It is known that 45% of men snore an 25% of women snore. A doctor looked at these numbers and made the following statement:
"If you put a man and a woman together, there is a 70% chance that someone is snoring."
Explain why the doctor's math is wrong.
The doctor added the percents together: 45% + 25% = 70%.
Here's why this is incorrect:
"If you put a man and a woman together, there is a 70% chance that someone is snoring."
Explain why the doctor's math is wrong.
The doctor added the percents together: 45% + 25% = 70%.
Here's why this is incorrect:
- 45% of men snore means 100% - 45% = 55% of men do not snore
- 25% of women snore means 100% - 25% = 75% of women do not snore
- Both men and women not snoring is: 55% * 75% = 41.25% neither of them snore
- 100% - 41.25% = 58.75% somebody is snoring