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

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Question: 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?

Options:

90%
100%
80%
70%

Correct Answer: 90%

Solution:

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

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

Practice Questions

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?

90%
100%
80%
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.

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

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

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