Question 1
Step 1:
Probability theorem.
The probability that an event occurs + Probability that an event did not occur = 1
Step 2:
[tex]\begin{gathered} \text{Probability that event E occur P(E) = }\frac{2}{3} \\ \text{Probability that event E did not occur q(E) = ?} \end{gathered}[/tex]
Step 3
[tex]\begin{gathered} p(E)\text{ + q(E) = 1} \\ \frac{2}{3}\text{ + q(E) = 1} \\ q(E)\text{ = 1 - }\frac{2}{3} \\ q(E)\text{ = }\frac{1}{3} \end{gathered}[/tex]
Final answer
The probability that E will not occur = 1/3
