document.write( "Question 63779: Kindly assist.\r
\n" ); document.write( "\n" ); document.write( "A game of chance consist of tossing 3 coins one . For every head that shows up one gain $ 300 and $ losses $ 200 for each tail that appears .\r
\n" ); document.write( "\n" ); document.write( "a) Determine the expected value of the game
\n" ); document.write( "b) Dtermin the Standard deviation of the game
\n" ); document.write( "c) It is prudent for one to play the game ?
\n" ); document.write( "

Algebra.Com's Answer #44484 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A game of chance consist of tossing 3 coins one . For every head that shows up one gain $ 300 and $ losses $ 200 for each tail that appears .
\n" ); document.write( "a) Determine the expected value of the game
\n" ); document.write( "b) Dtermin the Standard deviation of the game
\n" ); document.write( "c) It is prudent for one to play the game ?
\n" ); document.write( "-----------------
\n" ); document.write( "a)List the possible tossing results:
\n" ); document.write( "HHH,HHT,HTH,HHT,HTT,THT,TTH,TTT
\n" ); document.write( "Each has probability 1/8
\n" ); document.write( "List the corresponding \"pay\" value of each:
\n" ); document.write( "900,400,400,400,-100,-100,-100,-600
\n" ); document.write( "Multiply each \"pay\" value by its corresponding probability
\n" ); document.write( "then add the result to get the expected value:
\n" ); document.write( "Expected Value = 1200/8=$150
\n" ); document.write( "b)I'll have to get back to this
\n" ); document.write( "c)Yes it's prudent since the expected win is $150
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );