If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what
Practice Questions
Q1
If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either apples or oranges?
35%
30%
25%
20%
Questions & Step-by-Step Solutions
If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either apples or oranges?
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 apples and oranges, which is 5%.
Step 4: To find the percentage of people who like either apples or oranges, use the formula: (percentage who like apples) + (percentage who like oranges) - (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 apples or oranges.
Inclusion-Exclusion Principle – A method used in probability and set theory to calculate the size of the union of multiple sets by including the sizes of the individual sets and excluding the sizes of their intersections.