document.write( "Question 1188499: Let X represent the difference between the number of heads and the number of tails when a coin is tossed 41 times. Then P(X=11)= \n" ); document.write( "
Algebra.Com's Answer #819606 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Let X represent the difference between the number of heads and the number of tails \n" ); document.write( "when a coin is tossed 41 times. Then P(X=11)= \n" ); document.write( "~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is very nice, slightly tangled probability problem.\r \n" ); document.write( "\n" ); document.write( "I solved it (a TWIN version) once at this forum; see my lesson\r \n" ); document.write( "\n" ); document.write( " - Challenging problems on Binomial distribution probability \r \n" ); document.write( "\n" ); document.write( "(Problem 1) in this site. So, it is the second time I meet this problem at the forum . . . \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let H be the number of heads and T be the number of tails.\r\n" ); document.write( "\r\n" ); document.write( "Then we have these two equations\r\n" ); document.write( "\r\n" ); document.write( " H + T = 41\r\n" ); document.write( "\r\n" ); document.write( " H - T = 11\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We solve this system elementary, using elimination method, and we get H =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |