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The Birthday Paradox and Risk Evaluation

Take any random pair of people and the probability of having a pair born on the
probability of them having the exact same same date.
birthday sits at (1/365)?0.0027 or As shown, it takes only 23 unique people
roughly 0.27%. The chance of it seems so or events for something formally
low that many would ignore and assume it considered "highly unlikely" to
never occurring. transpire. This suggests that business
The Birthday Paradox however makes operators could adopt a more meticulous
available mathematical means to display and mathematical approach to risk
that the "improbable" occurs quite more management.
often than general belief. How many Killer storms or typhoons come on the
people does it take to have over 50% ocean infrequently. Yet, shipbuilders
chance of a pair sharing the same make certain to construct and design the
birthday? vessels to endure the worst of
23 conditions. When it comes down to life or
Explanation, please keep in mind this death, survival relies on weathering the
example ignores leap years. rare catastrophes.
1) With 23 people 253 possible pairs Does your business model include
exist. contingency plans for short term negative
23*22/2=253 outcomes or if competitors employ
(Look up Permutations if you don't unforeseen strategies? The investors of
understand this) bankrupt New Zealand financing companies
2) Now instead of finding the chance of had to learn this the hard way, with some
two people having the same birthday, let losing a lifetime of savings. I often
us find the probability of them having hear the phrase "take calculated risks",
DIFFERENT birthdays. yet not many people understand the
1-1/365?0.9973 or 99.73% or 364/365 in calculation part. It certainly does not
fraction equate to guessing and hoping for the
3) Plugging in the number of possible best.
pairs. I plan to discuss risk management in the
(364/365)^253?0.4995 or 49.95% chance of near future. In the mean time, free
having every possible pair within the resources are available everywhere at the
group to have DIFFERENT birthdays. library or over the internet. Learn to
4) Therefore, this concludes that out of survive the worst of times, and
a group of 23 people, there exists 50.05% everything will turn out A O K.




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