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...