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Which of the following pairs of events are mutually exclusive?

Select all correct answers.

Select all that apply:

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 bigger 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 of cards and getting a face card

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



Sagot :

Answer:

The pairs of events that are mutually exclusive are:

Step-by-step explanation:

1. 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

These events are mutually exclusive because rolling a 1 is an odd number, and you can't roll both an odd number (1) and an even number at the same time.

1. 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

These events are mutually exclusive because a card can't be both red and black at the same time.

The other pairs of events are not mutually exclusive because:

- You can roll an even number and a number bigger than 4 (e.g., rolling a 6).

- You can draw a face card and a red card (e.g., drawing the red Queen).

Mutually exclusive events can't occur at the same time, whereas non-mutually exclusive events can occur together.

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