a six-sided number cube labeled 1 through 6 is rolled 500 times. an odd number is rolled 325 times. compare the experimental probability of rolling an odd number with the theoretical probability of rolling an odd number and select one of the statements below that best describes the situation.

the experimental probability and theoretical probability are the same.

the experimental probability is larger than the theoretical probability.

the experimental probability is smaller than the theoretical probability.

there is not enough information to determine the relative frequency.

Choice B) experimental probability is larger



There are 3 odd numbers (1,3,5) out of 6 total (1,2,3,4,5,6) on the number cube. So theoretically, the chances of rolling an odd number are 3/6 = 1/2 = 0.5

When we do the experiment, we roll an odd number 325 times out of 500 trials total. So the experimental probability is 325/500 = 0.65

Comparing the results of 0.5 and 0.65, we see that 0.65 is larger. So the experimental probability is larger.

Note: with a large number of trials, the experimental probability should get closer and closer to the theoretical probability. This is assuming that all trials are independent of one another and the number cube is properly weighted.