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 Blue 4 is an outcome of which of the following events? Select all correct answers. Select all that apply:

(A) Ey
(B) BOR O
(C)R ROR E
(D)RAND E

Answer 1

Drawing the Blue 4 card would be included in the events of drawing a blue card (B) and drawing an even numbered card (E). It would specifically match the events (A) E, (B) B, and (D) B AND E. It would not be included in any event involving drawing a red card (R), which is mutually exclusive to drawing a blue card.

Step-by-step explanation:

The content loaded question is asking which events include the outcome of drawing the Blue 4 card. The deck contains RED cards numbered 1,2,3,4 and BLUE cards numbered 1,2,3,4,5. The events are defined as R for drawing a red card, B for drawing a blue card, E for drawing an even-numbered card, and O for drawing an odd card.

Drawing the Blue 4 card is an outcome of the following events:

• B because it is a blue card.
• E because it is an even number.

Therefore, the correct selections from the given options would be:

• (A) E because it includes even-numbered cards, which the Blue 4 is.
• (B) B because it includes blue cards, and the Blue 4 is a blue card.
• (D) B AND E because the Blue 4 card satisfies both being blue and even-numbered.

Options (C) R and (C) R OR E are not correct because drawing Blue 4 cannot be the outcome of drawing a red card or an event that includes drawing a red card. The events R and B are mutually exclusive.