Lin has conducted an experiment by flipping the half-dollar coin 10 times. The outcome of her experiment shows that the coin landed heads up 3 times and tails up 7 times. This is what we call experimental probability - it's based on actual outcomes from an experiment.
However, Lin hasn't conclusively proven anything about the theoretical probability of the coin landing heads up based on this single experiment. The theoretical probability is the likelihood of an event happening based on mathematical principles and assumptions. In this case, if the coin truly has an equal chance of landing heads or tails, the theoretical probability of getting heads on any single flip of the coin would be 0.5 or 50%.
Lin's experimental results, while interesting, aren't sufficient to draw conclusions about the theoretical probability of the coin landing heads up. To make a more reliable determination about the theoretical probability, Lin would need to conduct multiple trials, preferably a large number, to see if the experimental probability converges toward the theoretical probability. Only then could she reasonably conclude whether the coin's true probability of landing heads up is indeed 0.5 or if it differs from that value.
put all together rephrase like a 8th grader and shorten