There is a pack of four cards numbered 1 to 4. There is also a coin with one side marked as heads and the other tails. As a trial of an experiment, a card was drawn and the coin was flipped. The number (1 to 4) of the card and the side (H for heads and 7 for tails) of the coin from the flip were recorded. Here is a summary of the data from 550 trials. Outcome 1H 2H 3H 4H IT 21 AT Number of trials 69 66 65 73 73 64 66 74 Answer each part. (a) Assuming the card was chosen at random and the coin is fair, find the theoretical X 5 ? probability of this event: both drawing the 2, 3, or 4 card and flipping heads, in a single trial. Round your answer to the nearest thousandth. (b) Use the data to find the experimental probability of this event: both drawing the 2, 3, or 4 card and flipping heads, in a single trial. Round your answer to the nearest thousandth. (c) Choose the statement that is true. With a large number of trials, there must be no difference between the experimental and theoretical probabilities. With a large number of trials, there might be a difference between the experimental and theoretical probabilities, but the difference should be small. O With a large number of trials, there must be a large difference between the experimental and theoretical probabilities