The probability that India wins a cricket test match against Australia is given to be 1/3 . If India and Australia play a league of 5 tests matches, what is the probability that (a) India will lose all the three test matches. (b) India will win the league. (c) India will win the league, if India lose first two matches. (d) India lose league, if India wins the first two matches. (e) How many matches we can expect to won by Australia.
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Step-by-step explanation:
The probability that India will not win any game =
3
2
×
3
2
×
3
2
=
27
8
The probability that India will win atleast 1 game =1−the probability that India will not win any game =1−
27
8
=
27
19
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