Теория вероятностей. Барышева В.К - 28 стр.

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A
B
P (A | B) = P (A); P (B | A) = P (B) P (AB) = P (A)P (B).
n A
1
, A
2
, A
3
, ..., A
n
:
P (A
1
· A
2
· A
3
· . . . · A
n
) = P (A
1
) · P (A
2
) · . . . · P (A
n
).
A B
A B)
P (A + B) = P (A) + P (B) P (AB).
P (A
1
+ A
2
+ ··· + A
n
) =
= P (A
1
) + P (A
2
) + ··· + P (A
n
) P (A
1
A
2
)
··· P (A
1
A
3
) ··· P (A
n1
A
n
) P (A
1
A
2
A
3
)
P (A
n2
A
n1
A
n
) ··· P (A
1
A
2
···A
n
).
A = A
1
+ A
2
+ A
3
+ ···+ A
n
P (A) = 1 P (A
1
+ A
2
+ A
3
+ ··· + A
n
) =
= 1 P (A
1
· A
2
· A
3
· . . . · A
n
) =
= 1 P
A
1
· P
A
2
· P
A
3
· . . . · P
A
n
.
P (A) = 1 q
1
q
2
···q
n
,