1. EVENTOS
1. C= Tiene cuentas de ahorro CDT= tiene CDT
C'= No tiene cuentas de ahorro CDT'= No tiene CDT
P (C)= 0.65
P (C ∩CDT)= 0.30
P ( CDT/C) = P (CDT ∩C) / P (C)
= 0.30 / 0.65
= 46%
2. B= Localizada en Bogotá M= Localizada en Medellín
B'= No localizada en Bogotá M'= No localizada en Medellín
P (B)= 0.33
P (M)= 0.26
P (B U M) = 0.51
P (B U M) = P (B)+ P (M) - P (B ∩M)
P ( B U M) - P (B) - P (M) = -P (B ∩M)
0.51 -0.3 - 0.26 = -P (B ∩M)
-0.08 = -P (B ∩M)
0.08 = P (B ∩M)
P (B' ∩M') = 0.49 ~ 49%
3. A B C Total
D 0.05 0.10 0.15 0.30
I 0.35 0.25 0.10 0.70
Total 0.40 0.0.34 0.25 1
a. P (C/I) = P (C ∩I)/ P (I) = 0.10 /0.70 = 14%
b. P (D ∩A)= P (D ∩A)/P (A) = 0.50/0.40 = 12.5%
c. P (B/D) + (C/D)
P (B U C/D) = P [(B U C) ∩D]/ P(D)
P[(B ∩D) + P (C ∩D)]/ P(D)
= 0.10 + 0.15/0.30 = 0.25/0.30 = 83.3%

2. P (B ∩D)/ P(D) + P (C ∩B)/ P(D)
=0.10/0.30 + 0.15/0.30
=0.10+0.15/0.30
=0.25/0.30 = 83.3%
● P (C U I)= P(C) + P(I) - P(C ∩I)
=0.25 + 0.70 - 0.10
= 0.85 ~ 85%
4. P(A)= 0.32
P(B)= 0.28
P(A AB)= 0.12
A A ' Total
B 0.12 0.16 0.28
B' 0.20 0.52 0.72
Total 0.32 0.68 1
a. P(A') = 0.68
b. P(A' ∩B) = 0.16
P(A' ∩B) = P(B)- P(A ∩B)
= 0.28- 0.12 = 0.16
c. P(A U B)= P (A) + P (B) - P (A ∩B)
=0.32 + 0.28 - 0.12
=0.48 ~ 48%
d. P (A ∩B')= 0.20
e. P(A U B)'= 1-0.48
= 0.52~ 52%
f. P (A' U B) = P (A')+P (B) - P (A' ∩ B)
= 0.68 + 0,28 - 0.16
=0.80 ~ 80%

3. A= Se cierra EPS Armenia
A'=No se cierre EPS Armenia
P= Se cierre EPS Pereira
P'= No se cierre EPS Pereira
P (A)= 0.48
P (B)= 0.36
P (A U P)= 0.625
P (A ∩B)= 0.215
A A'
P 0.215 0.145 0.36
P' 0.265 0.375 0.64
0.480 0.52 1
P (A U P)= P (A) + P (P) - P (A ∩P)
P (A U P) - P (A) - P(P) = - P (A ∩P)
0.625 - 0.48 - 0.36= - P (A ∩P)
- 0.215 = - P (A ∩P)
0,215= P (A ∩P)
P(A' ∩P') = 0.375 ~ 37.5 %