Question

the table shows the ages of people attending three different movies in a movie theater. the manager is going to randomly select one person to win a free movie pass. what is the probability that the person selected is older than 20 years old and watching the drama movie? round the answer to the nearest hundredth. enter the answer in the box.

Explanation:

Step1: Calculate total number of people

Add up all the values in the table: $12 + 20+8 + 20+20 + 0+19+10+9=118$.

Step2: Calculate number of people older than 20 watching drama

Add the number of people between 20 - 40 and over 40 watching drama: $20 + 19=39$.

Step3: Calculate the probability

Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{39}{118}\approx 0.33$.

Answer:

$0.33$