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I seem to recall reading that in a gathering of twenty individuals, the likelihood that at least two of them have the same birthday is actually below 50%. Is there any truth to this statement?
The chance that 20 unique individuals will each have distinct birthdays (not accounting for leap years) calculates to approximately (364/365)*(363/365)*(362/365)*...*(346/365), which equates to 58.8562%. Therefore, the likelihood of at least one pair sharing a birthday is 41.1438%. Notably, you only need 23 individuals for the probability of a shared birthday to exceed 50%.