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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?

Respuesta :

Answer:

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