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Prob(two sets of matched birthdays)

= 1 - [Prob(No matched birthdays)] + [Prob(One set of matched birthdays)]

= 0.63

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Q: What is the probability of a set of 28 people having two sets of matched birthdays?
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What is the probability that at least 2 people in the class of 25 will share the same birthday?

Birthdays are not distributed uniformly over a year but if, for the sake of probability games you assume that they are, then ignoring leap years, the probability is 0.5687. Including leap years, it is slightly lower.


What is the probability of you and 2 complete random people sharing a birthday?

Birthdays are not uniformly distributed over the year. Also, if you were born on 29 February, for example, the probability would be much smaller. Ignoring these two factors, the probability is 0.0082


What are the odds of having kids with the same birthday but a different year?

In probability theory, the birthday problem, or birthday paradox[1] pertains to the probability that in a set of randomly chosen people some pair of them will have the same birthday. In a group of 10 randomly chosen people, there is an 11.7% chance. In a group of at least 23 randomly chosen people, there is more than 50% probability that some pair of them will both have been born on the same day. For 57 or more people, the probability is more than 99%, and it reaches 100% when the number of people reaches 367 (there are a maximum of 366 possible birthdays). The mathematics behind this problem leads to a well-known cryptographic attack called the birthday attack. See Wikipedia for more: http://en.wikipedia.org/wiki/Birthday_paradox


What is the probabililty of at least 2 people same birthday from a group of 13 people?

19.4%CALCULATION:The probability of at least 2 people having the same birthday in a group of 13people is equal to one minus the probability of non of the 13 people having thesame birthday.Now, lets estimate the probability of non of the 13 people having the same birthday.(We will not consider 'leap year' for simplicity, plus it's effect on result is minimum)1. We select the 1st person. Good!.2. We select the 2nd person. The probability that he doesn't share the samebirthday with the 1st person is: 364/365.3. We select the 3rd person. The probability that he doesn't share the samebirthday with 1st and 2nd persons given that the 1st and 2nd don't share the samebirthday is: 363/365.4. And so forth until we select the 13th person. The probability that he doesn'tshare birthday with the previous 12 persons given that they also don't sharebirthdays among them is: 353/365.5. Then the probability that non of the 13 people share birthdays is:P(non of 13 share bd) = (364/365)(363/365)(362/365)∙∙∙(354/365)(353/365)P(non of 13 share bd) ≈ 0.805589724...Finally, the probability that at least 2 people share a birthday in a group of 13people is ≈ 1 - 0.80558... ≈ 0.194 ≈ 19.4%The above expression can be generalized to give the probability of at least x =2people sharing a birthday in a group of n people as:P(x≥2,n) = 1 - (1/365)n [365!/(365-n)!]


How many people have the same name and birthday as you?

The first thing to note is that names and birthdays are independent of each other. Someone born on 5th June isn't more likely to be called Chris, and someone called Katie isn't more likely to be born on 20th October, or whatever. Thus the probability is equal to the probability someone has your name, multiplied by the probability someone has your birthday. The latter is just 1/365.25, as you are equally likely to be born on each day. The former could be anything. If you have a really common name, that 1 in 1,000 people have, then the probability of someone having the same birthday and name as you will be 1/365,250 Multiply this probability by the world population (which we'll round to 7 billion) and you get: 7,000,000,000/365,250 = 19,165 so 19,165 people would have the same name and birthday as you!

Related questions

What is the probability that 4 randomly selected people all have different birthdays?

Let us assume that there are exactly 365 days in a year and that birthdays are uniformly randomly distributed across those days. First, what is the probability that 2 randomly selected people have different birthdays? The second person's birthday can be any day except the first person's, so the probability is 364/365. What is the probability that 3 people will all have different birthdays? We already know that there is a 364/365 chance that the first two will have different birthdays. The third person must have a birthday that is different from the first two: the probability of this happening is 363/365. We need to multiply the probabilities since the events are independent; the answer for 3 people is thus 364/365 × 363/365. You should now be able to solve it for 4 people.


What is the probability of 26 people in a group having the same birthday?

