Kiran is deciding whether to visit Russia or Ukrain for the holidays. She makes her decision by rolling a regular 6-sided die. If she gets 1 or 2 she goes to Ukrain, if she rolls a 3, 4 or 5 she goes to Russia. If she rolls a 6 she rolls again. If the probability that she goes to Ukrain is p, then 5p is

On each roll, the probability that Kiran decides to go to Russia is  $\frac{3}{2}$ times the probability she decides to go to Ukraine, so the total probability that she goes to Russia is  $\frac{3}{2}$ times the total probability that she goes to Ukraine. Since the total probability is 1(they are the only two eventual outcomes) Kiran goes to Ukraine with probability  $\frac{2}{5}$ and Russia with probability  $\frac{3}{5}.$