document.write( "Question 600690: Essay; show all work. A community 5K run will award $50 to the winner. 60 people enter the race, and they each pay an entry fee of $20. Assuming they are all equally likely to win, what is a fair price for the competition? Round to the nearest cent. \n" ); document.write( "
Algebra.Com's Answer #379434 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A community 5K run will award $50 to the winner. 60 people enter the race, and they each pay an entry fee of $20. Assuming they are all equally likely to win, what is a fair price for the competition? Round to the nearest cent. \n" ); document.write( "---- \n" ); document.write( "Winning amount: $30::::Probability: 1/60 \n" ); document.write( "--- \n" ); document.write( "Losing amount: $20:::: Probabiity: 59/60 \n" ); document.write( "------ \n" ); document.write( "Expected winnings: 30(1/60) -20(59/60) = (30-20*59)/60 = -$19.17 \n" ); document.write( "------ \n" ); document.write( "Fair price to compete: 20-19.17 = 83 cents \n" ); document.write( "============================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |