Question

A survey found that in a city, 18% of the population owned cars, 24% of thepopulation owned motorcycles, and 6% of the population owned both a car and amotorcycle. Find the probability that a randomly chosen member of the populationowns a car or a motorcycle.0.360.310.28O 3.0

Answer 1

The population owned cars are ,

`P(C)=0.18.`

The population owned motorcycles are 24%.

`P(M)=0.24`

The population owned both a car and a motorcycle is,

`P(C\cap M)=0.06`

The probability that a randomly chosen member of the population

owns a car or a motorcycle is,

`P(C\cup M)=P(C)+P(M)-P(C\cap M)`
`P(C\cup M)=\text{ 0.18}+0.24-0.06`
`P(C\cup M)=0.36.`

Thus the probability that a randomly chosen member of the population

owns a car or a motorcycle is, 0.36.