If 60% of students play football, 40% play basketball, and 10% play both, what p
Practice Questions
Q1
If 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either football or basketball?
90%
80%
70%
60%
Questions & Step-by-Step Solutions
If 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either football or basketball?
Step 1: Identify the percentage of students who play football, which is 60%.
Step 2: Identify the percentage of students who play basketball, which is 40%.
Step 3: Identify the percentage of students who play both sports, which is 10%.
Step 4: To find the percentage of students who play either football or basketball, add the percentage of football players (60%) to the percentage of basketball players (40%).
Step 5: Since some students play both sports, subtract the percentage of students who play both (10%) from the total you got in Step 4.
Step 6: Calculate: 60% + 40% - 10% = 90%.
Step 7: The final answer is that 90% of students play either football or basketball.
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.
