Did you know?
Did you know that theoretical probability is the likelihood of an event happening based on mathematical calculations, while experimental probability is the likelihood of an event happening based on the actual results of an experiment? In a study where a number cube was rolled 450 times, it was found that the number 3 came up 67 times.
A. The theoretical probability of rolling a 3 can be calculated by dividing the number of favorable outcomes (in this case, the number 3) by the total number of possible outcomes (6, since a number cube has 6 sides). Therefore, the theoretical probability of rolling a 3 is 1/6, which means that, on average, you would expect to roll a 3 once every 6 rolls.
B. The experimental probability of rolling a 3 is calculated by dividing the number of times the event occurred (67) by the total number of trials (450). Therefore, the experimental probability of rolling a 3 is 67/450. This means that, based on the results of this particular experiment, the likelihood of rolling a 3 was approximately 0.15 or 15%.
