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Showing posts with the label Probability

Birthday Paradox

Why not delve into some serious maths?  The 'Birthday Paradox' is actually not a paradox (a statement which is true and false at the same time) but it is a statement that is too interesting that it seems false to our human minds.   What is the probability that two persons will have the same birthday? There is a 1 in 365 chance for this to happen or a probability of 1/365. Then I can say the probability of 2 people not having the same birthday is  Hence, there's a 99% chance of 2 people having different birthdays. But if instead of 2 there were 23 people, then what would be the probability of 2 people having the same birthday. For this, we must consider all the possible pairings between these people and it is equal to There are a total of 253 possible pairings between a group of 23 people. Since each pair has a probability of 364/365 of having different birthdays, the probability of finding a pair among 253 possible pairs who have different birthdays will be equal to...