확률 경우의 수 기대값 조건부 독립

확률

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The architecture of chance

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⚂

⚃

⚄

⚀

⚆

You flip a coin.

Heads

P(H) = 0.5

Tails

P(T) = 0.5

HH

P = 0.25

HT

P = 0.25

TH

P = 0.25

TT

P = 0.25

HHH
0.125

HHT
0.125

HTH
0.125

HTT
0.125

THH
0.125

THT
0.125

TTH
0.125

TTT
0.125

The probability of this exact sequence:

1.00000000

Every random event is a small miracle of mathematics

P(A∩B) = P(A) × P(B|A)

σ = -3

0.1%

σ = -2

2.3%

σ = -1

15.9%

34.1%

μThe Mean

34.1%

15.9%

σ = +1

2.3%

σ = +2

0.1%

σ = +3

P = 0.12

P = 0.08

P = 0.23

P = 0.05

P = 0.31

P = 0.02

P = 0.15

P = 0.04

It happened.

P = 0.12

P = 0.08

P = 0.23

P = 0.05

확률의 세계에 오신 것을 환영합니다

Welcome to the world of probability

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∑ σ μ P ∫ ∞