Problem

QUESTION $22 \cdot 1$ POINT
A deck of cards contains red cards numbered $1,2,3$ and blue cards numbered $1,2,3,4,5,6,7$. Let $R$ be the event of drawing a red card, $B$ be the event of drawing a blue card, $E$ be the event of drawing an even-numbered card, and $O$ be the event of drawing an odd card.

Drawing the blue 4 is an example of which of the following events? Select all correct answers.

Select all that apply:
$R^{\prime}$
$R O R O$
$R$ AND $O$
$R$ OR $E$

Answer

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Answer

\(\boxed{R', R \text{ OR } E}\)

Steps

Step 1 :The question is asking which events the action of drawing a blue 4 falls under. The events are defined as follows: $R$: Drawing a red card, $B$: Drawing a blue card, $E$: Drawing an even-numbered card, $O$: Drawing an odd card, $R'$: Not drawing a red card, $R O R O$: This seems to be a typo or a nonsensical event, as it would imply drawing a red card, then an odd card, then a red card, then an odd card, which is not possible in a single draw, $R$ AND $O$: Drawing a card that is both red and odd-numbered, $R$ OR $E$: Drawing a card that is either red or even-numbered.

Step 2 :Drawing a blue 4 would fall under the events $B$, $E$, $R'$, and $R$ OR $E$. It is a blue card, it is even-numbered, it is not a red card, and it is either red or even-numbered (in this case, even-numbered).

Step 3 :Therefore, the correct answers are $R'$ and $R$ OR $E$.

Step 4 :\(\boxed{R', R \text{ OR } E}\)

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