Birthday Probability: 73rd Grandchild Out of 85

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What are the odds of me being born on my grandfather's 73rd birthday and being his 73rd grandchild? (there are 85 grandchildren total)
 
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amazane73 said:
What are the odds of me being born on my grandfather's 73rd birthday and being his 73rd grandchild? (there are 85 grandchildren total)

I'm guessing, but I'd say it's pretty certain. Nearly 100%. Am I right?
 

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