Two events are independent if they do not influence each other.
Events A and B are independent
if and only if P (A ∩ B) = P (A) P (B)
For any two events A and B with P(B) ˃ 0,
the conditional probability of A given B has occurred is defined by
P (A | B) = \(\frac{P (A ∩ B)}{P (A)}\)
P(A | B) + P(\(A^c\) | B) =1 |
P (A ∩ B) = P (A | B)P (A)
Then A and B are independent
if and only if either of the statements is true
P (A) = P (A | B)
Sensitivity is complementary to the false negative rate.
P(T | D) + (\(T^c\) | D) = 1
• Specificity is complementary to the false positive rate.
ccc P(\(T^c\) | \(D^c\))+(T | \(D^c\))= 1