Теория вероятностей. Барышева В.К - 29 стр.

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q
i
= 1 − P
i
P
1
= P
2
= . . . = P
n
= P, 1 − P = q,
P (A) = 1 − q
n
.
H A B
(A + B) P (A) =
15
30
=
1
2
P (B) =
10
30
=
1
3
A B P (A+B) = P (A)+P(B) =
1
2
+
1
3
=
5
6
∼
=
0.83 N
A
0.6, B 0.45.
AB 0.25.
H A B P (A + B) = P(A) +
P (B) − P (AB) = 0.6 + 0.45 − 0.25 = 0.8 N
H A B
C P (A) =
2
12
=
1
6
P (B)
3
12
=
1
4
P (C) =
6
12
=
1
2
ABC A, B, C
P (ABC) P (A)· B)· C)
1
6
·
1
4
·
1
2
=
1
48
∼
=
0.02. N
5
0.1; 0.2; 0.3; 0.2; 0.1.
A
H
A
i
(i
i A
i
P (A
1
) = 0.1; P (A
2
) =
0.2; P (A
3
) = 0.3; P (A
4
) = 0.2; P (A
5
) = 0.1. P (A
1
) = 0.9; P (A
2
) = 0.8; P (A
3
) =
0.7; P (A
4
) = 0.8; P (A
5
) = 0.9.

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