Question

Employees at an office were surveyed about what types of hot beverages they drank that day. It was found that 50% of them drank coffee and 25% drank tea. The survey showed that 10% of the employees drank both coffee and tea.

For these employees, are events "drank coffee" and "drank tea" mutually exclusive?
Choose one answer: Yes or No?
Find the probability that a randomly selected person from this group drank coffee OR drank tea?

Answer 1

No.

0.65 or 65%

Answer 2

65%

Explanation:

No, the events "drank coffee" and "drank tea" are not mutually exclusive, as there are 10% of employees drank both coffee and tea.

If there are 50% drank coffee and 10% of them enjoy both, then there are 40% of the employees enjoy only coffee.

Similarly, there are 15% of employees who only enjoy tea.

Then the probability of selecting a person who only enjoy tea or coffee is

40% + 15% = 65%