Tia performed an experiment where she flipped a coin 200 times. The coin landed heads up 92 times and tails up 108 times. Which statement about this experiment is true?

The ratio StartFraction 92 over 200 EndFraction represents the experimental probability of the coin landing heads up in this experiment.
The ratio StartFraction 92 over 200 EndFraction represents the number of trials in this experiment.
The ratio StartFraction 92 over 200 EndFraction represents the theoretical probability of the coin landing heads up in this experiment.
The ratio StartFraction 92 over 200 EndFraction represents the number of occurrences of the coin landing heads up in this experiment.

1 answer

The true statement about the experiment is:

The ratio \( \frac{92}{200} \) represents the number of occurrences of the coin landing heads up in this experiment.

To clarify the other options:

  • Experimental Probability: The ratio \( \frac{92}{200} \) does represent the experimental probability of landing heads up, as it is calculated by dividing the number of heads (92) by the total number of trials (200).

  • Number of Trials: The number of trials in the experiment is 200, not the ratio \( \frac{92}{200} \).

  • Theoretical Probability: The theoretical probability of landing heads up for a fair coin is \( \frac{1}{2} \) or 0.5, not based on Tia's experiment results. The ratio \( \frac{92}{200} \) is derived from the specific outcomes of the experiment.

Thus, while one of the statements is correct, it is important to note that the ratio also represents the experimental probability; however, the statement about representing the occurrences is more specifically correct.