HWAKLYUL

확률 · PROBABILITY

The Odds Board

The Coin Flip

Every toss is a perfect 50/50 split. The most elegant expression of equal probability — two outcomes, one moment of truth.

P(H) = 1/2 = 0.5

Double Sixes

Rolling two dice and getting double sixes — only a 1 in 36 chance. Rare enough to celebrate, common enough to chase.

P(6,6) = 1/36 ≈ 2.78%

Birthday Paradox

In a room of 23 people, there's a 50% chance two share a birthday. Intuition fails — probability surprises.

P(match) ≈ 1 - (364/365)^(n(n-1)/2)

Monty Hall

Three doors, one prize. Switch and your odds double from 1/3 to 2/3. The most counter-intuitive result in all of probability.

P(win|switch) = 2/3

Gambler's Ruin

Play long enough against a house with any edge and ruin is certain. The math is merciless — infinite play means infinite loss.

P(ruin) → 1 as t → ∞

Law of Large Numbers

As trials increase, the average converges to the expected value. Chaos becomes order — the universe's hidden symmetry revealed.

X̄ₙ → μ as n → ∞

The Wheel of Chance

P
Certain
P = 1
Likely
P > 0.5
Even
P = 0.5
Unlikely
P < 0.5
Rare
P < 0.01
Impossible
P = 0

The Grand Finale

Every moment is a roll of the dice.
Embrace the beautiful uncertainty.

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