Answer:
[tex]P(D\ and\ P^c)[/tex] or [tex]P(D\ and\ P')[/tex]
Step-by-step explanation:
Given
P = Test is positive
D = Disease is present
Required
Write an expression when disease is present but test says that the disease is not present
The above statement can be split to two
Disease is Present & Test is not positive
The first statement:
Disease is Present means D
The second statement
Test is not positive means not P
Mathematically;
not P means P' or [tex]P^c[/tex]
So, the required expression is: [tex]P(D\ and\ P^c)[/tex] or [tex]P(D\ and\ P')[/tex]
