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.