赤の面積は青の面積の何倍くらい?【ゆっくり解説】

When three points are randomly selected within the circle, we calculate (expected value of the red area)/(expected value of the blue area). As a bonus, we will also calculate the expected value of the blue area itself. (High school calculus is assumed to be known.) References: G. R. Grimmett and D. R. Stirzaker, One Thousand Exercises in Probability: Third Edition (English Edition), Oxford University Press, 2020, p. 64. https://math.stackexchange.com/questi... (viewed 2025-06-28) 0:00 Problem 0:46 Supplementary information 1:24 Hint 2:13 Solution 5:40 Bonus Part 1 8:29 Bonus Part 2 11:03 Bonus Part 3 13:11 Bonus of the bonus Music: MusMus === X: https://x.com/evima0 Discord:   / discord  

Bought an 11-Ton LEGO Container! (No Clickbait)
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Bought an 11-Ton LEGO Container! (No Clickbait)

Can a 1×√2 Rectangle Be Tiled with Squares?
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Can a 1×√2 Rectangle Be Tiled with Squares?

Can You Measure 3000√2-4211 Minutes with a 1-Minute and √2-Minute Hourglass? [English Subtitles]
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Can You Measure 3000√2-4211 Minutes with a 1-Minute and √2-Minute Hourglass? [English Subtitles]

Which is Bigger: Fukasetsu Fukasetsuten or Graham's Number? [English Subtitles]
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Which is Bigger: Fukasetsu Fukasetsuten or Graham's Number? [English Subtitles]

21 Weird Ways to Say Hello, World! 1,000,000 Times [English Subtitles]
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21 Weird Ways to Say Hello, World! 1,000,000 Times [English Subtitles]

What is the simplest possible game?
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What is the simplest possible game?

How Euler's Number Was Discovered
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How Euler's Number Was Discovered

【マイクラ】全知全能の最強AI『ベリティ』を本気で討伐してみた.. ~海外で大バズりしている「会話ができるモブ」を調査&解説~【マインクラフト】【まいくら】【検証】【verity】
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【マイクラ】全知全能の最強AI『ベリティ』を本気で討伐してみた.. ~海外で大バズりしている「会話ができるモブ」を調査&解説~【マインクラフト】【まいくら】【検証】【verity】

【総集編】理学部数学科の4年間を一気見
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【総集編】理学部数学科の4年間を一気見

THE Hardest Problem in Competitive Programming [English Subtitles]
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THE Hardest Problem in Competitive Programming [English Subtitles]

【頭脳ゲーム】数学オリンピックで出題された問題がムズすぎる【3年ぶり2度目】
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【頭脳ゲーム】数学オリンピックで出題された問題がムズすぎる【3年ぶり2度目】

[Euler's Constant] A mysterious mathematical constant even more mysterious than Pi [Slow Explanat...
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[Euler's Constant] A mysterious mathematical constant even more mysterious than Pi [Slow Explanat...

Family Basic [Program/Technical]
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Family Basic [Program/Technical]

【1から完全解説】ネイピア数のすべてを徹底解説します。 【ゆっくり解説】
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【1から完全解説】ネイピア数のすべてを徹底解説します。 【ゆっくり解説】

Was Ihr über Sonnencreme wisst, ist falsch (und ich bin mit schuld)
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Was Ihr über Sonnencreme wisst, ist falsch (und ich bin mit schuld)

Crimea Situation Is Insane
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Crimea Situation Is Insane

五次方程式には解の公式がありました【ゆっくり解説】
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五次方程式には解の公式がありました【ゆっくり解説】

[Seriously?] The proof of "Pi = 2" is insane. A mathematical trap that defies intuition.
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[Seriously?] The proof of "Pi = 2" is insane. A mathematical trap that defies intuition.

Why Did CAD Software Become Free? ── 40 Years of 3D-CAD Democratization
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Why Did CAD Software Become Free? ── 40 Years of 3D-CAD Democratization

【大いなる疑問】なぜ大きな動物ほど魚を食べなくなるのか【ゆっくり解説】【雑学】
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【大いなる疑問】なぜ大きな動物ほど魚を食べなくなるのか【ゆっくり解説】【雑学】