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Q.

The probability that Australia wins a match against India in a cricket game is given to be 13 . If India and Australia play 3 matches, what is the probability that

i)   Australia will loose all the three matches?
ii)   Australia will win atleast one match?

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Detailed Solution

P(A)=P(Australia wins a match against India)

=1/3

i)    probability of Australia will loose all 3 matches

=(P(A¯))3=233=827

ii) P (Australia will win at least one match)

=1−P (Australia will loose all three matches) 

=1−827=1927

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