Fraction:1/1461 Decimal:0.00068446269678302532511978097193703 Percentage:0.068446269678302532511978097193703%
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Simple. Being born on a leap year on the 29th of February. As the 29th of February only occurs once every four years, you would have to live for 400 years to actually have your 100th birthday.
The probability of two people's birthday being the same is actually more likely than many would think. The key thing is to note that it doesn't matter what the first person's birthday is. All we need to work out is the probability that the second person has a birthday on any specific day. This probability is 1/365.25 The probability that they were born on June 10th is 1/365.25. The probability that they were born on February 2nd is 1/365.25 and the probability that they were born on the same day as you is 1/365.25
In a leap year is 1 in 4 odds On 29th February is 1 in 365 + 365 + 365 + 366 = 1 in 1,461 odds
Their birthday is on February 29th. (On a leap year)