Chapter 16, Problem 33E

Consider the sample space $S=\left\{o_1,o_2,o_3,o_4,o_5\right\}$. Suppose that $\text{Pr}\left(o_1\right)=0.22$ a $\text{Pr}\left(o_2\right)=0.24$.

a. Find the probability assignment for the probability space when $o_3$, $o_4$, and $o_5$ all have the same probability.

b. Find the probability assignment for the probability space when $\text{Pr}\left(o_5\right)=0.1$ and $o_3$ has the same probability as $o_4$ and $o_5$ combined.