if i buy an xbox 360 game in israel for and australian xbox 360 will it work

if i buy an xbox 360 game in israel for and australian xbox 360 will it work?
i need to know!
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Yes, all Xbox 360 produced after 2007 are free of region code protection. Xbox 360 consoles manufactured before 2007 will need to be updated with the April 07 firmware patch to play games of other regions. Merry Christmas