What is the probability that a student has a birthday in February assuming that it is a leap year?

Using the American data, assuming ~71 Million births (rough graphed mean * 366) and 46.000 births on February 29ths, not correcting for the distribution of leap years in the data, because the precise period is not indicated, I arrive at a probability of around ~0.000648.

When trying to understand and calculate the birthday paradox how many people have to be in a room for there to be a 50\% chance that 2 of them have the same birthday?

23 people
In a room of just 23 people there’s a 50-50 chance of at least two people having the same birthday. In a room of 75 there’s a 99.9\% chance of at least two people matching. Put down the calculator and pitchfork, I don’t speak heresy. The birthday paradox is strange, counter-intuitive, and completely true.

How do you calculate birthday paradox?

The birthday paradox is that, counterintuitively, the probability of a shared birthday exceeds 50\% in a group of only 23 people. The birthday paradox is a veridical paradox: it appears wrong, but is in fact true….Calculating the probability.

n	p(n)
70	99.9\%
75	99.97\%
100	99.99997\%
200	99.9999999999999999999999999998\%

What is the probability of someone having the 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 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.

What does birthday paradox mean?

The birthday paradox – also known as the birthday problem – states that in a random group of 23 people, there is about a 50\% chance that two people have the same birthday. But when all 23 birthdays are compared against each other, it makes for much more than 22 comparisons.

Are birthdays randomly distributed?

To be precise: It’s a random distribution for sure, but it also has patterns. It is only not a uniform distribution.

How do you calculate the probability of sharing a birthday?

The first person covers one possible birthday, so the second person has a 364/365 chance of not sharing the same day. We need to multiply the probabilities of the first two people and subtract from one. For the third person, the previous two people cover two dates.

What are the odds of being born on February 29th?

P (born on Feb 29) = P (born on Feb 29|born in a leap year)P (born in a leap year) + P (born on Feb 29|born in a normal year)P (born in a normal year) i.e. the odds are approximately 1 in 1509. Originally Answered: How old are people who have birthdays on the 29th of February?

Why is it called the birthday paradox?

Though it is not technically a paradox, it is often referred to as such because the probability is counter-intuitively high. The birthday problem is an answer to the following question: n n randomly selected people, what is the probability that at least two people share the same birthday?

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.

What is the birthday problem in psychology?

The birthday problem is an answer to the following question: n n randomly selected people, what is the probability that at least two people share the same birthday? 99 99 \%? n n randomly selected people share the same birthday. By the pigeonhole principle, since there are 366 possibilities for birthdays (including February 29), it follows that when