Bobby receives a gift for his tenth birthday $$ a model car. The model car has three components, which we call A$,$ B$,$ and C$.$ Unfortunately, Bobby does not like the gift and consequently uses it for target practice. He throws rocks at the model car with the goal of destroying it as soon as possible. $($When the car is finished, he will start destroying his other unsatisfactory gifts. Darling child.$)$

For any given throw, the probability that that the rock hits Component A is $=0\mathrm{.}1,$ the probability that it hits Component B is $=0\mathrm{.}2,$ and the probability that it hits Component C is $=0\mathrm{.}3.$ These events are independent of one another and of the condition of the car.

For example, whether or not Component A is hit by the first rock, it will still be hit by the second rock with probability $0\mathrm{.}1.$

Once a component is hit by a rock, that component will stop working. The car will be broken once Component A stops working or both Components B and C stop working.