Ellen's Weighted Coin Experiment

Explanation of the True Statements

Ellen claims that she has a coin that is weighted so that the probability of heads is 70%. However, after flipping the coin 100 times and calculating the relative frequency of each outcome, the data shows that the relative frequency of heads is 0.69, which is very close to 70% but not exactly 70%. This indicates that the coin may not be perfectly weighted as claimed by Ellen.

Additionally, the data also reveals that the relative frequency of tails is 0.31, which further supports the possibility that the coin is not fair. If the coin were truly weighted so that the probability of heads is 70%, then the theoretical probability of tails should be 30%. However, the theoretical probability of tails is not mentioned in the data, so it is not accurate to say that it is most likely 30%. Based on the numbers provided, it is more likely that the coin is not fair and does not follow the claimed theoretical probability of 70% for heads.