Question

At a used movie sale, 52 movies are cartoons and 67 movies are not cartoons. Of thecartoons, 14 are musicals, while 24 of the non-cartoons are musicals. If a movie is selectedat random, find the probability that it is not a musical cartoon.Round your answer to three decimal places.

Answer 1

At a used movie sale:

Cartoons: 52

Not cartoons: 67

Total: 52 + 67 = 119

Of the cartoons (52):

Musicals: 14

Not musical: 52 - 14 = 38

Of the non-cartoons (67):

Musicals: 24

Not musical: 67 - 24 = 43

By selecting at random, the probability that the movie selected is not a musical cartoon is:

P(not musical cartoon) = (# of no musical cartoons) / (total # of movies)

But:

# of no musical cartoons = Total - (# of musical cartoons) = 119 - 14 = 105

Then:

P(not musical cartoon) = (105) / (119) = 0.88235...

To three decimal places, the answer is:

P(not musical cartoon) = 0.882