Which of the following is a pair of events which are mutually exclusive? Rolling a four on a six sided die and on a four sided line.

Making rice and making corn.

Sleeping in late and waking up early.

Going to work and riding the bus.

C. Sleeping in late and waking up early.

Explanation:

Two or more events are said to be mutually exclusive if and only if they can't happen at the same time.

Going with the above brief analysis, we.can easily say which of the pair of events is not mutually exclusive.

1. Rolling a 4 on a six-sided die and on a four-sided die

It's 100% possible to have an outcome of 4 when a 4 sided die and when a 6 sided die are rolled, whether at the same time or on different occasions. So, this pair of events are not mutually exclusive

2. Making rice and making corn

This pair of events are not mutually exclusive because it's possible to make rice and corn at the same time either together as a meal or separately using different cooking utensils

3. Sleeping in late and waking up early

This pair of events are mutually exclusive. This is so because literally, it's not possible to sleep late and wake up early at the same time.

You sleep early to wake early and you sleep late to wake late.

4. Going to work and riding the bus.

This pair of events are not mutually exclusive because they can occur at the same time when you go to work a bus.

So, option C is the correct answer

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