If 70% of students in a school play cricket, 50% play football, and 20% play bot

If 70% of students in a school play cricket, 50% play football, and 20% play both, what percentage of students play either cricket or football?

If 70% of students in a school play cricket, 50% play football, and 20% play both, what percentage of students play either cricket or football?

Step 1: Identify the percentage of students who play cricket, which is 70%.
Step 2: Identify the percentage of students who play football, which is 50%.
Step 3: Identify the percentage of students who play both cricket and football, which is 20%.
Step 4: To find the percentage of students who play either cricket or football, use the formula: (Percentage of cricket players) + (Percentage of football players) - (Percentage of 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 students play either cricket or football.

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.