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A complex probability question
#1
There is a box with 2324784 bullets. Balls are divided into 5 groop and there is a definition for each groop and how many balls and what is the probability of getting each groop. The game with the return of the balls
There is a box with 2324784 bullets. Balls are divided into 5 groop and there is a definition for each groop and how many balls and what is the probability of getting each groop. The game with the return of the balls

List the probability and quantity

groop 1 906192 0.389796213
groop 2 1006880 0.433106904
groop 3 143840 0.061872415
groop 7 215760 0.092808622
groop 8 52112 0.022415846

Question: Is it possible to calculate the best groop probability for any amount of games- 2324784 games

Actions I performed and i failed

Making a probability tree impossible
1- The tree grows mediocre 5 options 25 options 125 options and so on

2. Binomial distribution - After 500 can not be calculated

3. Ramsey theory - very complex

If there is anyone sharp here I would love to hear a new theory

Thank you to all respondents
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#2
Here are my tentative answers

1. I asked God for a bike, but I know God doesn’t work that way. So I stole a bike and asked for forgiveness.
2. Sex is not the answer. Sex is the question. “Yes” is the answer.
3. Light travels faster than sound. This is why some people appear bright until you hear them speak.
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#3
Do you have an answer on the matter?

here is a pitcher with 2324784 balls.

Number of balls in red color 906192 Probability in game 0.389796213
Amount of balls in blue color 1006880 Probability in game 0.433106904
Amount of balls in yellow color 143840 Probability in game 0.061872415
Amount of balls in 215760 Probability per game 0.092808622
The amount of balls in pink 52112 probability in the game 0.022415846

Games 2324784 Games. In each round, the ball that is returned is returned.
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#4
While this forum does have a "Do this math problem for me" section (https://www.degreeforum.net/mybb/Forum-W...lem-for-me), it's not very active and you're not likely to get much input, as the focus of this forum is alternative credit, online degrees, and unconventional education options.

You'd probably have more luck on a forum specifically suited for "homework help," of which there are many out there.
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#5
In the initial post you said the box was full of bullets. The odds of selecting a ball, of any color, from a box of bullets is 0. I hope that helps.

Also, if you have a box with 2.3 million bullets a) that is a really big box and b) you should probably contact dfrecore or LevelUP. They can help you if you are looking to get rid of those bullets.
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