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

The calculated probabilities are

• 0.5455

• 0.5909
• 0.4615

• 0.5556

a. The probability of the people that prefer sprite is

Probability = 60/110

= 0.5455

B. The probability that a person is between 21 and 40

probability = 65/110

= 0.5909

C. Probability of drinking lemonade given that age is between 21 and 40

Probability = 30/65

= 0.4615

d. Probability of sprite when under 21

25/45

= 0.5556

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