As of the latest information, there have been a total of 73 Ashes series played between England and Australia since the inception of this historic cricket rivalry in 1882. Australia has won 34 of these series, while England has won 32. Note that there was one series that ended in a draw, leading to the retention of the Ashes by the side that previously held it.
For more detailed information about the history and results of the Ashes series, you can visit the Wikipedia page on the Ashes.
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