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

Answer:

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? ​

=> $0.72\times0.72=0.5184$

b) both will need​ repair? ​

=> $0.28\times0.28=0.0784$

c) at least one car will need​ repair?

=> $1-(0.72\times0.72)$

=> $1-0.5184=0.4816$