If 60% of students like reading fiction, 40% like reading non-fiction, and 10% l

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Question: If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like at least one genre?

Options:

90%
100%
80%
70%

Correct Answer: 90%

Solution:

Using inclusion-exclusion, the percentage is 60% + 40% - 10% = 90%.

If 60% of students like reading fiction, 40% like reading non-fiction, and 10% l

Practice Questions

If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like at least one genre?

90%
100%
80%
70%

Questions & Step-by-Step Solutions

If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like at least one genre?

Step 1: Identify the percentage of students who like fiction, which is 60%.
Step 2: Identify the percentage of students who like non-fiction, which is 40%.
Step 3: Identify the percentage of students who like both genres, which is 10%.
Step 4: To find the percentage of students who like at least one genre, use the inclusion-exclusion principle.
Step 5: Add the percentage of fiction lovers (60%) and the percentage of non-fiction lovers (40%).
Step 6: Subtract the percentage of students who like both genres (10%) from the total obtained in Step 5.
Step 7: Calculate: 60% + 40% - 10% = 90%.
Step 8: Conclude that 90% of students like at least one genre.

Inclusion-Exclusion Principle – A method used to calculate the size of the union of two or more sets by including the sizes of the individual sets and excluding the sizes of their intersections.

If 60% of students like reading fiction, 40% like reading non-fiction, and 10% l

What’s inside this PDF?

If 60% of students like reading fiction, 40% like reading non-fiction, and 10% l

Practice Questions

Questions & Step-by-Step Solutions

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