document.write( "Question 1200086: Five fair coins were tossed simultaneously. What is the probability of getting three heads and two tails?
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Algebra.Com's Answer #834114 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " In this problem, the formulation is NOT CONSISTENT with the answers list.\r
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\n" ); document.write( "\n" ); document.write( "As the post is worded, printed, and presented, its context means that the order of the three heads and two tails
\n" ); document.write( "is arbitrary. We can not make other assumptions.\r
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\n" ); document.write( "\n" ); document.write( "If the order is special, it MUST be pointed in the problem explicitly.\r
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\n" ); document.write( "\n" ); document.write( "Without special pointing, the meaning of the post is UNIQUE, by default: the order is $\"highlight%28highlight%28arbitrary%29%29\"$ .\r
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document.write( "If so, then this problem is a typical binomial distribution \r\n" );
document.write( "with the number of trials n=5; the number of success k=3 (head);\r\n" );
document.write( "and the probability of the individual success p = .\r\n" );
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document.write( "Then the probability under the problem question is\r\n" );
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document.write( "    P = P(n=5; k=3; p=0.5) =  =  = .    ANSWER  (which is not in the answers list).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Again: as written, the problem admits only one interpretation, regarding the order: the order is ARBITRARY.\r
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\n" ); document.write( "\n" ); document.write( "If you want interpret in different way, then the wording must be changed adequately .\r
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\n" ); document.write( "\n" ); document.write( " It is a standard rule in Math, interpreting texts by default:\r
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\n" ); document.write( "\n" ); document.write( "By default, we assume the weakest assumption (which in this case is arbitrary ordering).\r
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\n" ); document.write( "\n" ); document.write( "Everything which is more special than weakest, must be specified explicitly.\r
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