Home » Manga » [Manga] There were times when I sought the answer to probability problems without calculating, using just human intuition.

[Manga] There were times when I sought the answer to probability problems without calculating, using just human intuition.

  • Manga
  • June 9, 2025
  • 0 Comments

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Alright, here’s the question: What is the probability of rolling doubles with two dice? See? If you really try, it’s easy, right? It’s easy!! No way, this guy is trying to calculate the probability manually without using a formula…!!

1: Japan Otaku Reviews25/06/08(Sun)13:51Yeahx7

The math test in middle school was like this.

2: Japan Otaku Reviews25/06/08(Sun)13:52Yeahx13

The approach to tackling the task is commendable.

3: Japan Otaku Reviews25/06/08(Sun)13:54

Aren’t you going to calculate the expected value of the total of the two dice rolled?

5: Japan Otaku Reviews25/06/08(Sun)13:56

>>3Setting aside what is not too relevant for considering the probability of a repeating number…
If you can calculate that expected value, you can probably calculate the expected value of a double number as well.

4: Japan Otaku Reviews25/06/08(Sun)13:55

It’s a 1/2 chance of coming out or not.

6: Japan Otaku Reviews25/06/08(Sun)13:57Yeahx5

Rather, I don’t understand how to use the formula.
The probability that the second die shows the same number as the first die, regardless of what the first number is, is 1/6, and I can understand that intuitively.

7: Japan Otaku Reviews25/06/08(Sun)13:59Yeahx2

>>6First, there are 36 combinations of 6×6.
And among them, there are 6 combinations that result in the same numbers.
Since it’s 6/36, it’s 1/6.

8: Japan Otaku Reviews25/06/08(Sun)14:00Yeahx1

The probability of getting face Z on the first die A is 1/6.
The probability of rolling that number on the second die B is 1/6.
There are six patterns for a certain eye Z.
1/6 × 1/6 × 6 = 1/6

9: Japan Otaku Reviews25/06/08(Sun)14:01

It seems like there are quite a few people here who might not understand.

10: Japan Otaku Reviews25/06/08(Sun)14:02Yeahx15

dice2d6=1 1 (2)

11: Japan Otaku Reviews25/06/08(Sun)14:02Yeahx49

>>10Got it!
The probability of getting doubles is 100%!

12: Japan Otaku Reviews25/06/08(Sun)14:03

I can’t remember any of the math I learned in junior high or high school at all.
I understand this, but things like sets and matrices are absolutely impossible for me.

13: Japan Otaku Reviews25/06/08(Sun)14:03

How many times do I have to do it to get the correct value?

16: Japan Otaku Reviews25/06/08(Sun)14:05

>>13About 100,000 times?

18: Japan Otaku Reviews25/06/08(Sun)14:06

>>13If you swing it 100 times, it’s perfect for answering in percentage units.

20: Japan Otaku Reviews25/06/08(Sun)14:08

>>13It seems that if you do it about 1000 times with 2 items, it will converge.

14: Japan Otaku Reviews25/06/08(Sun)14:04

I remembered the strategy of actually drawing and measuring in problems that ask to find the length of a line from part of the dimensions of a shape.

15: Japan Otaku Reviews25/06/08(Sun)14:05

What is the probability of rolling two of the same number in Chin-Chiro along with other numbers?

17: Japan Otaku Reviews25/06/08(Sun)14:06

>>151/6 * 5/6 = 5/36

19: Japan Otaku Reviews25/06/08(Sun)14:08

I am smart, so I will write out all the patterns.

24: Japan Otaku Reviews25/06/08(Sun)14:11

>>19Power!

22: Japan Otaku Reviews25/06/08(Sun)14:10

It’s because of 6/6^6…The probability is too low!

23: Japan Otaku Reviews25/06/08(Sun)14:11

1/6!

25: Japan Otaku Reviews25/06/08(Sun)14:14

The technique of writing a tree diagram as small as possible to fit on the edge of the exam paper is honed.

26: Japan Otaku Reviews25/06/08(Sun)14:15

You can understand this in your head without even doing the calculations, right?

33: Japan Otaku Reviews25/06/08(Sun)14:24Yeahx8

>>26I’m calculating that.

