In a survey, 60% of people like tea, 50% like coffee, and 20% like both. What pe

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Question: In a survey, 60% of people like tea, 50% like coffee, and 20% like both. What percentage of people like either tea or coffee?

Options:

Correct Answer: 80%

Solution:

Using the principle of inclusion-exclusion, the percentage of people who like either tea or coffee is: 60% + 50% - 20% = 90%.

In a survey, 60% of people like tea, 50% like coffee, and 20% like both. What percentage of people like either tea or coffee?

In a survey, 60% of people like tea, 50% like coffee, and 20% like both. What percentage of people like either tea or coffee?

Step 1: Identify the percentage of people who like tea, which is 60%.
Step 2: Identify the percentage of people who like coffee, which is 50%.
Step 3: Identify the percentage of people who like both tea and coffee, which is 20%.
Step 4: To find the percentage of people who like either tea or coffee, use the formula: (Percentage who like tea) + (Percentage who like coffee) - (Percentage who like both).
Step 5: Plug in the numbers: 60% + 50% - 20%.
Step 6: Calculate the result: 60 + 50 = 110, then 110 - 20 = 90.
Step 7: The final answer is that 90% of people like either tea or coffee.

Inclusion-Exclusion Principle – A method used to calculate the size of the union of two sets by adding the sizes of the individual sets and subtracting the size of their intersection.