Question

The chance of getting a particular disease sometime during your lifetime is estimated at 1 in 20.

Smoking increases the risk of developing the disease during your lifetime by 20%.

How many people out of a group of 1000 smokers would you expect to get the disease sometime during their lifetime?

Answer 1

Answer:

60 people

Step-by-step explanation:

The chance of getting a particular disease is $\frac{1}{20}$

To calculate how much the chance is increased by smoking, you have to calculate the 20% of $\frac{1}{20}$ and then perform the sum of it and the original chance

A 20% as a fractional number is $\frac{20}{100}$

Therefore the 20% of $\frac{1}{20}$ is:

$(\frac{20}{100} )(\frac{1}{20}) = \frac{1}{100}$

So, the chance of getting a particular disease sometime during the lifetime for a smoker is:

$\frac{1}{20} + \frac{1}{100} = \frac{6}{100}$

This means that every 100 smokers, 6 of them would get the disease.

You have to multiply the risk by the group of smokers to calculate how many people you would expect to get the disease:

$(1000)(\frac{6}{100}) = 60$

In conclusion, 60 people out of a group of 1000 people would get the disease.