Birthdays are not uniformly distributed over the year. But, if you do assume that they are, then: ignoring leap years, it is approx 0.5982. If you include leap years it is 0.5687.


What is the probability of 2 or more people in a a group of about 30 having the same birthday?

The probability with 30 people is 0.7063 approx.


What is the probability that at least 2 people in the class of 25 will share the same birthday?

Birthdays are not distributed uniformly over a year but if, for the sake of probability games you assume that they are, then ignoring leap years, the probability is 0.5687. Including leap years, it is slightly lower.


What is the probability of you and 2 complete random people sharing a birthday?

Birthdays are not uniformly distributed over the year. Also, if you were born on 29 February, for example, the probability would be much smaller. Ignoring these two factors, the probability is 0.0082


If 15 strangers are all in a room what is the probability of them all having the same birthday?

To determine the probability of 15 random people all having the same birthday, consider each person one at a time. (This is for the non leap-year case.)The probability of any person having any birthday is 365 in 365, or 1.The probability of any other person having that same birthday is 1 in 365, or 0.00274.The probability, then, of 15 random people having the same birthday is the product of these probabilities, or 0.0027414 times 1, or 1.34x10-36.Note: This answer assumes also that the distribution of birthdays for a large group of people in uniformly random over the 365 days of the year. That is probably not actually true. There are several non-random points of conception, some of which are spring, Valentine's day, and Christmas, depending of culture and religion. That makes the point of birth, nine months later, also be non-uniform, so that can skew the results.


How do people around the world celebrate birthdays?

People do celebrate their birthdays by hanging out with their friends or family. Maybe also by going out for a picnic or having fabulous food outside. I do celebrate my birthday by hanging out with my family in McDonald's or Pizza hut!


How many people have birthdays on their birthdays?

Millions around the world.


Do people in Poland celebrate birthdays?

obviosly, they celebrate birthdays but they do it with a lot of alchocol!


What are the odds of having kids with the same birthday but a different year?

In probability theory, the birthday problem, or birthday paradox[1] pertains to the probability that in a set of randomly chosen people some pair of them will have the same birthday. In a group of 10 randomly chosen people, there is an 11.7% chance. In a group of at least 23 randomly chosen people, there is more than 50% probability that some pair of them will both have been born on the same day. For 57 or more people, the probability is more than 99%, and it reaches 100% when the number of people reaches 367 (there are a maximum of 366 possible birthdays). The mathematics behind this problem leads to a well-known cryptographic attack called the birthday attack. See Wikipedia for more: http://en.wikipedia.org/wiki/Birthday_paradox


What is the probabililty of at least 2 people same birthday from a group of 13 people?

19.4%CALCULATION:The probability of at least 2 people having the same birthday in a group of 13people is equal to one minus the probability of non of the 13 people having thesame birthday.Now, lets estimate the probability of non of the 13 people having the same birthday.(We will not consider 'leap year' for simplicity, plus it's effect on result is minimum)1. We select the 1st person. Good!.2. We select the 2nd person. The probability that he doesn't share the samebirthday with the 1st person is: 364/365.3. We select the 3rd person. The probability that he doesn't share the samebirthday with 1st and 2nd persons given that the 1st and 2nd don't share the samebirthday is: 363/365.4. And so forth until we select the 13th person. The probability that he doesn'tshare birthday with the previous 12 persons given that they also don't sharebirthdays among them is: 353/365.5. Then the probability that non of the 13 people share birthdays is:P(non of 13 share bd) = (364/365)(363/365)(362/365)∙∙∙(354/365)(353/365)P(non of 13 share bd) ≈ 0.805589724...Finally, the probability that at least 2 people share a birthday in a group of 13people is ≈ 1 - 0.80558... ≈ 0.194 ≈ 19.4%The above expression can be generalized to give the probability of at least x =2people sharing a birthday in a group of n people as:P(x≥2,n) = 1 - (1/365)n [365!/(365-n)!]


How do Spanish people celebrate 16Th birthdays?

They don't. They only celebrate 15th birthdays, which is a quinceanera.