Question

A deck of cards contains RED cards numbered 1,2,3,4 and BLUE cards numbered 1,2,3,4,5. 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 4 is an example of which of the following events? Select all correct answers.
Select all that apply:

B′
R AND O
B OR O
B AND O
B AND E
R AND E

Answer 1

Drawing the Red 4 is an example of the events B' (the complement of drawing a blue card) and R AND E (drawing a red card that is also even-numbered).

Step-by-step explanation:

The student has a deck with red and blue cards, each set numbered 1 to 4 for red and 1 to 5 for blue. The question asks which events describe drawing the red card numbered 4 from this deck. Here are the possible events:

• B': This is the event of drawing a card that is not blue. Since the card is red, this event includes drawing the Red 4.
• R AND E: This is the event of drawing a red card (R) that is also an even number (E). The Red 4 satisfies both conditions.

The other listed events do not describe drawing the Red 4 card:

• R AND O: This would require the card to be red and odd, which the Red 4 is not.
• B OR O: This involves drawing either a blue card or an odd card; the Red 4 is neither.
• B AND O: Requires both blue and odd, which doesn't apply to the Red 4.
• B AND E: Involves drawing a card that is both blue and even; again, this does not include the Red 4.