What is the probability that you were born on the day you were born on?

What is the probability that you were born on the day you were born on?

The probability of being born any day of the year is 1 or more specifically: 365/365. Since Person B must be born on the same day as Person A their probability is 1/365.

What is the probability that 3 people were born on the same day of the week?

Considering exactly 2 people being born on the same day I get 1*1/7*6/7. And then, exactly 3 people is 1*1/7*1/7. Thus, the total is 6/49 + 1/49 = 7/49.

What is the probability that in a group of 4 people at least two of them were born on the same day of the week?

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Probability that at least 2 of a group of 4 people were born on the same day of the week=1-probability that at most 1 of a group of 4 people were born on the same day of the week (NONE ARE BORN ON SAME DAY).

What is the probability of two people born on the same day?

​The chance that the second person has the same birthday is 1/365 or about 0.27\%. The first person can have any birthday. That gives him 365 possible birthdays out of 365 days, so the probability of the first person having the “right” birthday is 365/365, or 100\%.

What is the probability of being born on a different day?

The probability that the first guy is born on any one of the 7 days in the week is certainty, or 1. The probability that the second guy was born on a different day is the number of days unused so far, or 6 divided by the number of possible days, or 7.

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How many ways can two people have the same birthday?

The number of ways that all n people can have different birthdays is then 365 × 364 ×⋯× (365 − n + 1), so that the probability that at least two have the same birthday is.

How many possible combinations of birthdays are there in a group?

If one assumes for simplicity that a year contains 365 days and that each day is equally likely to be the birthday of a randomly selected person, then in a group of n people there are 365 n possible combinations of birthdays. The simplest solution is to determine the probability of no matching birthdays and then subtract this probability from 1.

What is an entertaining example of probability in statistics?

An entertaining example is to determine the probability that in a randomly selected group of n people at least two have the same birthday.