Select last row for a certain group

I have two tables:

Table users

columns | type   | notes
--------|--------|-------
id      | bigint | PK
...     | ...    | ...

Table events

columns    | type    | notes
-----------|---------|------
id         | bigint  | PK
user_id    | bigint  | FK(`users`.`id`)
event_name | varchar | ...
...        | ...     | ...

Example of Table events

id | user_id | event_name | ...
---|---------|------------|-----
 1 |       1 | A          | ...
 2 |       1 | B          | ...
 3 |       2 | F          | ...
 4 |       3 | C          | ...
 5 |       1 | A          | ...
 6 |       2 | A          | ...

I want get the latest event of a user (e.g: user_id is 1). So far, I found two solutions:

SELECT events.*
    FROM events
    WHERE events.id = (SELECT MAX(events.id) FROM events WHERE (events.user_id = 1));

and

SELECT events.*
    FROM events
    WHERE events.user_id = 1
    ORDER BY events.id DESC
    LIMIT 0, 1;

Which one is the better solution for this case? Or maybe, is there any better solution?

FYI, I use MySQL 5.6.19 and InnoDB is the db engine.

There would be marginal difference if any between both the queries, however, the second query is much simpler, so if it were me, I would prefer the second one!

Another way to do this would be:

SELECT MAX(events.id), events.user_id, events.event_name
FROM events
WHERE events.user_id = 1

Oh, and if you want to get the results of all user collectively, this query would help:

SELECT MAX(events.id), events.user_id, events.event_name
FROM events
GROUP by events.user_id    

The output would be something like:

-------------------------------------
MAX(events.id) | user_id | event_name
-------------------------------------
       5       |    1    |    A
       6       |    2    |    F
       4       |    3    |    C