The most common and most likely answer to this crossword clue is the 7 letter word RAFFLED
R
A
F
F
L
E
D
Buddy explains!

The straight part
We know that "Drew by chance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case drew by chance = raffled.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does RAFFLED mean?
RAFFLED verb- To award something by means of a raffle or random drawing, often used with off.
- To participate in a raffle.
- Having the edge finely notched.