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

Practice Questions

Q1
If 60% of students play cricket, 40% play football, and 10% play both, what is the percentage of students who play either cricket or football?
  1. 90%
  2. 100%
  3. 80%
  4. 70%

Questions & Step-by-Step Solutions

If 60% of students play cricket, 40% play football, and 10% play both, what is the percentage of students who play either cricket or football?
  • Step 1: Identify the percentage of students who play cricket, which is 60%.
  • Step 2: Identify the percentage of students who play football, which is 40%.
  • Step 3: Identify the percentage of students who play both cricket and football, which is 10%.
  • Step 4: To find the percentage of students who play either cricket or football, add the percentage of cricket players (60%) to the percentage of football players (40%).
  • Step 5: Since some students play both sports, subtract the percentage of students who play both (10%) from the total obtained in Step 4.
  • Step 6: Calculate: 60% + 40% - 10% = 90%.
  • Step 7: The final answer is that 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.
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