Lauren drinks a variety of soft drinks. Over the past month, she has had 1616 diet colas, 44 cans of lemonade, and 66 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?

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Ryleigh Hamilton

10 March, 19:56

Lauren drinks a variety of soft drinks. Over the past month, she has had 1616 diet colas, 44 cans of lemonade, and 66 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?

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Trent Roman · Answer 1

P (Diet Cola) = P (D) = 0.9363

P (Lemonade) = P (L) = 0.0255

P (Root Bear) = P (R) = 0.0382

Explanation:

Let we call Diet Colas as D = 1616

Lemonade as L = 44

Root beer as R = 66

Total sample space size = Sum of all of three = D + L + R

Total Sample Space Size = 1616 + 44 + 66

Total Sample Space Size = 1726

Definition of Probability:

Probability is a chance of happening of some event which is calculated by using the following formula:

Probability of happening of some event A = No. of times event A has occurred divided by the total number of events

Therefore we have:

P (D) = 1616/1726 = 0.9363

P (L) = 44/1726 = 0.0255

P (R) = 66/1726 = 0.0382