Question

Which expression represents the probability of the union of not A and not B? (A' B')(AUB)P(AUB)P(An B')

Answer 1

We are asked to determine the expression that represents the probability of the union of not A and not B. If we represent not A and not B as:

$\begin{gathered} \text{not A = A'} \\ \text{not B = B'} \end{gathered}$

The union is represented as:

$A^{\prime}\cup B^{\prime}$

And if we want to represent probability we use:

$P(A^{\prime}\cup B^{\prime})$

And thus we get the representation.