Problem Statement
How many people do you need in a group for the probability that two people will have the same birthday to become 50%
My Process
The first thing I did was to make it into an algorithm I could use. For example, for 2 people it would be 365/365 multiplied by 364/365. I would then divide the answer by itself to get 99.7%. I would then increase the total number value to 3 so it would be 365,364 and 363. I repeated this process until I got to the answer which was 23. Along the way, I was told that there was an equation that would make the process easier but I had already found the answer.
Other People's Processes
The process that the people at my table used was exactly the same way I did it. They took the total amount of number values and multiplied and divided it. However, at other tables, some people found an equation for the problem. One of these people came to our table and showed it to us. We then applied to a low number and found that the equation worked. By then, my table mates and I were already done with the problem.
The Solution
On the last day of the problem, our math teacher showed us the answer to the Birthday Paradox. He showed us the equation that one of my classmates had. The answer he got was the same answer that everyone got, which was 23. The equation that he used was basically what I did but in equation format.
Assessment of the Problem
I really liked this problem. This wasn't the sort of problem that you can get answer really fast. This was the problem in which you had to think logically in order to solve it. I liked how it was math heavy and the length of time it was required to solve it. By doing this, I got to interact more with my table mates on how to solve the problem. When we first started doing this problem, we tried doing it several ways. We attempted to work backwards but we found that the numbers were too high for the calculator to handle. Instead, we started from the very beginning and worked our way down. We made sure that everyone in the group calculated the same answer so there wouldn't be any confusion.
Self Evaluation
For this assignment, I feel that I should receive an A for my work. For starters, I did my work and found the solution to the problem. Even after I found the solution, I went beyond that and found the 75% and 90% chance rates. This was before our math teacher told us that we should try and find these values. I also assisted my table mates when they had problems in their work.
How many people do you need in a group for the probability that two people will have the same birthday to become 50%
My Process
The first thing I did was to make it into an algorithm I could use. For example, for 2 people it would be 365/365 multiplied by 364/365. I would then divide the answer by itself to get 99.7%. I would then increase the total number value to 3 so it would be 365,364 and 363. I repeated this process until I got to the answer which was 23. Along the way, I was told that there was an equation that would make the process easier but I had already found the answer.
Other People's Processes
The process that the people at my table used was exactly the same way I did it. They took the total amount of number values and multiplied and divided it. However, at other tables, some people found an equation for the problem. One of these people came to our table and showed it to us. We then applied to a low number and found that the equation worked. By then, my table mates and I were already done with the problem.
The Solution
On the last day of the problem, our math teacher showed us the answer to the Birthday Paradox. He showed us the equation that one of my classmates had. The answer he got was the same answer that everyone got, which was 23. The equation that he used was basically what I did but in equation format.
Assessment of the Problem
I really liked this problem. This wasn't the sort of problem that you can get answer really fast. This was the problem in which you had to think logically in order to solve it. I liked how it was math heavy and the length of time it was required to solve it. By doing this, I got to interact more with my table mates on how to solve the problem. When we first started doing this problem, we tried doing it several ways. We attempted to work backwards but we found that the numbers were too high for the calculator to handle. Instead, we started from the very beginning and worked our way down. We made sure that everyone in the group calculated the same answer so there wouldn't be any confusion.
Self Evaluation
For this assignment, I feel that I should receive an A for my work. For starters, I did my work and found the solution to the problem. Even after I found the solution, I went beyond that and found the 75% and 90% chance rates. This was before our math teacher told us that we should try and find these values. I also assisted my table mates when they had problems in their work.