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Direction : Study the following information and answer the questions that follow:
In a bilateral cricket series between India and Australia, the probability that India wins the first game is 0.4. If India wins any game, the probability that it wins the next game is 0.3; otherwise the probability is 0.2.
Find the probability that India wins at least one of the first two games.
0.48
0.32
0.56
0.52
0.58
P(won at least 1 game)= 1- P(won no games) =1- [P(lost 1st game)*P(lost second game)] =1- [(1-0.4)*(1-0.2)] (0.2) in the second bracket
because after losing the first game the probability of wining the second match is 0.2.
So 1-0.2 is the probability of losing that game too.
Hence, option 4 is the correct answer.
By: Amit Kumar ProfileResourcesReport error
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