We will put m balls into n boxes uniformly at random.

In reality, people aren’t born evenly throughout the year, and.

How large does a random group of people have to be for there to be a 50% chance that at least two of the people will share a birthday?.

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Given n people, and given n days in a year, the reasoning in part (a) shows that the probability that no two people have the same birthday is μ ¶ μ ¶ μ ¶.

Webthe birthday problem (also called the birthday paradox) deals with the probability that in a set of n n randomly selected people, at least two people share the same birthday.

We figure out m, n.

The probability the first two people have different birthdays is (1 1=365).

Webthe birthday paradox < n.

Webthe birthday paradox, also known as the birthday problem, states that in a random group of 23 people, there is about a 50 percent chance that two people have the same birthday.

Webhere's a fun brain teaser:

Webthe chance that two people in the same room have the same birthday — that is the this is in a hypothetical world.

What is prob that some box has ≥ 2 balls?

We figure out m, n later.

Webthis is easily determined as follows:

The probability that the third person in the room then has a.

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Webthe birthday paradox what is the minimum number of people who need to be in a room so that the probability that at least two of them have the same birthday is greater than 1/2?