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It's not true.
A bit of business reading lead me to a 5-year old article by BloombergBusinessweek tearing down that statistic. The simple facts are this, according to Ohio State's Hospitality Management Program's research, 25% of restaurants fail within a year. And 60% within three years. Which may seem high, until you realize that a 60% failure rate over three years is average, across all industries, for small businesses.
Let me write it again, for myself: bars and restaurants fail on a rate similar to any other small business. It feels good to know, and while there are thousands of moving parts involved in opening a bar (or any small business), this one positive thought can make things feel a little less daunting from time to time.