A coin is tossed 20 times. It lands heads 4 times. Compare the experimental probability to its theoretical probability. If the probabilities are not close, explain a possible reason for the discrepancy.
Answer (2)
The theoretical probability is how many times it SHOULD land on heads. Since there is two sides, the theoretical l probability says it should land on heads 10 times out of 20 or 1/2. The experimental probability can vary, it is how many times it ACTUALLY lands on heads when you test it. In this case it landed on heads 4 times out of 20 or 1/5 of the time. For this problem, the experimental probability is less than the theoretical probability.
The theoretical probability of getting heads when tossing a coin is 0.5, while the experimental probability observed from 20 tosses is 0.2. The discrepancy can be attributed to the small sample size, randomness of each toss, or potential bias in the coin. As more trials are conducted, experimental probabilities typically align closer to theoretical probabilities.
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