You play the following game with three fair dice. (When each one is rolled, any one of the outcomes $1,2,3,4,5,6$ is equally likely.) In the first round, you roll all three dice. You remove every die that shows 6. If any dice remain, you roll all the remaining dice again in the second round. Again you remove all dice showing 6 and continue. Questions (29) Let the probability that you are able to play the second round be $\frac { a } { b }$, where $a$ and $b$ are integers with $\gcd = 1$. Write the numbers $a$ and $b$ separated by a comma. (30) Let the probability that you are able to play the second round but not the third round be $\frac { c } { d }$ where $c$ and $d$ are integers with $\gcd = 1$. Write only the integer $c$ as your answer.
You play the following game with three fair dice. (When each one is rolled, any one of the outcomes $1,2,3,4,5,6$ is equally likely.) In the first round, you roll all three dice. You remove every die that shows 6. If any dice remain, you roll all the remaining dice again in the second round. Again you remove all dice showing 6 and continue.
\textbf{Questions}
(29) Let the probability that you are able to play the second round be $\frac { a } { b }$, where $a$ and $b$ are integers with $\gcd = 1$. Write the numbers $a$ and $b$ separated by a comma.\\
(30) Let the probability that you are able to play the second round but not the third round be $\frac { c } { d }$ where $c$ and $d$ are integers with $\gcd = 1$. Write only the integer $c$ as your answer.