document.write( "Question 453640: In a coin collection there are 9 pennies, 8 nickels, 12 dimes, 16 quarters, 11 half-dollars and 4 dollar pieces. A coin is randomly selected from the collection by a blind folded boy who gets to keep the coin picked. What is the expected value? \n" ); document.write( "
Algebra.Com's Answer #311674 by ilana(307) ![]() You can put this solution on YOUR website! The expected value is the sum of each probability times its value. \n" ); document.write( "P(penny) = 9/60 \n" ); document.write( "P(nickel) = 8/60 \n" ); document.write( "P(dime) = 12/60 \n" ); document.write( "P(quarter) = 16/60 \n" ); document.write( "P(half-dollar) = 11/60 \n" ); document.write( "P(dollar) = 4/60 \n" ); document.write( "Expected value = 1*9/60 + 5*8/60 + 10*12/60 + 25*16/60 + 50*11/60 + 100*4/60 \n" ); document.write( "= (9 + 40 + 120 + 400 + 550 + 400)/60 \n" ); document.write( "= 1519/60 \n" ); document.write( "= approx. $25.32 \n" ); document.write( " \n" ); document.write( " |