1.

India and Pakistan play a series of 'n' one day matches and probability than India wins a match against Pakistan is (1)/(2) If 'n' is not fixed and series ends when any one of the team completes its 4^(th) win then probability that India wins the series is

Answer»

`(4)/(2^(7))`
`(1)/(2^(7))`
`(1)/(2)`
None

Solution :(i)REQUIRED PROBABILITY `= (1)/(2)`.
(II) Required probability `= ((1)/(2))^(3)+((1)/(2))^(4)+((1)/(2))^(4)+((1)/(2))^(4)+((1)/(2))^(4)-((1)/(2))^(7)=(47)/(2^(7))`.


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