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

March 30, 2022

by Ezee_Notes

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Maths Problems

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) $\dfrac{2n+2}{2^{2n}}$

(D) $\dfrac{m+2}{2^{2n}}$

Answer : option (D)

Solution :

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