SOLUTION: The English Premier League consists of 20 teams. Tottenham is currently in 8th place on the table. It has 20% chance of winning and 50% chance of losing against any team placed abo

Question 351786: The English Premier League consists of 20 teams. Tottenham is currently in 8th place on the table. It has 20% chance of winning and 50% chance of losing against any team placed above it. If a team is placed below it, Tottenham has a 50% chance of of winning and 30% chance of losing. Find the probability that Tottenham will draw its next game.
Thanks A Million in Advance ! :)
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
there are 7 teams above T , so they have a 7/19 probability of playing one of them

if they play a higher ranked team , the chance of a draw is 30%

there are 12 teams below T , so they have a 12/19 probability of playing one of them

if they play a lower ranked team , the chance of a draw is 20%

so the probability of T playing to a draw is ___ [(7/19)(.30)] + [(12/19)(.20)]

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