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Question
Coin Flip 75 Trials
Face Tally
Heads 28
Tails 47

Jack flipped a coin 75 times and recorded the results in the table shown. What could Jack expect to happen to the probability of getting a tail if he increased the number of trials to 300?
Responses
A Jack should expect to see the probability of getting a tails remain the same. If you increase the number of trails you can expect to see similar results as to what you got the first time, therefore the probability will not change.Jack should expect to see the probability of getting a tails remain the same. If you increase the number of trails you can expect to see similar results as to what you got the first time, therefore the probability will not change.
B Jack has no idea what to expect. Until you actually perform the simulation you cannot predict the outcome of the results.Jack has no idea what to expect. Until you actually perform the simulation you cannot predict the outcome of the results.
C Jack should expect to see a increase in the probability of getting a tails. As you increase the number of trials you increase the number of times a tail occurred, which raises the probability.Jack should expect to see a increase in the probability of getting a tails. As you increase the number of trials you increase the number of times a tail occurred, which raises the probability.
D Jack should see the experimental probability of getting tails decrease and come closer to 0.500 due to the Law of Large Numbers.Jack should see the experimental probability of getting tails decrease and come closer to 0.500 due to the Law of Large Numbers.

C - Jack should expect to see a increase in the probability of getting a tails. As you increase the number of trials you increase the number of times a tail occurred, which raises the probability. This is because the Law of Large Numbers states that as the number of trials increases, the experimental probability of an event will approach the theoretical probability. In this case, the theoretical probability of getting tails is 0.5, so as Jack conducts more trials, the experimental probability of getting tails should approach 0.5.