What a game!

Probability Level 2

Two players, Nihar and I, are playing a game in which we alternate tossing a fair coin and the first player to get a head wins. Given that I toss first, the probability that Nihar wins the game is αβ\dfrac{\alpha}{\beta}, where α\alpha and β\beta are coprime positive integers.

Find α+β\alpha + \beta.

×

Problem Loading...

Note Loading...

Set Loading...