If 25% of a population likes chocolate, 15% likes vanilla, and 5% likes both, wh

₹0.0

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

Options:

Correct Answer: 35%

Solution:

The percentage of people who like either chocolate or vanilla is 25% + 15% - 5% = 35%.

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

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

Step 1: Identify the percentage of people who like chocolate, which is 25%.
Step 2: Identify the percentage of people who like vanilla, which is 15%.
Step 3: Identify the percentage of people who like both chocolate and vanilla, which is 5%.
Step 4: To find the percentage of people who like either chocolate or vanilla, add the percentage of chocolate lovers (25%) to the percentage of vanilla lovers (15%).
Step 5: Since some people like both flavors, subtract the percentage of people who like both (5%) from the total you got in Step 4.
Step 6: Calculate the final result: 25% + 15% - 5% = 35%.

Set Theory – The question tests the understanding of the principle of inclusion-exclusion in set theory, which is used to calculate the union of two sets.