When a particular type of thumbtack is dropped, it will land point up ( \( \perp \) ) or point down ( \( ) \) ). This experiment was repeated 70 times with the following results: point up: 52 times; point down: 18 times. a. What is the experimental probability that a particular type of thumbtack will land point up? b. What is the experimental probability that a particular type of thumbtack will land point down? c. If the experiment was tried another 70 times would the same results occur? Why? d. Is it expected that nearly the same results occur on a second trial? Why? a. The experimental probability that a particular type of thumbtack will land point up is (Type an integer or a simplified fraction.)

The experimental probability of a thumbtack landing point up is calculated by taking the number of times it landed point up (52) divided by the total number of trials (70). So, \( P(\text{point up}) = \frac{52}{70} = \frac{26}{35} \). Voilà! For point down, we follow a similar procedure. The probability is \( P(\text{point down}) = \frac{18}{70} = \frac{9}{35} \). Easy peasy! As for those further experiments, well, while you may get similarly thrilling results, chance loves to throw curveballs! Each attempt is independent, so anything can happen—thumbtacks are unpredictable little rascals! The law of large numbers suggests that over many trials, results will stabilize, but a second round could still surprise you!