Kodzikas

Thank you. It makes sense now.

What is the difference between weak and strong laws of action and reaction? Can you give any examples?

Thank you all. Hope for the best for all of us.

Hello Are you interested in science or you are a scientist? Want to figure out the truth about our Universe? I am a 17 year old from Lithuania who is looking for people around the world to discuss about science and the Universe. Why I am looking for science friends? For a hope to create a better world and to find people that want to know the truth about the Universe. If you are interested, please write to my science forums account.

I have not made any specific simulation. I did tables and the results were as the formula predicted.

Hello. Do you know the Monty Hall problem? It states: "Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?". The contestant should switch to the other door. Under the standard assumptions, contestants who switch have a 2/3 chance of winning the car, while contestants who stick to their choice have only a 1/3 chance. After doing some research I found that there is a formula that can count the probability of winning if switching doors. ( n-1 )/( n(n-2) ) - that is the formula for the probability of winning if switching doors. The n means total number of doors. (try it when n=3, you get 2/3 of winning if changing doors.) Overall, the formula tells the probability of winning only when there is 1 door that has the car and the host only opens one door. I didn't find any mathematical formula that could count the probability of winning if there are more doors with cars and the host opens a lot more doors. So I thought I could create it. After doing combinatorics and lots of tables. I found the formula: ( x*(n-1) )/( n(n-y-1) ), the x means the number of doors with cars in it and the y means the number of doors the host opens (with the goats). n is the same, mean the number of all doors. The formula is simplyfied and at first it was a long one with lots of factorials. Eg.: We have 5 doors in total, 2 have cars and the host opens 2 doors. At first you choose a door and you have a probability of winning : 2/5, but if you switch doors after the host opens the 2 doors, you have a probability of winning (my formula says) : 8/10=4/5 I made a paper about this (but it's in my native language) and I'm 16 years old. I want to hear thoughts about my mathematical formula. Has anybody found a paper, that has a formula like that in probability and ect.? I might have not proven the formula, because it takes a lot to write the proof. But it tells the probability of winning if there is a change (like the host opens the doors). What do you people think?