What is the probability that 2 out of 23 people have the same birthday?
Table of Contents
- 1 What is the probability that 2 out of 23 people have the same birthday?
- 2 What is the probability that in a group of 23 people ie you and 22 others you find a person that shares your birthday in particular?
- 3 What is the probability that two friends have same birthday month?
- 4 What is the probability that two or more people in a random group of 25 people have a common birthday this is the famous birthday paradox problem?
- 5 What are the chances of matching birthdays for 23 people?
- 6 What is the meaning of various probability?
What is the probability that 2 out of 23 people have the same birthday?
about a 50 percent chance
The birthday paradox, also known as the birthday problem, states that in a random group of 23 people, there is about a 50 percent chance that two people have the same birthday.
Probability of Shared Birthdays or, How to Win Money in Bar Bets
| Probability in a group of n people that 2 or more have the same birthday | |
|---|---|
| 20 | 0.411 |
| 22 | 0.476 |
| 23 | 0.507 |
| 30 | 0.706 |
What is the probability that the two friends have I the same birthdays II different birthdays ignoring a leap year?
The probability that two different friend have different birthdays (ignoring a leap year) is : a) 364/365.
What is the probability that two friends have same birthday month?
Quite simply the answer is 1/12. Solution: A person can have birthday in any of the 12 months of the year. Another person can also have his/her birthday in any of the 12 months.
What is the probability that two or more people in a random group of 25 people have a common birthday this is the famous birthday paradox problem?
In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share a birthday. The birthday paradox is that, counterintuitively, the probability of a shared birthday exceeds 50\% in a group of only 23 people….Near matches.
| k | n for d = 365 |
|---|---|
| 6 | 7 |
| 7 | 7 |
What is the probability of having the same birthday as someone?
Birthday Formula. Consider just three people: A, B, and C. There are three pairs out of these people (AB, AC, BC). By itself, the probability that a given pair has the same birthday is 1/365. But if AB shares a birthday, and BC shares a birthday, then the probability that AC shares a birthday is not 1/365 but simply 1.
What are the chances of matching birthdays for 23 people?
Consequently, each group of 23 people involves 253 comparisons, or 253 chances for matching birthdays. • Collect birthdays for random groups of 23 or more people. Ideally you should get 10 to 12 groups of 23 or more people so you have enough different groups to compare. (You don’t need the year for the birthdays, just the month and day.)
What is the meaning of various probability?
/ Various probability Calculates a table of the probability that one or more pairs in a group have the same birthday and draws the chart. n persons in a group (1) the probability that all birthdays of n persons are different.
How many birthdays should I collect to compare birthdays?
• Collect birthdays for random groups of 23 or more people. Ideally you should get 10 to 12 groups of 23 or more people so you have enough different groups to compare. (You don’t need the year for the birthdays, just the month and day.)