When calculating the experimental probability, we are comparing the number of times the event occurs to the number of times the experiment is done.This is very similar to the Probability Formula.
P=Times the Event Occurs/Times the Experiment Is Done
We are given a table with information about the age of the customers.
Age
Frequency
0 - 7
13
8 - 12
28
13 - 17
48
18 - 23
42
24 - 31
27
32 - 45
40
46 - 64
33
65+
23
We want to find the experimental probability of randomly selecting a customer who is older than 12 but younger than 46. To do so, we will calculate the number of possible outcomes, which is the sum of the frequency values.
13 + 28 + 48 + 42 + 27+ 40 + 33 + 23 = 254
Let's now calculate the number of customers that are older than 12 and younger than 46.
48+ 42+ 27+ 40= 157
We found out that there are 157 customers of the desired age, which is the number of favorable outcomes.
Now we have enough information to calculate the desired probability.
The probability of selecting a customer who is older than 12 but younger than 46 is 157254, which can also be written as 157:254. This corresponds to answer B.
