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The birthday problem is a mathematical puzzle that demonstrates the surprising likelihood of two people sharing a birthday in a group of just 23 people.
Slides
Slide Presentation (9 slides)
Key Points
- The birthday problem asks for the probability that at least two people in a group share a birthday.
- The birthday paradox states that only 23 people are needed for that probability to be greater than 50%.
- The probability of no two people in a room having the same birthday can be calculated using conditional probability.
- The birthday problem can be solved using mathematical formulas and approximations.
- The probability of finding at least one pair with birthdays within calendar days of each other can be calculated using a formula.
- The birthday problem has been studied in various fields, including psychology and mathematics.
- There are misconceptions about probability among psychology undergraduates and casino visitors.
Summaries
32 word summary
The birthday problem is a mathematical brain teaser that asks for the probability of at least two people sharing a birthday in a group. Only 23 people are needed for that probability.
45 word summary
The birthday problem is a mathematical brain teaser that asks for the probability of at least two people sharing a birthday in a group. The counterintuitive fact is that only 23 people are needed for that probability. The probability of no two people in a
365 word summary
The birthday problem is a mathematical brain teaser that asks for the probability that, in a group of people, at least two will share a birthday. The counterintuitive fact known as the birthday paradox states that only 23 people are needed for that probability
The probability that no two people in a room have the same birthday can be calculated by finding the probability of each person having a different birthday. This can be done using conditional probability. For example, the probability of person 2 not having the same birthday
The Birthday problem is a probability puzzle that asks how many people are needed in a room to have at least a 50% chance that two people share the same birthday. The problem can be solved using mathematical formulas and approximations. One approach involves calculating
The excerpt discusses the birthday problem and the birthday attack. It presents a table showing the number of hashes needed to achieve a given probability of collision. The text also explains how this chart can be used to determine the minimum hash size required or the probability of
The birthday problem is a mathematical concept that calculates the probability of at least two people sharing the same birthday. This problem can be generalized to include any range of random integers. The probability of a shared birthday can be calculated using the same arguments as the original
The probability of finding at least one pair in a group of people with birthdays within calendar days of each other can be calculated using a formula. In a group of just seven random people, it is more likely than not that two of them will have a
The excerpt contains a list of references and sources related to the birthday problem. Some of the key points mentioned include the distribution of birthdays throughout the year, the Cauchy-Schwarz Master Class, a generalized birthday problem, empirical measurements of disk failure
The Birthday problem is a probability concept that explores the likelihood of two people sharing the same birthday in a given group. It has been studied in various fields, including psychology and mathematics.
One study found misconceptions about probability among psychology undergraduates and casino visitors