Answer:
5/36 (I won't repeat it 3 times :-) )
Explanation:
We just have to calculate the ratio of times an action movie played in the las year, that should be a good indication of the chances for an action movie to be played next, since the reference data is quite large. We're talking about a full year, no just a week or a month.
So, 15 action movies out of 108 movies...
The probability that next movie is an action movie is: 15 / 108 , or 5/36
That's roughly 1/7.