Which of the following experiments have equally likely outcomes? Explain.
A player attempts to shoot a basketball. She/he shoots or misses the shot.

Answer

To determine whether the experiment of a player attempting to shoot a basketball results in equally likely outcomes, we need to analyze the situation step by step.

### Step-by-Step Solution:

1. **Identify the Outcomes**:
The possible outcomes when a player attempts a basketball shot are:
- The player makes the shot (success).
- The player misses the shot (failure).

2. **Define Equally Likely Outcomes**:
Outcomes are considered equally likely if the probability of each outcome occurring is the same. This means that there is no inherent advantage or disadvantage for either outcome.

3. **Consider the Player's Ability**:
The likelihood of making or missing a shot is influenced by various factors, including the player's skill level, experience, and other situational factors (like defense from opponents, fatigue, etc.).

4. **Assess the Probabilities**:
Since the outcome of making or missing the shot depends on the player's ability, we cannot assume that the probabilities of making the shot and missing the shot are equal. For example, a skilled player may have a higher probability of making the shot compared to missing it, while a less skilled player may have the opposite.

5. **Conclusion**:
Because the probabilities of making and missing the shot are not the same and depend on the player's ability, we conclude that the outcomes of this experiment are not equally likely.

### Final Answer:
The experiment of a player attempting to shoot a basketball does not have equally likely outcomes because the probability of making or missing the shot varies based on the player's skill level.

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