document.write( "Question 483897: the probability that a bullet fired from a point will hit the target is 1/3. Three such bullets are fired simultaneously towards the target from that very point. What is the probability that the target will be hit? \n" ); document.write( "

Algebra.Com's Answer #852370 by ikleyn(52946) $\"\"$ $\"About$

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\n" ); document.write( "The probability that a bullet fired from a point will hit the target is 1/3.
\n" ); document.write( "Three such bullets are fired simultaneously towards the target from that very point.
\n" ); document.write( "What is the probability that the target will be hit?
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\n" ); document.write( "\n" ); document.write( "        For this problem, and for many other similar problems, there a standard way to teach\r
\n" ); document.write( "\n" ); document.write( "        and a standard way to get a simple, short, elegant and educatively valued solution,\r
\n" ); document.write( "\n" ); document.write( "        which I place below.\r
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document.write( "The probability to hit the target with one bullet is 1/3.\r\n" );
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document.write( "Hence, the probability do not hit the target with one bullet is 1 - 1/3 = 2/3.\r\n" );
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document.write( "Therefore, the probability do not hit the target with three bullets is {2/3)^3 = 8/27.\r\n" );
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document.write( "It means that the probability that the target will be hit by at least one of the bullets\r\n" );
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document.write( "is the complement to 8/27, i.e.  1 - 8/27 = 19/27.\r\n" );
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document.write( "At this point, the problem is just solved completely.\r\n" );
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document.write( "ANSWER.  The probability that the target will be hit is 19/27.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "You should know this method.\r
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\n" ); document.write( "\n" ); document.write( "It is how this problem is expected to be solved.\r
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\n" ); document.write( "\n" ); document.write( "It is what your teacher does expect from you.\r
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