Final answer:
The probability that a customer rents a horror or mystery movie is calculated by adding the number of horror and mystery movies together and then dividing by the total number of movies available. The probability is 0.299 when rounded to three decimal places.
Step-by-step explanation:
To find the probability that a person selects either a horror or mystery movie from the rental store, we must add the number of horror movies to the number of mystery movies, then divide by the total number of movies available. The formula for this probability, P(A or B), where A is the horror category, and B is the mystery category, is given by:
P(A or B) = (Number of A + Number of B) / Total Number of movies
Using the figures provided:
- Number of horror movies = 168
- Number of mystery movies = 116
- Total number of movies = 168 (horror) + 222 (drama) + 116 (mystery) + 310 (romance) + 134 (comedy)
The total number of movies is therefore 168 + 222 + 116 + 310 + 134 = 950.
So the probability that a person rents either a horror or mystery movie is:
P(horror or mystery) = (168 + 116) / 950
P(horror or mystery) = 284 / 950
P(horror or mystery) = 0.299 (rounded to three decimal places)
Thus, the probability that a customer rents a horror or mystery movie is 0.299 when rounded to three decimal places.