The Beauty of Mathematics: Birthday Feasibility
If there are 23 people present, then more than 50 percent is likely to be that the birthday of any two of them will be the same!
The information is astonishing. A person's birthday can be anytime in 365 days of the year. However, the probability of matching two people birthdays between 23 person is more than 50%. But math has proved that this is exactly right.
Evidence:
We need 23 people to prove this information. Firstly, there are 23 people present in a room. Now one of them is called from among them.
This person must be born in any one day of the year. That is, the probability of being 100% of the person's birthdays in any one day of the year. I can write it to 365/365 Those who did not understand the problem can see Appendix -1.
Let's call the second one. If this person's birthday is not on the same day of first person, is likely to occur in any of the remaining 364 days probability is 364/365.
Thus, unlike the first two people, the birth date of third person probability is to be 363/365.
This way, 23rd person birthday is unlikely to be different from the other 22 people probability is , 343/365.
Then the probability of 23 persons birthday are different :
365/365 X 364/365 X 363/365 X ................... X 343/365 = 0.4927 or 49.27%
(Note that if you did not understand Appendix II Note)
That is, it is unlikely that the birthdays of 23 people will be different or at least two birthdays are equal to = 100% - 49.27% = 50.73%, which is more than 50%.
This proves from:
If there are 23 people present, then more than 50 percent is likely to be that the birthday of any two of them will be the same!
In the same way we can see,
If there are 57 people anywhere, it is more likely than 97%, that the birth date of any two of them will be the same.
If there are 100 people anywhere, it is likely 100%, that the birth date of any two of them will be the same.
See the graph below:
You can apply these statistics in real life. Hope you find matches. Everyone is invited to watch episode 2.
Appendix - 1:
If you throw a coin, the probability of heading back on the top 50% means once in two times. The language of probability is 1/2. But head or tail is unlikely to get any one 100% because head or tail can be found in any one course. It can be written as 2/2. This is the first person's birth day's feasibility of writing 365/365.
Appendix 2:
If multiple coins are thrown (in this case 2) then the probability of heading for each is 1/2 but the probability of heading in both together is 1/4 or 25% (1/2x 1/2). Because in this case any of the four events can happen. Such as: 1. Head 2 Head in the first, Tail 3 in the second The first in the tale, the second to the head 4 Tail both Therefore, there are total possibilities found by multiplying different possibilities. For the total probability of 23 people, their different possibilities have been multiplied.
wow its amazing mathematics. Thanks for sharing.
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