Dating problem probability event viewer system log not updating
the sample space) is always equal to 1, or 100% chance. Let’s work out the probability that no one shares the same birthday out of a room of 30 people.Since the probability of at least 2 people having the same birthday and the probability of no one having the same birthday cover all possible scenarios, we know that the sum of their probabilities is 1. Let’s take this step by step: Using factorials, 365!
This alternate exercise is helpful because it is the complete opposite of our original problem (i.e. In probability we know that the total of all the possible outcomes (i.e. We’re finally ready to find out how safe a bet the professor made.The birthday paradox is strange, counter-intuitive, and completely true.It’s only a “paradox” because our brains can’t handle the compounding power of exponents.Anyway like he predicted before he got to the last student a pair of matching birthdays had been found.Person A can be born on any day of the year since they’re the first person we’re asking.
If you plug in other numbers you can solve for other probabilities: Remember that m is the (it’s easy to get confused, I did it myself).