Vierfeldertafel
a)
A | ¬A | ||
B | 17% | 35% - 12% = 23% | 17% + 23% = 40% |
¬B | 65% - 17% = 48% | 12% | 48% + 12% = 60% |
100% - 35% = 65% | 35% | 100% |
b)
P(B | ¬A) = P(B ∧ ¬A) / P(¬A)= 23/35 = 65.71%
P(¬B | A) = P(¬B ∧ A) / P(A) = 48/65 = 73.85%
P(A | B) = P(A ∧ B) / P(B) = 17/40 = 42.5%
P(¬A | ¬B) = P(¬A ∧¬B) / P(¬B) = 12/60 = 20%
c)