Question

fill in the blanks so that the resulting statement is true. because p(e) + p(not e) = 1, then p(not e)=____ and p(e)=____.

Explanation:

Step1: Isolate P(not E)

Given $P(E)+P(\text{not }E) = 1$, subtract $P(E)$ from both sides. So $P(\text{not }E)=1 - P(E)$.

Step2: Isolate P(E)

Given $P(E)+P(\text{not }E) = 1$, subtract $P(\text{not }E)$ from both sides. So $P(E)=1 - P(\text{not }E)$.

Answer:

$P(\text{not }E)=1 - P(E)$ and $P(E)=1 - P(\text{not }E)$