Question

the table shows the ages of people attending three different movies in a movie theater.

	under 20	between 20 and 40	over 40
comedy	16	11	1
drama	10	15	9

the manager is going to randomly select one person to win a free movie pass.
what is the probability that the person selected is watching the drama movie? round the answer to the nearest hundredth. enter the answer in the box.

Explanation:

Step1: Calculate total number of people

First, find the total number of people attending all movies. Add up all the values in the table: $(8 + 5+12)+(16 + 11+1)+(10 + 15+9)=25 + 28+34 = 87$.

Step2: Calculate number of people watching drama

Next, find the number of people watching the drama movie. Add the values in the drama - row: $10 + 15+9=34$.

Step3: Calculate probability

The probability $P$ that a randomly - selected person is watching the drama movie is the number of people watching drama divided by the total number of people. So $P=\frac{34}{87}\approx0.39$.

Answer:

$0.39$