Given that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring, choose all that are correct.

Responses
A 0 indicates a certain event0 indicates a certain event
B 1 indicates an impossible event1 indicates an impossible event
C 0.5 indicates equally likely to occur or not occur0.5 indicates equally likely to occur or not occur
D 0.25 indicates an unlikely event0.25 indicates an unlikely event
E 0.75 indicates an unlikely event

A, B, C, and D are correct. E is incorrect, as 0.75 indicates a relatively likely event, not an unlikely one.

The correct responses are:

B) 1 indicates an impossible event

C) 0.5 indicates equally likely to occur or not occur

D) 0.25 indicates an unlikely event

The correct choices are:

C. 0.5 indicates equally likely to occur or not occur.
D. 0.25 indicates an unlikely event.

Explanation:
A probability of 0 indicates that an event is impossible and will not occur. So, statement B is incorrect.

A probability of 1 indicates that an event is certain to occur. Therefore, statement A is incorrect.

A probability of 0.5 reflects that an event is equally likely to occur or not occur, indicating a 50% chance of it happening. Thus, statement C is correct.

A probability of 0.25 indicates that an event is unlikely to occur, meaning there is a small chance (25%) of it happening. So, statement D is correct.

Lastly, a probability of 0.75 suggests that an event is likely to occur, having a high chance (75%) of happening. Therefore, statement E is incorrect.