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

We are given a deck of cards with: • RED cards: numbered 1, 2, 3 • BLUE cards: numbered 1, 2, 3, 4, 5, 6 The events are defined as: R = drawing a red card B = drawing a blue card E = drawing an even numbered card O = drawing an odd numbered card We are asked about drawing the Blue 4. Let’s analyze: 1. It is a Blue card, so it belongs to B. 2. Its number is 4, which is an even number, so it belongs to E. 3. It is not a Red card, so it does NOT belong to R. 4. Since its number is even, it is NOT an odd card, so it does NOT belong to O. Now check each option: □ R OR O – This means the card is either red or odd. Since Blue 4 is neither red nor odd, it does NOT satisfy this event. □ B AND O – This requires the card to be blue AND odd. Although Blue 4 is blue, it is not odd, so it does NOT satisfy this. □ R OR E – This requires the card to be red OR even. Blue 4 is even, so it DOES satisfy this event. □ R′ – R′ is the complement of R i.e., not being red. Since Blue 4 is not red, it DOES satisfy this event. □ E′ – E′ is the complement of E i.e., not having an even number (so the card would be odd). Blue 4 has an even number, so it does NOT satisfy E′. Thus, the correct answers are "R OR E" and "R′".