document.write( "Question 1137288: Here's my​ dilemma, I can accept a ​$ 1500 bill or play a game ten times. For each roll of the single​ die, I win ​$700 for rolling 1 or​ 2; I win ​$400 for rolling​ 3; and I lose ​$600 for rolling​ 4, 5, or 6. Based on the expected​ value, I should accept the ​$1500 bill.\r
\n" ); document.write( "\n" ); document.write( "A.
\n" ); document.write( "The statement does not make sense because the expected value after ten rolls is ____dollars, which is greater than the value of the current bill.\r
\n" ); document.write( "\n" ); document.write( "B.The statement makes sense because the expected value after ten rolls is ___ ​dollars, which is less than the value of the current bill. \n" ); document.write( "
Algebra.Com's Answer #755147 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
For a fair die, the Probability(P) of rolling a number is 1/6
\n" ); document.write( ":
\n" ); document.write( "P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
\n" ); document.write( ":
\n" ); document.write( "P (rolling a 3) = 1/6
\n" ); document.write( ":
\n" ); document.write( "P (rolling 4 or 5 or 6) = 3/6 = 1/2
\n" ); document.write( ":
\n" ); document.write( "Expected value on 1 roll of die is 700(1/3) +400(1/6) -600(1/2) = 0
\n" ); document.write( ":
\n" ); document.write( "Expected value is linear so if you roll the die 10 times, expected value is 0 * 10 = 0
\n" ); document.write( ":
\n" ); document.write( "Answer is B
\n" ); document.write( ":\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );