91影视

As per the information given in the question, one notes down the events and assigns those initials. Let鈥檚 assign-

E = Economy

NS = National Security

N = Not Sure

The sample points are 鈥� $\left\{\mathbf{E}\mathbf{,}\mathbf{NS}\mathbf{,}\mathbf{N}\right\}$

Given, one could ascertain that 45% of voters said that 鈥渆conomy鈥� is the main issue affecting their choice. The probability of selecting a random voter whose choice affects the economy is $\mathbf{P}\mathbf{\left(}\mathbf{E}\mathbf{\right)}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{45}$

Given, one could ascertain that 35% of voters said that 鈥渘ational security鈥� is the main issue affecting their choice. The probability of selecting a random voter whose choice affects national security is $\mathbf{P}\mathbf{\left(}\mathbf{NS}\mathbf{\right)}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{35}$

As per the information provided in the question, one could ascertain that 20% of the voters said that they are not sure about the main issue affecting their choice. The probability of selecting a random voter who is not sure is P(N) = 0.20

The probabilities calculated in steps 1 to 3 can be assigned as $\mathbf{P}\mathbf{\left(}\mathbf{E}\mathbf{\right)}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{45}\mathbf{,}\mathbf{P}\mathbf{\left(}\mathbf{NS}\mathbf{\right)}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{35}\mathbf{,}\mathbf{P}\mathbf{\left(}\mathbf{N}\mathbf{\right)}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{20}$respectively.

We note down the result obtained in Step 2. The result obtained is $\mathbf{P}\mathbf{\left(}\mathbf{E}\mathbf{\right)}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{45}$ and $\mathbf{P}\mathbf{\left(}\mathbf{NS}\mathbf{\right)}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{35}$

Now, let ENS represent the event that the main issue affecting randomly selected voter鈥檚 choice is either the economy or national security. ENS will represent the combined probability of 鈥榚conomy鈥� and 鈥榥ational security.

$\mathbf{P}\mathbf{\left(}\mathbf{ENS}\mathbf{\right)}\mathbf{=}\mathbf{P}\mathbf{\left(}\mathbf{E}\mathbf{\right)}\mathbf{+}\mathbf{P}\mathbf{\left(}\mathbf{NS}\mathbf{\right)}$

$$\begin{gathered} \mathbf{=}\mathbf{0}\mathbf{.}\mathbf{45}\mathbf{+}\mathbf{0}\mathbf{.}\mathbf{35} \\ \mathbf{=}\mathbf{0}\mathbf{.}\mathbf{80} \end{gathered}$$