Odpowiedź:
Zad 1
Ω = 6² = 36
a)
A = {(4, 4), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)}
P(A) = [tex]\frac{9}{36}[/tex] = [tex]\frac{1}{4}[/tex]
b)
B = {(4, 6), (5, 5), (6, 4)}
P(B) = [tex]\frac{3}{36}[/tex] = [tex]\frac{1}{12}[/tex]
c)
C = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),
(2, 1), (2, 2), (2, 3), (2, 4),
(3, 1), (3, 2), (3, 3),
(4, 1), (4, 2),
(5, 1),
(6, 1)}
P(C) = [tex]\frac{17}{36}[/tex]
d)
D = {(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),
(1, 6), (2, 6), (3, 6), (4, 6), (5, 6)}
P(D) = [tex]\frac{11}{36}[/tex]
Zad 2.
a)
Ω = 2³ = 8
A = {(o, o, r), (o, r, o), (r, o, o)}
P(A) = [tex]\frac{3}{8}[/tex]
b)
B = {(o, o, r), (o, r, o), (r, o, o), (o, o, o)}
P(B) = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
