Recall in a 52 standard deck of cards, half the cards are red and half the cards are black. Also, face cards can be red or black.

 Which of the following pairs of events are mutually exclusive?

Select all correct answers.

Recall in a 52 standard deck of cards, half the cards are red and half the cards are black. Also, face cards can be red or black.

 Event A: rolling a 6-sided fair number cube and getting an even number

Event B: rolling a 6-sided fair number cube and getting a number greater than 4
Event A: rolling a 6-sided fair number cube and getting 1
Event B: rolling a 6-sided fair number cube and getting an even number

Event A: drawing a card from a 52-card standard deck and getting a red face card

Event B: drawing a card from a 52-card standard deck and getting a black card

Event A: drawing a card from a 52-card standard deck and getting a face card

Event B: drawing a card from a 52-card standard deck and getting a red card

Answer Explanation
Correct answer:
Event A: rolling a 6-sided fair number cube and getting 1
Event B: rolling a 6-sided fair number cube and getting an even number

Event A: drawing a card from a 52-card standard deck and getting a red face card

Event B: drawing a card from a 52-card standard deck and getting a black card

In the second answer choice, Event A is 1 and Event B is 2,4,6. Since the events have no outcomes in common, they are mutually exclusive.

In the third answer choice, note that a card cannot be both red and black, so it cannot be a red face card and black, so Event A and Event B have no outcomes in common. Therefore, they are mutually exclusive.

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