Question : In a game a coin is tossed 2n+m times and a player wins if he does not get any two consecutive outcomes same for atleast 2n times in a row. The probability that player wins the game is
(A) \dfrac{m+2}{2^{2n}+1}
(B) \dfrac{2n+2}{2^{2n}}
(C) \dfrac{2n+2}{2^{2n+1}}
(D) \dfrac{m+2}{2^{2n}}
Answer : option (D)
Solution :
