Question

A consumer organization estimates that over a​ 1-year period 16​% of cars will need to be repaired​ once, 9​% will need repairs​ twice, and 3​% will require three or more repairs. If you own two​ cars, what is the probability that

​a) neither will need​ repair? ​
b) both will need​ repair? ​
c) at least one car will need​ repair?

Answer 1

A consumer organization estimates that over a​ 1-year period 16​% of cars will need to be repaired​ once, 9​% will need repairs​ twice, and 3​% will require three or more repairs..

We have the cars that do not need repair =
`100-(16+9+3)=72`%

(16+9+3=28% cars need repair of some sort)

What is the probability that :

​a) neither will need​ repair? ​

=>
`0.72*0.72=0.5184`

b) both will need​ repair? ​

=>
`0.28*0.28=0.0784`

c) at least one car will need​ repair?

=>
`1-(0.72*0.72)`

=>
`1-0.5184=0.4816`