What is the probability that at least 3 people have the same birthday?

Then this approximation gives (F(2))365≈0.3600, and therefore the probability of three or more people all with the same birthday is approximately 0.6400.

What is the probability that 2 friends have same birthday?

What’s the chance that two people share the same birthday? The first person can be born on any day of the year, this means that the probability is 365/365 = 1. The second person has to be born on the same day as the first and there is a 1/365 chance of that happening.

What is the probability that at least 2 people have the same birthday in a group of 10 people assume that there are 365 days in a year?

If first person has birthday on any of the days out of 365 days, the possibilities for second person will decrease by 1 as he/she cannot have same birthday and so on. Hence, the probability that 10 people in a room have different birthday is 0.883.

What is the probability that there are at least two people with the same birthday in a class of 40 students?

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
23	0.507
30	0.706
40	0.891
50	0.970

What is the probability that in a group of 3 people at least two will have same birthday?

Since all probabilities are independent, we can calculate p = (1 – 1/365)*(1 – 2/365) = 132,132/133,225 ~ 0.99159. So, the probability of at least 2 of them having the same birthday (assuming independence) is 1 – p = 1,093/133,225 ~ 0.00820, close to 1 in 122.

What is the probability of having different birthdays?

(c) Now add a fourth person, and a fifth, and so on until you have 22 people with different birthdays (p ≈ 52.4\%). When you add the 23rd person, you should have p ≈ 49.3\%….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
50	0.970

What is the probability that the two friends have I the same birthday in different birthdays ignoring a leap year?

The probability that two different friend have different birthdays (ignoring a leap year) is : a) 364/365.

How do you calculate the probability of having 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)
350	(100 − 3×10−129)\%
365	(100 − 1.45×10−155)\%
≥ 366	100\%

What is the probability of a shared birthday in a group?

In a group of 23 people, the probability of a shared birthday exceeds 50\%, while a group of 70 has a 99.9\% chance of a shared birthday. (By the pigeonhole principle, the probability reaches 100\% when the number of people reaches 367, since there are only 366 possible birthdays, including February 29.)

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.

What is the probability of being born on the same day?

However, 99.9\% probability is reached with just 70 people, and 50\% probability with 23 people. These conclusions are based on the assumption that each day of the year (excluding February 29) is equally probable for a birthday. Actual birth records show that different numbers of people are born on different days.

How many possible combinations of birthdays are there in a group?

If one assumes for simplicity that a year contains 365 days and that each day is equally likely to be the birthday of a randomly selected person, then in a group of n people there are 365 n possible combinations of birthdays. The simplest solution is to determine the probability of no matching birthdays and then subtract this probability from 1.