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The probability that Australia wins a match against. India in a cricket match is 1/3. India and Australia plays 3 matches
Statement – I : The probability that Australia wins atleast one match is 4/27
Statement – II : The probability that Australia looses all the three matches is 8/27
Which of the above statements is correct

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I only

II only

both I and II

neither I nor II

answer is B.

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Detailed Solution

I : Required probability = $1 - {(\frac{2}{3})}^{3} = 1 - \frac{8}{27} = \frac{19}{27}$
II : Required probability = $\frac{8}{27}$

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