Question 336667: Each day, two out of the three teams in a class are randomly selected to participate in a MATHCOUNTS trial competition. What is the probability that Team A is selected on at least two of the next three days? Express your answer as a common fraction.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Each day, two out of the three teams in a class are randomly selected to participate in a MATHCOUNTS trial competition. What is the probability that Team A is selected on at least two of the next three days? Express your answer as a common fraction.
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P(A is selected on a particular day) = 1-P(A is not selected)
= 1-{[2C2]/[3C2]}
= 1 - 1/3
= 2/3
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Then, p(2<= x <=3) = 1- binomcdf(3,2/3,1) = 0.7407 = 20/27
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cheers,
Stan H.
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