Probabilités - Sebjaumaths

Ω
Ω
∅
Ω =
ΩAΩ
A¯ AΩ
A
A=
¯
A=
ΩA B Ω
A B A ∪B
ΩA B

A=
B=
A∪B=
ΩA B Ω
A B A ∩BΩ
A B
A=
B=
A∩B=
ΩA B Ω
A B
A∩B=∅
A=
B A B
B=
ΩP
•P(Ω) = 1
•P(A∪B) = P(A) + P(B)A B

PΩ
•P(∅) = 0
•A06P(A)61
•A
A={a1;a2;...;an}
P(A) =
n
X
i=1
P({ai})
A=
P(A) =
•P({1}) = 1
12
•P({2}) = P({3}) = P({4}) = P({5}) = 1
8
•P({6}) = 5
12
B
P(B) =

Ω
n1
n
A
P(A) = = Ω
A=
P(A) =
ΩA B
•P(¯ A)=1−P(A)
•P(A∪B) = P(A) + P(B)−P(A∩B)
•P(A∪B) = P(A) + P(B)A B
A=
B=
P(A∪B) =