1. The chance of India winning a cricket match against Australia is 1/6. What is the minimum number of matches India should play against Australia so that there is a fair chance of winning atleast one match?
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By: anil on 05 May 2019 02.38 am
Let the number of matches that India needs to play = $$x$$ Now, if $$1 - (frac{5}{6})^x geq frac{1}{2}$$ , we can consider that India has a fair chance of winning the match. => $$(frac{5}{6})^x leq frac{1}{2}$$ If, $$x = 3$$, we get $$frac{125}{216}$$, which is greater than $$frac{1}{2}$$ If, $$x = 4$$, we get $$frac{625}{1296}$$, which is less than $$frac{1}{2}$$
$$ herefore$$ The number of matches that India needs to play must be atleast 4
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$$ herefore$$ The number of matches that India needs to play must be atleast 4