Question

7. The table below shows the soft drinks preferences of people in two age groups.
Sprite
Lemonade
20
30
50
Under 21 years of age
Between 21 and 40
Totals
25
35
60
If one of the 110 subjects is randomly selected, find the probability that:
a) A person prefers to drink sprite
b) A person is between 21 and 40 years old.
c) A person drinks lemonade given they are between 21 and 40.
d) A person drinks Sprite given they are under 21 years of age.
Totals
45
65
110?

Answer 1

Using it's concept, the probabilities are given as follows:

a) 0.5455 = 54.55%.

b) 0.5909 = 59.09%.

c) 0.4615 = 46.15%.

d) 0.5556 = 55.56%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

Out of 110 people, 60 prefer sprite, hence the probability is:

p = 60/110 = 0.5455 = 54.55%.

Item b:

Out of 110 people, 65 are between 21 and 40, hence the probability is:

p = 65/110 = 0.5909 = 59.09%.

Item c:

65 people are between 21 and 40, and of those, 30 drink lemonade, hence the probability is:

p = 30/65 = 0.4615 = 46.15%.

Item d:

45 people are under 21 years of age, and of those, 25 drink sprite, hence the probability is:

p = 25/45 = 0.5556 = 55.56%.

More can be learned about probabilities at https://brainly.com/question/14398287

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