Share Birthday Math

Let p n p n p n be the probability that at least two of a group of n n n randomly selected people share the same birthday. This year your age your year of birth each individual is 2019. In a room of just 23 people there s a 50 50 chance of at least two people having the same birthday.

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In a bar with even a small crowd if you can get someone to take your bet that two people share a birthday you ll win more often than you lose.

Share birthday math. Of the group share the same birthday. In a room of 75 there s a 99 9 chance of at least two people matching. This year is special. Or a 70 6 chance which is likely.

The birthday problem asks how many people you need to have at a party so that there is a better than even chance that two of them will share the same birthday. The first few values are as follows. An accessible and free tool that helps all students share and organize their math work. In a group of 22 people the odds are less than 50 50 that two share a birthday.

P no more than two people share their birthday p noone shares their birthday with anyone else p noone shares their birthday with anyone else except one pair. Most people think the answer is 183. It happens only once every 1 000 years. Put down the calculator and pitchfork i don t speak heresy.

The probability of sharing a birthday 1 0 294. The birthday paradox is strange counter intuitive and completely true. It is possible to extend the problem to ask how many people in a group are necessary for there to be a greater than 50 probability that at least 3 4 5 etc. Mathshare is a free open source and accessible education tool that helps students show and organize their math work.

It s only a paradox because our brains can t handle the compounding power of exponents. The probability of being born any day of. Person a can be born on any day of the year since they re the first person we re asking. You can see that the dividing line is between 22 and 23 people.

By the pigeonhole principle since there are 366 possibilities for birthdays including february 29 it follows that when n 367 n geq 367 n 3 6 7 p n 100 p n 100 p n 1 0 0. What is the probability that two people share the same birthday. 50 probability of 3 people sharing a birthday 88 people. All the people in the world are of the same age this year.

50 probability of 4 people sharing a birthday 187 people. This year all the people in the world are all in the same age group all equal to 2019. In a group of 23 the odds are better than 50 50.