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

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?

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.