document.write( "Question 1180270: Purple is 1/4 of the wheel, Cyan is 2/5 and the rest of the wheel is Fuscia. If you land on purple you win $40, Cyan you win $11 and otherwise you win nothing. The game costs $17 to play. What is your expected value per play (after you pay the cost to play)? \n" ); document.write( "
Algebra.Com's Answer #809897 by greenestamps(13216) You can put this solution on YOUR website! \n" ); document.write( "P(purple)=0.25 \n" ); document.write( "P(cyan)=0.40 \n" ); document.write( "P(fuschia)=1-(0.25+0.40)=1-0.65=0.35 \n" ); document.write( "expected value for purple: 0.25(-17+40)=0.25(23)=+5.75 \n" ); document.write( "expected value for cyan: 0.40(-17+11)=0.40(-6)=-2.40 \n" ); document.write( "expected value for fuschia: 0.35(-17+0)=0.35(-17)=-5.95 \n" ); document.write( "expected value per play: 5.75-2.4-5.95 = -2.6 \n" ); document.write( " \n" ); document.write( " |