Question

bill is going to watch a movie in his collection. he has 5 action movies, 4 comedies, and 3 dramas. he will randomly select one movie. what is the probability that the movie he selects is not a drama? write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate total number of movies

Total movies = \(5 + 4+3=12\)

Step2: Calculate number of non - drama movies

Non - drama movies = \(5 + 4 = 9\)

Step3: Calculate probability

Probability \(P=\frac{\text{Number of non - drama movies}}{\text{Total number of movies}}=\frac{9}{12}\)

Step4: Simplify the fraction

\(\frac{9}{12}=\frac{9\div3}{12\div3}=\frac{3}{4}\)

Answer:

\(\frac{3}{4}\)