A deck of cards contains RED cards numbered \( 1,2,3,4 \) and BLUE cards numbered \( 1,2,3,4,5,6 \). 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 numbered card. Drawing the Red 3 is an outcome in which of the following events? Select all correct answers. Select all that apply: \( \square R \) AND \( O \) \( \square B \) OR \( E \) \( \square \cdot R^{\prime} \) \( \square E^{\prime} \) \( \square E \) OR \( R \)

Let's break down the events for clarity. The Red 3 is a red card, hence it belongs to event \( R \). It is also an odd numbered card, placing it within the event \( O \). So, the correct selections here would be: 1. \( \boxed{R \text{ AND } O} \) – because it's a red card and it's odd. The other events involve either blue cards or even numbered cards. Specifically: - \( \text{B} \) refers to blue cards and does not include the Red 3. - \( \text{E} \) refers to even cards, and Red 3 is odd, so it does not belong there. - \( R' \) indicates the opposite of event \( R \), so the Red 3 cannot be included. - \( E' \) is the complement of event \( E \) (odd cards), but the wording might be misinterpreted when looking for "OR" conditions. Thus, the only valid selection for the Red 3 is: - \( R \text{ AND } O \) - \( E' \text{ refers to odd cards, which includes } R3? \) **(context clarification needed)** It looks like the right selections you would mark would be **\( R \text{ AND } O \)**, and leave the others unchecked.