document.write( "Question 976608: In a series of 5 games to be played between 2 equally matched teams, the first
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document.write( "team to win 3 games becomes the champion. Team A has won the first game. The
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document.write( "probability that team A will be the champion is ?\r
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document.write( "Is 3/5 incorrect?
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document.write( "Since there are 5 games, Team A won the first game. There are 4 more games left. Two more games till Team A wins or three more games till Team B wins. So obviously the probability of Team A winning is higher than Team B winning. \n" );
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Algebra.Com's Answer #598160 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In a series of 5 games to be played between 2 equally matched teams, the first \n" ); document.write( "team to win 3 games becomes the champion. Team A has won the first game. The \n" ); document.write( "probability that team A will be the champion is ? \n" ); document.write( "Is 3/5 incorrect? \n" ); document.write( "------ \n" ); document.write( "Binomial Problem with n = 5 and p(win) = 0.5 \n" ); document.write( "----- \n" ); document.write( "P(A wins 2 of 4) = 4C2*0.5^2*0.5^2 = 6*0.25^2 = 0.375 = 3/8 \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |