It is known that 45% of men snore an 25% of women snore. A doctor looked at these numbers and made t

Discussion in 'Calculator Requests' started by math_celebrity, Dec 3, 2022.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    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:
    • 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
     

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