document.write( "Question 714893: 1.Roll two six-sided dice. Add the face values together. \n" );
document.write( "2.Choose whether to roll the dice again or pass the dice to your opponent. \n" );
document.write( "3.If you pass, then write down your current total. If you roll again, then add your result to your previous score. \n" );
document.write( "4.Continue to roll as much as you want. However, once a 1 comes up on either die, your score is reduced to 0 and you must pass the dice to your opponent. \n" );
document.write( "4. Continue to roll as much as you want. However, once a 1 comes up on either die, your score is reduced to 0 and you must pass the dice to your opponent. \r \n" );
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document.write( "The first person to 100 points is the winner. To help with the probabilities and averages in this problem, you may want to write down all the possible outcomes. \n" );
document.write( "P(A): ? \n" );
document.write( "P(B): ? \r \n" );
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document.write( "Looking at your table above, what is the mean value of a successful roll???? \n" );
document.write( "What is the value added to your score when you have a failed roll? ???/\r \n" );
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document.write( "Strategy: Roll once then pass \n" );
document.write( "P(successfully rolling once): \n" );
document.write( "P(failure): \n" );
document.write( "Points for one successful roll: \n" );
document.write( "Expected value:\r \n" );
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document.write( "Strategy: Roll twice then pass \n" );
document.write( "P(successfully rolling once): \n" );
document.write( "P(failure): \n" );
document.write( "Points for one successful roll: \n" );
document.write( "Expected value:\r \n" );
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document.write( "Strategy: Roll three times then pass \n" );
document.write( "P(successfully rolling once): \n" );
document.write( "P(failure): \n" );
document.write( "Points for one successful roll: \n" );
document.write( "Expected value:\r \n" );
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document.write( "Strategy: Roll four times then pass \n" );
document.write( "P(successfully rolling once): \n" );
document.write( "P(failure): \n" );
document.write( "Points for one successful roll: \n" );
document.write( "Expected value:\r \n" );
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document.write( "Strategy: Roll five times then pass \n" );
document.write( "P(successfully rolling once): \n" );
document.write( "P(failure): \n" );
document.write( "Points for one successful roll: \n" );
document.write( "Expected value:\r \n" );
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document.write( "Which strategy would you use? Why? \r \n" );
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