answersLogoWhite

0


Best Answer

10^%

User Avatar

Anonymous

Lvl 1
3y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How likely is it that in a group of 15 people who don't know each other at least 2 share a birthday?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic

How many people must be in the room in order to guaratnee that at least two people share a birthday?

367


What is the probabililty of at least 2 people same birthday from a group of n people then how large ned n for the probability to be greater than 0.5?

It is 1 - 365Cn/365n. This is greater than 0.5 for n greater than or equal to 23.


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)!]


Which people would be LEAST likely to have a high median income?

The people least likely to have good incomes are those who were born into poverty. With the intentionally built barriers out of poverty, it is nearly impossible to move out of it in some situations.


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

Related questions

What group of people are least likely to commit suicide?

Greece


What group of people is least likely to be given voting rights?

d.transients


What voting group is least likely to vote?

People who have lost faith in the process and believe it does not make much difference who is elected are least likely to vote.


What is the probabililty of at least 2 people same birthday from a group of 12 people?

The probability of at least 2 people in a group of npeople sharing a common birthday can be expressed more easily (mathematically) as 1 minus the probability that nobody in the group shares a birthday. Consider two people. The probability that they don't have a common birthday is 365/365 x 364/365. So the probability that they do share a birthday is 1-(365/365 x 364/365) = 1-365x364/3652 Now consider 3 people. The probability that at least 2 share a common birthday is 1-365x364x363/3653 And so on so that the probability that at least 2 people in a group of n people having the same birthday = 1-(365x363x363x...x365-n+1)/365n = 1-365!/[ (365-n)! x 365n ]In the case of 12 people this equates to 0.16702 (or 16.7%).


Which group was least likely to be in combination with the White group?

Hispanic


What racial group is least likely to have health insurance?

The racial group that is least likely to have health insurance is Hispanics. Many Hispanics in the United States may not be legal and have no means to get insurance.


What is the probability that at least 2 people in a random group of 6 people have a birthday on the same day of the week?

1-365/[(365-6)*365^6] = 1 Is this O.K ?


Which group would have been LEAST likely to be a major ethnic group in Latin America?

arab


In which country are the people least likely to change their physical environment?

In which country are the people least likely to change their physical environment?


Which racial group was least likely to be responsible for their grandchildren?

Asian Alone


Which group is least likely to be concerned about potential long-term side effect of genetically modified (GM) food?

People who live in a poor village.


When your doing pull-ups which muscle group is least likely to be strengthened?

your legs