List all possible events in the sample space with outcomes A, B, and C.
What sample space?
In my book they did not give any sample space.
To determine all possible events in the sample space with outcomes A, B, and C, we need to consider all possible combinations of these outcomes.
The sample space is the set of all possible outcomes, which in this case includes A, B, and C.
To list all possible events, we need to consider the subsets or combinations of these outcomes.
Here are all the possible events in the sample space:
1. Event with a single outcome:
- A
- B
- C
2. Event with two outcomes:
- AB
- AC
- BC
3. Event with three outcomes:
- ABC
Note that the empty set or having no outcomes is also an event, so we include it as well.
In summary, the possible events in the sample space with outcomes A, B, and C are:
{}, A, B, C, AB, AC, BC, and ABC.