For example, let's say my MX Record(s) specify:
0 server1 mydomainexample.com
1 server2 mydomainexample.com
Now let's say:
me@mydomainexample.com is an account on server1
and
you@mydomainexample.com is an account on server2
Will the sender try to send you@mydomainexample.com mail on server1 and fail over to server2?