For ease of answering, we will work under the assumption that the probability of someone being born within any given month is equal to that of any other month.
Allowing that assumption, we can look at that question a slightly different way and say "What is the probability that all people in a group of six would each be born in a different month?" The answer to that would be 12/12 * 11/12 * 10/12 * 9/12 * 8/12 * 7/12, which can also be expressed as (12! / 6!) / 126, and comes out to 665280 / 2985984, which equals 385 / 1728.
The probability of at least two being being born in the same month would then be:
1 - 385 / 1728
= 1343 / 1728
≈ 0.7772, or approximately 77.72%
Birth months are not uniformly distributed across the year. However, if yo assume that they are, the probability is 0.9536 (approx).
It is a certainty. There will always be at least one month that will meet the requirement.
Rather a vague question. Are the people related? Obviously thousands of people are born in every month, so I guess you mean people who are connected in some way.
There are 12 months to choose from There are 7 months with 31 days in them. The probability of choosing a 31-day month is 7/12.
It is 1. Every month contains 28 days.
Birth months are not uniformly distributed across the year. However, if yo assume that they are, the probability is 0.9536 (approx).
13 is the smallest number of people that will guarantee that at least two of them were born on the same month.
The probability is 1.
13, if you want to be sure. It's impossible for a group of 13 people not to have at least one pair that share a birth month, because there are only 12 months.If you'll settle for a lower probability, thechance that a group of 5 randomly chosen people will contain at least one pair born in the same month is about 3/5, and if you gather 6 people the chance that at least two of them will share a birth month is about 4/5. Those aren't exact probabilities both because the math doesn't work out that way and and because birthdays are not randomly distributed by month ... significantly fewer people are born in February than in August. An exact probability would need to take that into account, and it's frankly more research and math than I want to do unless I'm getting paid for it.
It is a certainty. There will always be at least one month that will meet the requirement.
Using probability If 400 people walk through the door in a month what is your total expected profit?
June
February - because it's the shortest month!
Probably February because it has the least days.
Rather a vague question. Are the people related? Obviously thousands of people are born in every month, so I guess you mean people who are connected in some way.
the probability is 3/12 or 1/4
There are 12 months to choose from There are 7 months with 31 days in them. The probability of choosing a 31-day month is 7/12.