Just another die game

Ari and Brian play a sequence of independent games. Ari throws a die first and wins on a "six." If he fails, Brian throws and wins on a "five" or "six." If he fails, Ari throws and wins on a "four," "five," or "six." And so on. The probability of Ari winning the sequence is \(\color{blue}{\dfrac{a}{b}}\), where \(\large\color{blue}{a}\) and \(\large\color{blue}{b}\) are positive coprime integers. Calculate \(\large\color{blue}{a+b}\).

×

Problem Loading...

Note Loading...

Set Loading...