If 25% of a population likes reading, 15% likes writing, and 5% likes both, what

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Question: If 25% of a population likes reading, 15% likes writing, and 5% likes both, what percentage likes either reading or writing?

Options:

Correct Answer: 35%

Solution:

Using inclusion-exclusion, the percentage of people who like either activity is: 25% + 15% - 5% = 35%.

If 25% of a population likes reading, 15% likes writing, and 5% likes both, what percentage likes either reading or writing?

If 25% of a population likes reading, 15% likes writing, and 5% likes both, what percentage likes either reading or writing?

Step 1: Identify the percentage of people who like reading, which is 25%.
Step 2: Identify the percentage of people who like writing, which is 15%.
Step 3: Identify the percentage of people who like both reading and writing, which is 5%.
Step 4: To find the percentage of people who like either reading or writing, use the formula: (Percentage who like reading) + (Percentage who like writing) - (Percentage who like both).
Step 5: Plug in the numbers: 25% + 15% - 5%.
Step 6: Calculate the result: 25 + 15 = 40, then 40 - 5 = 35.
Step 7: The final answer is that 35% of the population likes either reading or writing.

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.