A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like

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What’s inside this PDF?

Question: A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?

Options:

100%
90%
80%
70%

Correct Answer: 80%

Solution:

Using inclusion-exclusion, the percentage of people who like either flavor is 70% + 50% - 20% = 100%.

A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like

Practice Questions

A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?

100%
90%
80%
70%

Questions & Step-by-Step Solutions

A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?

Step 1: Identify the percentage of people who like chocolate, which is 70%.
Step 2: Identify the percentage of people who like vanilla, which is 50%.
Step 3: Identify the percentage of people who like both chocolate and vanilla, which is 20%.
Step 4: To find the percentage of people who like either chocolate or vanilla, use the formula: (Percentage who like chocolate) + (Percentage who like vanilla) - (Percentage who like both).
Step 5: Plug in the numbers: 70% + 50% - 20%.
Step 6: Calculate the result: 70 + 50 = 120, then 120 - 20 = 100.
Step 7: The final answer is that 100% of people like either chocolate or vanilla.

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.

A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like

What’s inside this PDF?

A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like

Practice Questions

Questions & Step-by-Step Solutions

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