A die was thrown 10,000 times. The number "4" showed up 200 times. Which of the following could be TRUE?I. Experimental probability of obtaining the number "4" from a throw = 0.02.II. Theoretical probability of otaining the number "4" = 1/6.III. The die is not a fair die.

A die is tossed twice. The probability of having a number greater than 4 on each toss is

Suppose Joan has a fair four-sided die with sides that are numbered 1, 2, 3, and 4.Image attribution: CC BY NC 3.0 by CK-12After she rolls it 2,000 times, she finds that she rolled the number 2 a total of 187 times. Which of the following is true? Joan has provided evidence that calls into question whether or not this is a fair die because the relative frequency of rolling a 2 is quite different than the theoretical probability even after repeating the experiment many times. Joan has demonstrated that this is a fair die, since the relative frequency of rolling a 2 is nearly equal to the theoretical probability. We cannot draw any conclusions from Joan’s experience with this die without also knowing how many times the other numbers appeared. We cannot draw any conclusions from Joan’s experience with this die because there is only a very weak link between the relative frequency of an event and the theoretical probability.

A fair dice is rolled 100 times, and a one is rolled every time. There is a 1/6 chance of rolling any number. What is the most likely outcome of the 101st dice roll? 1 2 3 4 5 6 All are equally likely

Susan rolled a number cube 20 times and got the following results.Outcome Rolled 1 2 3 4 5 6Number of Rolls 4 3 3 3 2 5Fill in the table below. Round your answers to the nearest thousandth.(a) From Susan's results, compute the experimental probability of rolling a 5 or 6.(b) Assuming that the cube is fair, compute the theoretical probability of rolling a 5 or 6.(c) Assuming that the cube is fair, choose the statement below that is true:With a large number of rolls, there must be no difference between the experimental and theoretical probabilities.With a large number of rolls, there might be a difference between the experimental and theoretical probabilities, but the difference should be small.With a large number of rolls, there must be a large difference between the experimental and theoretical probabilities.

Amanda rolled a number cube 40 times and got the following results.Outcome Rolled 1 2 3 4 5 6Number of Rolls 6 6 7 7 5 9Fill in the table below. Round your answers to the nearest thousandth.(a) From Amanda's results, compute the experimental probability of rolling a 4.(b) Assuming that the cube is fair, compute the theoretical probability of rolling a 4.(c) Assuming that the cube is fair, choose the statement below that is true:With a large number of rolls, there might be a difference between the experimental and theoretical probabilities, but the difference should be small.With a large number of rolls, there must be no difference between the experimental and theoretical probabilities.With a large number of rolls, there must be a large difference between the experimental and theoretical probabilities.