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

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What’s inside this PDF?

Question: 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?

Options:

100%
90%
80%
70%

Correct Answer: 90%

Solution:

Using inclusion-exclusion, the percentage of students who play either cricket or football is 70% + 50% - 20% = 100%.

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

Practice Questions

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?

100%
90%
80%
70%

Questions & Step-by-Step Solutions

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.

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

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

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