first of all, here is the question

A four-engined aircraft can fly safely on two engines; a three-engined aircraft can fly safely on one. On a particular trip, the probability of any engine failing is p, independently of all other engines and of the aircraft type.

which type of aircraft has the highest probability of being able to make this journey safely?

My intuitive sense tells me that three-engined aircraft will have a higher probability of being able to make this journey safely because it can fly without 2 engines.

However, the first one has four engines but it's safe when it has two engines so my thought is this has a higher chance to fail the journey than the first one.

My question is how to solve this kind of question formally using a proper probability theorem?

If I set the failing is p then not failing is 1-p....

do I start with this?

well,any help would be good for me

thank you so much in advance.

thanks