Dr Muecke,the South Australian founder of eye health charity Sight for All,is the bookies'favourite with Dr Al Muderis just behind.
"This is the first time we've seen two closely priced nominations and two potential winners with a hair's breadth between them,"TAB spokesman Gerard Daffy said.
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Dr Al Muderis,who was named NSW Australian of the Year,was born and began his medical career in Iraq under the dictatorship of President Saddam Hussein. He fled after being ordered to mutilate military deserters'ears and travelled to Australia by boat in 1999.
After months in immigration detention,Dr Al Muderis was recognised as a refugee and released. He restarted his surgical career,going on to specialise in hip and knee work,as well as becoming the patron of the Asylum Seekers Centre.
In particular,Dr Al Muderis is known for a technique in which titanium pins are inserted into amputees'bones to connect with their prostheses,allowing them a much greater range of motion and less discomfort than traditional connective methods.
The Australian of the Year is selected by the board of the National Australia Day Council from each state and territory's Australian of the Year winner.