If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what

₹0.0

Question: If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either fruit?

Options:

Correct Answer: 35%

Solution:

Using inclusion-exclusion, the percentage that likes either fruit is 25% + 15% - 5% = 35%.

If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either fruit?

If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either fruit?

Step 1: Identify the percentage of people who like apples, which is 25%.
Step 2: Identify the percentage of people who like oranges, which is 15%.
Step 3: Identify the percentage of people who like both fruits, which is 5%.
Step 4: To find the percentage of people who like either fruit, add the percentage of apple lovers (25%) to the percentage of orange lovers (15%).
Step 5: Subtract the percentage of people who like both fruits (5%) from the total obtained in Step 4 to avoid double counting.
Step 6: The calculation is 25% + 15% - 5% = 35%.
Step 7: Therefore, 35% of the population likes either apples or oranges.

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.