Question

PLEASE HELP ASAP 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. (1 point) Part B: Flip a coin 14 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. (2 points) Part C: Compare the experimental probability to the theoretical probability. (1 point)

Answer 1

Part A: The theoretical probability of a fair coin landing on heads is 1/2 or 0.5.

Part B:

To determine the experimental probability of landing on heads, we need to flip the coin 14 times and record the frequency of each outcome.

H (heads) frequency: 8
T (tails) frequency: 6

Experimental probability of landing on heads = H frequency / total number of flips = 8/14 = 4/7 or approximately 0.57

Part C:

The experimental probability of landing on heads (0.57) is close to the theoretical probability (0.5) but not exactly the same. This is because the experimental probability is based on a limited number of trials (14), while the theoretical probability is based on an infinite number of trials. As we increase the number of trials in the experiment, the experimental probability should approach the theoretical probability.