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 60 trials.Outcome 1H 2H 3H 4H 1T 2T 3T 4TNumber of trials 5 7 9 11 5 10 6 7Answer each part.(a) Use the data to find the experimental probability of this event: both drawing the 1, 3, or 4 card and flipping heads, in a single trial. Round your answer to the nearest thousandth.(b) Assuming the card was chosen at random and the coin is fair, find the theoretical probability of this event: both drawing the 1, 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.

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.

An experiment consists of tossing three unbiased coins simultaneously. Drawing a probability tree for this experiment will show that the number of events in this experiment is:Group of answer choicesA. 3.B. 6.C. 9.D. None of these choices are correct.

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

There is a bag with three balls numbered 1 to 3. There is also a pack of three cards lettered K, Q, and J.As a trial of an experiment, a ball was chosen and a card drawn. The number 1 to 3 of the ball and the letter K, Q, or J of the card drawn were recorded.Here is a summary of the data from 825 trials.Outcome 1K 2K 3K 1Q 2Q 3Q 1J 2J 3JNumber of trials 94 96 85 99 93 85 83 94 96Answer each part.(a) Assuming the ball was chosen and the card was drawn at random, find the theoretical probability of this event: both choosing the 2 or 3 ball and drawing a Q or J card, in a single trial. Round your answer to the nearest thousandth.(b) Use the data to find the experimental probability of this event: both choosing the 2 or 3 ball and drawing a Q or J card, in a single trial. Round your answer to the nearest thousandth.(c) Choose the statement that is true.The experimental probability will never be very close to the theoretical probability, no matter the number of trials.The smaller the number of trials, the greater the likelihood that the experimental probability will be close to the theoretical probability.The larger the number of trials, the greater the likelihood that the experimental probability will be close to the theoretical probability.

You flip a coin 100 times and it lands on heads 33 times. What is the experimental probability for flipping tails?