An experiment consists of selecting a card from a standard deck of playing cards and noting whether the card is black (B) or red (R). What are the events of this experiment?
A) {B, R}, {R, B}
B) {Ø}, {B}, {R}
C) {B}, {R}, {B, B}, {R, R}
D) {Ø}, {B}, {R}, {B, R}
E) {Ø}, {B, R}, {R, B}, {R, R}, {B, B}

Question

An experiment consists of selecting a card from a standard deck of playing cards and noting whether the card is black (B) or red (R). What are the events of this experiment? ​
A) {B, R}, {R, B}
B) {Ø}, {B}, {R}
C) {B}, {R}, {B, B}, {R, R}
D) {Ø}, {B}, {R}, {B, R}
E) {Ø}, {B, R}, {R, B}, {R, R}, {B, B}

Quizplus · Accepted Answer

The events are either selecting a black card (B), a red card (R), or selecting no card at all (Ø). Option D includes all of these events and no extra ones, making it the best choice. Option A includes two events that are the same except for order, which is unnecessary. Option B includes an empty set, which is not a valid event for this experiment. Option C includes events that involve selecting two cards, which is not how the experiment is described. Option E includes events that involve selecting both red and black cards, which is also not how the experiment is described.

An Experiment Consists of Selecting a Card from a Standard