Carelessly bet on some beef (1-4)

I believe the answer is:

t-bone

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'some beef' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'carelessly bet on' is the wordplay.
'carelessly' indicates an anagram.
'bet'+'on'='beton'
'beton' is an anagram of 'T-BONE'.

Can you help me to learn more?

(Other definitions for t-bone that I've seen before include "Choice piece of loin steak" , "Large cut of steak" , "Choice cut of steak" , "Cut of beef" , "Type of steak" .)

I've seen this clue in the Sydney Morning Herald.

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