Final answer:
The probability of getting a tail on the next coin flip remains at 50 percent, regardless of the previous series of outcomes because each coin flip is an independent event.
Step-by-step explanation:
The question is concerned with the probability of getting a tail after having tossed a coin 100 times and obtaining 67 heads and 33 tails. Despite the past results of these tosses, the coin still has a 50 percent chance of landing on heads or tails on any given flip. This concept is based on the idea that each coin flip is an independent event with its own probability, unaffected by previous outcomes.
To answer the student's question directly, the probability that the next flip results in a tail is still 50 percent because past results do not change the probability of future coin flips. This is supported by the law of large numbers, which states that as the number of trials increases, the relative frequency of results will get closer to the expected probability.