Question

29. 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 1

20/27

Explanation:

P(Team A being chosen for 1 day) = 2/3

P(Team A being chosen for 2 days) = 2/3*2/3 = 4/9

P(Team A being chosen for 3 days) = 4/9*2/3 = 8/27

8/27 + 4/9 = 20/27