Table of Contents
- 1 What is the probability that 2 out of 30 people have the same birthday?
- 2 What is the probability that in a group of 2 people both have same birthday?
- 3 How many people share the same birthday?
- 4 What is the probability of celebrating different birthdays of two friends?
- 5 What is the probability of 30 birthdays?
- 6 What is the meaning of various probability?
What is the probability that 2 out of 30 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 | |
---|---|
22 | 0.476 |
23 | 0.507 |
30 | 0.706 |
40 | 0.891 |
What is the probability that in a group of 2 people both have same birthday?
The chance that the second person has the same birthday is 1/365 or about 0.27\%. The first person can have any birthday. That gives him 365 possible birthdays out of 365 days, so the probability of the first person having the “right” birthday is 365/365, or 100\%.
What is the probability that at least two out of approximately 60 people share the same birthday?
The goal is to compute P(A), the probability that at least two people in the room have the same birthday. However, it is simpler to calculate P(A′), the probability that no two people in the room have the same birthday….Calculating the probability.
n | p(n) |
---|---|
60 | 99.4\% |
70 | 99.9\% |
75 | 99.97\% |
100 | 99.99997\% |
The number of people with the same date of birth as you is somewhere around 20.8 million. Yes, you share your big day with millions of people. Getting a little more specific, there are about 885,000 Americans with the same birthday as you.
What is the probability of celebrating different birthdays of two friends?
prob of different bday= 1–1/365 = 364/365.
What is the probability that two people have the same birthday?
The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday.
What is the probability of 30 birthdays?
Therefore, the total combination of all the possible probabilities of birthdays for all of the 30 people is 365 * 365 * 365 * … 30 times or, better expressed, 365^30.
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.
Relevant For… n 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 counter-intuitively high. The birthday problem is an answer to the following question: