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.

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 20 times, how many times does she roll the number 3? 3 5 6 It is impossible to tell.

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 20 times, Joan finds that she’s rolled the number 3 six times. What is the empirical probability that Joan rolls a 3? 6% 20% 25% 30%

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.

six-sided die is rolled 1010 times, and the results are listed below. 33, 44, 11, 11, 22, 66, 66, 55, 66, 33 What is the experimental probability of rolling an odd number?

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.