that these three signaling methods, smoke, bottles, and pigeons are independent.\r\n" );
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document.write( "Let's consider the complement event, that your message will not reach a resque crew.\r\n" );
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document.write( "The probability of this event is the product \r\n" );
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document.write( "    P = (1-0.1)*(1-0.2)*(1-0.3) = 0.9*0.8*0.7 = 0.504.\r\n" );
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document.write( "Therefore, the probability that your message will reach people is the complement to it, i.e.\r\n" );
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document.write( "    P' = 1 - 0.504 = 0.496.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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