27: Japan Otaku Reviews25/06/08(Sun)14:16Yeahx4

Don’t compete with the silly heroine from the manga!

28: Japan Otaku Reviews25/06/08(Sun)14:16

How many times should I swing to make it reasonable? If asked that, I’ll just give up thinking!

29: Japan Otaku Reviews25/06/08(Sun)14:19

Aren’t we going to list all the combinations?

30: Japan Otaku Reviews25/06/08(Sun)14:20

The probability of rolling a 1 on a die numbered 1 to 6 is 1/6, so it’s something you can understand by intuition rather than calculation.

31: Japan Otaku Reviews25/06/08(Sun)14:21

Since the probabilities of the dice rolls are already engraved in my mind, I get a bit confused when told to recalculate.

32: Japan Otaku Reviews25/06/08(Sun)14:21Yeahx2

Becoming or not becoming a double number.
In other words, it means a 50% chance…

34: Japan Otaku Reviews25/06/08(Sun)14:26

Let’s go, let’s go!

35: Japan Otaku Reviews25/06/08(Sun)14:28

The probability that the result of die B is x, given that the result of die A is x, is 1/6.

36: Japan Otaku Reviews25/06/08(Sun)14:32

For a math class assignment, we were told to roll a die 10,000 times and record the results.

37: Japan Otaku Reviews25/06/08(Sun)14:35

>>36Isn’t that a challenge of how to efficiently organize and quickly complete simple tasks?

38: Japan Otaku Reviews25/06/08(Sun)14:36

>>37It could be extremely effective if we think of it as training for collaborative work among students.

54: Japan Otaku Reviews25/06/08(Sun)15:02

>>36This is how it is.

Depending on the dice, the probability of rolling doubles may not be 1/6.

39: Japan Otaku Reviews25/06/08(Sun)14:36

The result of the calculation turns out to be like that!
Alright!
Roll the dice!

40: Japan Otaku Reviews25/06/08(Sun)14:37

I will write everything like 1-1 1-2.

42: Japan Otaku Reviews25/06/08(Sun)14:41

>>40Even if you can’t think of anything, there are many things you can understand just by moving your hands for now.

41: Japan Otaku Reviews25/06/08(Sun)14:39

Is it 1/2 whether we get a double number or not?
dice2d6=1 4 (5)

43: Japan Otaku Reviews25/06/08(Sun)14:41

I think most anonymous users are aware that what they’re saying is a joke.
There are likely some people who think that there’s about a 1 in 2 chance of it being serious, at a ratio of about 1 in 6.

44: Japan Otaku Reviews25/06/08(Sun)14:44

Instead of writing out and counting the patterns, you’re figuring them out in practice…
How many trials are you going to take…?

45: Japan Otaku Reviews25/06/08(Sun)14:48Yeahx1

It seems there are quite a few people who write everything.
I don’t think there are many people who throw dice themselves.

46: Japan Otaku Reviews25/06/08(Sun)14:52

A story about getting scolded by Chiko-chan, calling a probability theory teacher late at night, being answered in a rude manner, and having the phone hung up on me.

47: Japan Otaku Reviews25/06/08(Sun)14:52

Writing everything down is quite effective, you know.
You’ll start to notice it after writing to a certain extent.

49: Japan Otaku Reviews25/06/08(Sun)14:55

The secret of the triangle is, you know.

50: Japan Otaku Reviews25/06/08(Sun)14:55

It’s called a dice.

51: Japan Otaku Reviews25/06/08(Sun)14:58

Kaiji! I want to hear your opinion!

52: Japan Otaku Reviews25/06/08(Sun)15:00

I thought it was unreasonable to assume that a die in such a problem is a standard six-sided die.

55: Japan Otaku Reviews25/06/08(Sun)15:02Yeahx1

>>52I apologize, but generally speaking, dice are assumed to be 6-sided cubes, and coins are assumed to have 2 sides: heads and tails…

56: Japan Otaku Reviews25/06/08(Sun)15:03

>>52It starts by changing the common sense of the world, which is that when you say dice, it means a six-sided die.

53: Japan Otaku Reviews25/06/08(Sun)15:02

It’s like just writing down the answers that can be solved with brute force on a test I completely don’t understand, and getting a few points…

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