Question

Question

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

R AND O
B OR E
B AND O
B OR O
E′
R′

Answer 1

The correct answer for the question is that drawing the Red 3 card is an example of the event R AND O, representing drawing a red card and an odd-numbered card.

Step-by-step explanation:

The student's question involves a deck of cards with red and blue cards, each numbered respectively. Drawing the Red 3 card corresponds to multiple events. The event R represents drawing a red card, and the event O represents drawing an odd-numbered card. Since the Red 3 card is both red and odd-numbered, it is an example of the event R AND O. None of the other events listed (B OR E, B AND O, B OR O, E', R') correspond to drawing the Red 3 card. This is because the card is not blue (B), not even-numbered (E), and not the complement of either red (R') or even (E').