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.
The best statement to describe the situation is: The experimental probability is larger than the theoretical probability.
The theoretical probability of rolling an odd number on a six-sided number cube is 3/6 or 1/2, since there are 3 odd numbers out of 6 total numbers.
The experimental probability is calculated by taking the number of times an odd number was rolled (325) and dividing by the total number of rolls (500), which equals 325/500 or 0.65.
Since the experimental probability (0.65) is larger than the theoretical probability (0.5), we can conclude that the experimental probability is larger than the theoretical probability in this situation.