2027

[AbbyG63]

If Roman is elected then Paco is not elected, and if Roman is not elected then Jean is elected.

right: If Paco is elected then Jean is elected.
wrong: If Jean is elected then Paco is elected.

[ohthatpatrick]

Are you asking why the right answer is what it is?

If Roman is elected then Paco is not elected, and if Roman is not elected then Jean is elected.

The first claim looks like
R --> ~P
P --> ~R

That's saying, "If R is elected, P is not". The contrapositive is therefore that "If P is elected, R is not".

The second claim looks like
~R --> J
~J --> R

That's saying "If R is not elected, J is." and the contrapositive is saying "If J is not elected, then R is."

We can chain these together to say
P --> ~R --> J
or
~J --> R ---> P

right: If Paco is elected then Jean is elected.
this matches our chain (P --> ~R --> J)

wrong: If Jean is elected then Paco is elected.
This is trying to read our (P --> ~R --> J) chain backwards