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 T 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 1T 2T 3T 4TNumber of trials 73 73 66 65 69 74 66 64Answer each part.(a) Assuming the card was chosen at random and the coin is fair, find the theoretical 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.With a large number of trials, there must be a large difference between the experimental and theoretical probabilities.

How many different possible outcomes are there if you flip four coins?

There is a number cube with faces numbered 1 to 6. There is also a coin with one side marked as heads and the other tails.As a trial of an experiment, the number cube was rolled and the coin flipped. The number 1 to 6 from the roll and the side H for heads and T for tails of the coin from the flip were recorded.Here is a summary of the data from 110 trials.Outcome 1H 2H 3H 4H 5H 6H 1T 2T 3T 4T 5T 6TNumber of trials 7 9 12 10 5 6 12 9 13 8 10 9Answer each part.(a) Use the data to find the experimental probability of this event: both rolling a 1 or a 6 and flipping tails, in a single trial. Round your answer to the nearest thousandth.(b) Assuming the cube and the coin are fair, find the theoretical probability of this event: both rolling a 1 or a 6 and flipping tails, in a single trial. Round your answer to the nearest thousandth.(c) Choose the statement that is true.As the number of trials increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.The experimental and theoretical probabilities must always be equal.As the number of trials increases, we expect the experimental and theoretical probabilities to become farther apart.

Four unbiased coins are tossed simultaneously. The expected number of heads is :X: 0 1 2 3 4P(x) 1/16 4/16 6/16 4/16 1/16(a) 1(b) 2(c) 3(d) 4

If you flip 4 coins, what is the probability you will get all heads OR all tails, P( all H or  all T)?

Make an organized list to show all possible outcomes when four fair coins are flipped. Each coin lands facing either heads up (H) or tails up (T). What is the probability that at least three coins land facing tails up?