Question

The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies. Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?

Answer 1

Answer:

A reasonable estimate of the probability is equal to $0.1389$   or  $13.89\%$

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

$P=\frac{x}{y}$

In this problem we have

$x=15$

$y=108$

substitute

$P=\frac{15}{108}=0.1389$

Convert to percentage

$0.1389*100=13.89\%$