WebbThe probability that Alice and Bob have the same birthday is fairly straightforward to calculate. Simply take Alice’s birthday as given, then the probability of Bob also having the same birthday is 1 / 365. However, to set things up for what follows, we’ll express this probability slightly differently. WebbB. "The Monty Hall Problem." “Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, …
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WebbThe answer in probability is quite surprising: in a group of at least 23 randomly chosen people, the probability that some pair of them having the same birthday is more than 50%. For 57 or more people, the probability reaches more than 99%. And of course, the probability reaches 100% if there are 367 or more people. Webb1 aug. 2024 · Thus the minimum of the probability of getting two random birthdays the same is achieved when all $p_k$ are equal, namely $p_k = 1/n$, and if they are not all equal, then the probability of getting two random birthdays the same is greater. 1,806 Related … health and human services secretary tom price
Birthday Paradox - GeeksforGeeks
WebbThe birthday problem (also called the birthday paradox) deals with the probability that in a set of \(n\) randomly selected people, at least two people share the same birthday. Though it is not technically a paradox, it is often referred to as such because the probability is … Webb11 feb. 2024 · The probability of at least two people sharing a birthday: P (B') ≈ 1 - 0.9729 P (B') ≈ 0.0271 P (B') ≈ 2.71% The result is 2.71%, quite a slim chance to meet somebody who celebrates their birthday on the same day. The second way of calculating the chances of being born on the same day WebbIn a room of just 23 people there’s a 50-50 chance of at least two people having the same birthday. In a room of 75 there’s a 99.9% chance of at least two people matching. Put down the calculator and pitchfork, I don’t speak heresy. health and human services sheboygan