Final answer:
The probability that Jose selects a movie that is not a comedy is 2/3, which is calculated by dividing the number of non-comedy movies (8) by the total number of movies in his collection (12).
Step-by-step explanation:
The student has asked about calculating the probability of an event not occurring in a given situation. In this case, Jose is trying to determine the probability that the movie he selects is not a comedy. The probability of an event is found by dividing the number of ways the event can occur by the total number of possible outcomes.
To find the probability that Jose does not select a comedy, we first determine the total number of movies in his collection, which is the sum of action movies, comedies, and dramas (3 + 4 + 5 = 12 movies in total).
Next, we find the number of movies that are not comedies (3 action movies + 5 drama movies = 8 non-comedy movies).
Therefore, the probability that Jose selects a movie that is not a comedy is the number of non-comedy movies divided by the total number of movies, which is 8/12. This can be simplified to 2/3 when we divide both numerator and denominator by 4.
Thus, the probability that the movie Jose selects is not a comedy is 2/3.