SOLUTION: three balls are randomly selected without replacement from a bag containing 20 balls numbered 1, 2 through 20. if we bet that at least one of the balls has a number greater than or
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-> SOLUTION: three balls are randomly selected without replacement from a bag containing 20 balls numbered 1, 2 through 20. if we bet that at least one of the balls has a number greater than or
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Question 333173: three balls are randomly selected without replacement from a bag containing 20 balls numbered 1, 2 through 20. if we bet that at least one of the balls has a number greater than or equal to 17 what is the propability that we will win the bet Answer by jrfrunner(365) (Show Source):
You can put this solution on YOUR website! let x=number of balls whose number is >= 17
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we want
in a sample without replacement
P(X>=1) = 1-P(x=0) (Getting at least one is the same as the complement of getting none)
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P(x=0)=P(all 3 are numbered <17) =
P(X>=1)=1-0.491=0.509
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This could also be solved as