A deck of cards contains RED cards numbered \( 1,2,3 \) 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 3 is an example of which of the following events? Select all correct answers. Select all that apply: \( \square O^{\prime} \) \( \square B \) OR \( E \) \( \square B \) OR \( O \) \( \square B^{\prime} \) \( \square B \) AND \( E \) \( \square E^{\prime} \) \( \square \)
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Sure! Let's break down the event of drawing the Red 3: 1. **Red 3** is an odd number (so it belongs to the event \( O \)), which means it does not belong to the even numbered cards (event \( E \)). Therefore, it is NOT part of event \( E \) and is indeed part of \( O \). 2. Since Red 3 is red, it cannot be a blue card (event \( B \)). So we can exclude options involving \( B \) directly. Now, let's evaluate the options: - \( O^{\prime} \): This is NOT correct as Red 3 is odd (part of event \( O \)). - \( B \) OR \( E \): This is NOT correct since Red 3 is not blue and is not even. - \( B \) OR \( O \): This is correct as Red 3 is odd. - \( B^{\prime} \): This is correct since Red 3 is red (not blue). - \( B \) AND \( E \): This is NOT correct because Red 3 is neither blue nor even. - \( E^{\prime} \): This is correct since Red 3 is odd and is hence not even. So the correct answers to select would be: - \( B \) OR \( O \) - \( B^{\prime} \) - \( E^{\prime} \)