IKMC 2007 - Grades 11-12 - Self-study Question 23

Question 23

Ahmad, Nizami, and Zafar take turns throwing a die in that order, repeatedly, until someone wins. Ahmad wins on 1, 2, or 3; Nizami on 4 or 5; Zafar on 6. What is the probability that Zafar wins?

$\frac16$
$\frac18$
$\frac1{11}$
$\frac1{13}$
It is impossible for Zafar to win.