document.write( "Question 255714: A basketball player makes 49% of his three-point shots and 68% of his free throws. If he is fouled while taking a three-point shot, he is given three free-throws. Which is greater; the expected number of points from taking a three-point shot or the expected number of points from taking three free-throws? \n" ); document.write( "
Algebra.Com's Answer #188015 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A basketball player makes 49% of his three-point shots and 68% of his free throws. \n" ); document.write( "If he is fouled while taking a three-point shot, he is given three free-throws.\r \n" ); document.write( "\n" ); document.write( "Which is greater; the expected number of points from taking a three-point shot or the expected number of points from taking three free-throws? \n" ); document.write( "----- \n" ); document.write( "Expected points from 3-point shot = 3*0.49 = 1.47 \n" ); document.write( "---------------------- \n" ); document.write( "Expected points from 3 free-throws = ? \n" ); document.write( "3(0.68)^3 \n" ); document.write( "+2[3C2(0.68)^2*(0.32) \n" ); document.write( "+1(3C1(0.68)*(0.32)^2 \n" ); document.write( "+0(0.32) = 2.04 \n" ); document.write( "--------- \n" ); document.write( "Conclusion: Take the free-throws. \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |