\begin{tabular}{l} Question \ A deck of cards contains RED cards numbered $$ 1,2,3,4,5 $$ and BLUE cards numbered 1,2 . Let $$ R $$ be the event of drawing a \ red card, $$ B $$ the event of drawing a blue card, $$ E $$ the event of drawing an even numbered card, and $$ O $$ the event of drawing \ an odd card. \ Drawing the Red 1 is one outcome of which of the following events? Select all correct answers. \ Select all that apply: \ B AND $$ O $$ \ $$ \square B $$ OR $$ E $$ \ $$ \square B $$ OR $$ O $$ \ $$ \square O^{\prime} $$ \ $$ \square E^{\prime} $$ \ $$ \square R $$ AND $$ E $$ \ \hline\end{tabular}

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UpStudy AI · Accepted Answer

To determine which events the outcome of drawing the Red 1 belongs to, we first need to clarify the definitions of the events:

- **Event $$ R $$**: Drawing a red card. The red cards are $$ 1, 2, 3, 4, 5 $$.
- **Event $$ B $$**: Drawing a blue card. The blue cards are $$ 1, 2 $$.
- **Event $$ E $$**: Drawing an even numbered card. The even cards are $$ 2, 4 $$ (from red) and $$ 2 $$ (from blue).
- **Event $$ O $$**: Drawing an odd numbered card. The odd cards are $$ 1, 3, 5 $$ (from red) and $$ 1 $$ (from blue).

Now, let's analyze the outcome of drawing the Red 1:

1. **$$ B $$ AND $$ O $$**: 
   - Red 1 is not a blue card, so this event does not apply. 
   - **Not applicable**.

2. **$$ B $$ OR $$ E $$**: 
   - Red 1 is not a blue card, but it is not an even card either. 
   - **Not applicable**.

3. **$$ B $$ OR $$ O $$**: 
   - Red 1 is not a blue card, but it is an odd card. 
   - **Applicable**.

4. **$$ O^{\prime} $$**: 
   - $$ O^{\prime} $$ refers to not drawing an odd card. Since Red 1 is an odd card, this event does not apply. 
   - **Not applicable**.

5. **$$ E^{\prime} $$**: 
   - $$ E^{\prime} $$ refers to not drawing an even card. Since Red 1 is not an even card, this event applies. 
   - **Applicable**.

6. **$$ R $$ AND $$ E $$**: 
   - Red 1 is a red card, but it is not an even card. 
   - **Not applicable**.

Based on this analysis, the applicable events for drawing the Red 1 are:

- $$ B $$ OR $$ O $$
- $$ E^{\prime} $$

Thus, the correct answers are:

- $$ \square B $$ OR $$ O $$
- $$ \square E^{\prime} $$
Drawing the Red 1 belongs to the events $$ B $$ OR $$ O $$ and $$ E^{\prime} $$.

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