Question

Lauren drinks a variety of soft drinks. Over the past​ month, she has had 19 diet​ colas, 4 cans of​ lemonade, and 5 cans of root beer. a. Given this​ history, what is the probability that her next drink will be a diet​ cola? Lemonade? Root​ beer? b. What definition of probability should be used to answer this​ question?

Answer 1

a.

Probability of Diet Cola = 19/28

Probability of Lemonade = 4/28

Probability of Root Beer = 5/28

b. Theoretical Probability

Explanation:

Given

Diet Cola = 19

Lemonade = 4

Root Beer = 5

Required

Probability the her next drink will be

- Diet Cola

- Lemonade

- Root beer

To calculate the probability of each of the above, first we need to calculate the total number of drinks she's had

Total = Diet Cola + Lemonade + Root Beer

Total = 19 + 4 + 5

Total = 28

The probability that her next drink can be any of the above can then be calculated.

This is calculated by dividing each outcome by the total; as follows;

Probability of Diet Cola = 19/28

Probability of Lemonade = 4/28

Probability of Root Beer = 5/28

This type of probability is referred to as theoretical probability because it makes predictions base on previous occurrence of events.