A coin is flipped at the start of every game to determine if Team A (heads) or Team B (tails) will get the ball first.
Part A: Find the theoretical probability of a fair coin landing on heads.
Part B: Flip a coin 10 times and record the frequency of each outcome. Determine the experimental probability of landing on heads. Please include the frequency of each outcome in your answer.
Part C: Compare the experimental probability to the theoretical probability.
Part A: The theoretical probability of a fair coin landing on heads is 1/2 or 0.5.
Part B: After flipping the coin 10 times, let's say it landed on heads 6 times and tails 4 times. The frequency of heads is 6 and the frequency of tails is 4.
Part C: To calculate the experimental probability of landing on heads, we divide the frequency of heads (6) by the total number of trials (10). So, the experimental probability is 6/10 or 0.6.
Comparing the experimental probability of 0.6 to the theoretical probability of 0.5, we can see that the experimental probability is slightly higher than the theoretical probability.