Question 14
A dancer is allowed to step on only one of the following tiles: 1 blue, 1 green, 2 red, 2 orange and 3 grey. The grey tiles are sticky and make the dancer stop dancing. If the chance of getting stuck on the very first step is $m/n$, find $m+n$.
**Assumptions for this self-study exercise:** Each of the nine tiles is equally likely to be chosen, and $m/n$ is written in lowest terms with positive whole-number numerator and denominator. The original question does not state these conditions.
Enter one whole number, without units.
**Assumptions for this self-study exercise:** Each of the nine tiles is equally likely to be chosen, and $m/n$ is written in lowest terms with positive whole-number numerator and denominator. The original question does not state these conditions.
Enter one whole number, without units.