The table shows the beverage preferences of 50 shoppers at the mall.
Beverage Survey
Beverage Number of
Shoppers
A
15
B
12
с
9
D
6
E
8
a. Write a probability distribution of the experiment.
b. Based on your distribution, what is the probability that one shopper, selected at random prefers either Beverage A or
Beverage C?
a. a.
Outcome A B С D E
Probability 0.3 0.24 0.18 0.12 0.16
b. 0.52
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Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

We are looking for the probability that one shopper, selected at random prefers either Beverage A or Beverage C.

a. A probability distribution of the experiment.

The probability of selecting Beverage A is ;

P(A) = 15/50 = 0.3

The probability of selecting Beverage B is ;

P(B) = 12/50 = 0.24

The probability of selecting Beverage C is ;

P(C) = 9/50 = 0.18

The probability of selecting Beverage D is ;

P(D) = 6/50 = 0.12

The probability of selecting Beverage E is ;

P(E) = 8/50 = 0.16

b. The probability that one shopper, selected at random prefers either Beverage A or Beverage C.

P(A or C) = 15/50 + 9/50

P(A or C) = 24/50

Thus, P(A or C) = 12/25

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