Question

Data collected from Cape Town shows that

60% of drivers are above 30 years old. 5% of
all the drivers over 30 will be prosecuted for a
driving offence during a year, compared with
10% of drivers aged 30 or younger.)If a driver
has been prosecuted, what is the probability
they are 30 or younger?​

Answer 1

4%

Explanation:

We know that 60% of drivers are over 30 years old and 5% of the 60% will be prosecuted for driving offence during the year. We know that 40% are 30 years and younger and 10% of that 40% will be prosecuted. The possibility of a driver 30 and younger being prosectued is:

`=0.4\cdot{0.1}=0.04`

Therefore the probability is 4%