As we increase the number of trials the difference between theoretical and experimental probability- *
Answers
Answer:
As we increase the number of trials the difference between theoretical and experimental probability "decreases".
Explanation:
Theoretical probability of an event is defined as the ratio of favorable outcomes to the total number of outcomes. For example, the probability of getting a six when a die is rolled can be calculated as follows:
Total number of outcomes = 6 (We can get either one of the digits from 1 to 6 on the face that appears on the top.)
Number of favorable outcomes for the event = 1 (The outcome is getting a six when the dial is rolled. Since only one face out of the six faces of a die appears on the top, the number of favorable outcomes for this event is 1 )
Hence, the theoretical probability shall be .
The experimental probability is defined as the ratio of the number of times the specified event occurred when an experiment is performed to the total number of times the experiment performed. For example, if six appears two times when a die is rolled ten times, the experimental probability of getting a six in this case is . Clearly, if we roll the dice one thousand times, the chances of getting the six will be more.
As we increase number of trials, the difference between theoretical and experimental probability reduces. As the number of trials are increased than experimental probability move towards theoretical probability. If a coin is flip 10 times and we get head 6 times than experimental probability is 0.6. As the trials are increased, experimental probability moves close to 0.5 that is theoretical probability.