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What is the probability that 2 persons have same birthday?

Posted on May 3, 2021 by Author

Table of Contents

  • 1 What is the probability that 2 persons have same birthday?
  • 2 What is the probability that in a room of 30 people there is a pair of people who have the same birthday?
  • 3 What is the probability that the two friends have I the same birthday in different birthdays ignoring a leap year?
  • 4 What is the Probabilty your birthday falls on the 30th of any month of the year 2021?
  • 5 What is the probability that two friends have different?
  • 6 What is the probability your friend’s birthday is also in December?
  • 7 Is April 13 a common birthday?
  • 8 What is the probability of 3 students sharing a birthday in a class of 30 students is?
  • 9 What is the probability that two people don’t have the same birthday?
  • 10 What is the general birthday problem in statistics?

What is the probability that 2 persons have same birthday?

One person has a 1/365 chance of meeting someone with the same birthday. Two people have a 1/183 chance of meeting someone with the same birthday.

What is the probability that in a room of 30 people there is a pair of people who have the same birthday?

The probability of sharing a birthday = 1 − 0.294… = 0.706… Or a 70.6\% chance, which is likely! So the probability for 30 people is about 70\%.

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.

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What is the probability that two friends have different birthday in an ordinary year?

So, the number of cases favourable to the event “different birthdays” is( 365×364). So p(1st friend birthday )=1/365, P(2nd) =1/364,because his/her birthday is on different date than the first one so, P(both friend having different birthday )=(1/365)*(1/364).

What is the probability in a room with 20 persons that any two of the persons have the same birthday?

0.411
If there are 366 or more people, but only 365 possible birthdays disregarding leap year, then two or more of them must share a 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

What is the Probabilty your birthday falls on the 30th of any month of the year 2021?

Therefore, the probability of your birthday falling on the 30th of any month of the year 2021 is 11/365.

What is the probability that two friends have different?

Hence, the probability that two friends have different birthdays = 1 – 1365=364365.

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What is the probability your friend’s birthday is also in December?

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. Now,the total number of possible combinations is 12*12 , which equals 144.

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

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.

Is April 13 a common birthday?

You can see the full calendar year and how common of a birthday your special day is below….How common of a birth date is each day in the calendar year?

Birth Date Popularity Average Births
4/11 196th 11,059
4/12 237th 10,953
4/13 351st 10,389
4/14 307th 10,812

What is the probability of 3 students sharing a birthday in a class of 30 students is?

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.

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What is the probability that two people don’t have the same birthday?

The probability that a person does not have the same birthday as another person is 364 divided by 365 because there are 364 days that are not a person’s birthday. This means that any two people have a 364/365, or 99.726027 percent, chance of not matching birthdays.

How many people do you need to make the probability 99\%?

The number is surprisingly very low. In fact, we need only 70 people to make the probability 99.9 \%. Let us discuss the generalized formula. What is the probability that two persons among n have same birthday?

How many people in a group of N have the same birthday?

The problem is to compute an approximate probability that in a group of n people at least two have the same birthday. For simplicity, variations in the distribution, such as leap years, twins, seasonal, or weekday variations are disregarded, and it is assumed that all 365 possible birthdays are equally likely.

What is the general birthday problem in statistics?

The generalized birthday problem. Given a year with d days, the generalized birthday problem asks for the minimal number n(d) such that, in a set of n randomly chosen people, the probability of a birthday coincidence is at least 50\%.

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