document.write( "Question 1071807: The expected value of the numbers of heads obtained when three coins are tossed simultaneously \n" ); document.write( "

Algebra.Com's Answer #686737 by Fombitz(32388) $\"\"$ $\"About$

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There are 8 possible outcomes.
\n" ); document.write( "The distribution of heads for the eight outcomes is,
\n" ); document.write( "0H - 1
\n" ); document.write( "1H - 3
\n" ); document.write( "2H - 3
\n" ); document.write( "3H - 1
\n" ); document.write( "So the corresponding probability is,
\n" ); document.write( "0H:1/8
\n" ); document.write( "1H:3/8
\n" ); document.write( "2H:3/8
\n" ); document.write( "3H:1/8
\n" ); document.write( "The expected value is then,
\n" ); document.write( " $\"E=0%281%2F8%29%2B1%283%2F8%29%2B2%283%2F8%29%2B3%281%2F8%29\"$
\n" ); document.write( " $\"E=3%2F2\"$
\n" ); document.write( " \n" ); document.write( "

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