If 60% of students play cricket, 40% play football, and 10% play both, what perc

₹0.0

Question: If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play either cricket or football?

Options:

Correct Answer: 80%

Solution:

Using inclusion-exclusion, the percentage of students who play either cricket or football is: 60% + 40% - 10% = 90%.

If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play either cricket or football?

If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play either cricket or football?

Step 1: Understand that 60% of students play cricket.
Step 2: Understand that 40% of students play football.
Step 3: Understand that 10% of students play both cricket and football.
Step 4: To find the percentage of students who play either cricket or football, we need to add the percentages of students who play cricket and football.
Step 5: Add the percentage of cricket players (60%) and football players (40%). This gives us 60% + 40% = 100%.
Step 6: Since 10% of students are counted in both cricket and football, we need to subtract this overlap from the total we calculated in Step 5.
Step 7: Subtract the percentage of students who play both (10%) from the total (100%). This gives us 100% - 10% = 90%.
Step 8: Therefore, 90% of students play either cricket or football.

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.