experimental and theoretical probability

Theoretical Probability is the theory behind probability. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.

For example, if a dice is rolled 6000 times and the number '5' occurs 990 times, then the experimental probability that '5' shows up on the dice is 990/6000 = 0.165.

How to find the Theoretical Probability of an event?

Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out.

Mathematically, The theoretical probability is 8.3% and the experimental probability is 4%.

Step 2: Divide the two numbers to obtain the Experimental Probability.

On the other hand, theoretical probability is determined by noting all the possible outcomes theoretically, and determining how likely the given outcome is. With theoretical probability, we don’t actually conduct an experiment (i.e. roll a die or conduct a survey). Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed. How to find the Experimental Probability of an event? Although the experimental probability is slightly lower, this is not a significant difference. In most experiments, the theoretical probability and experimental probability will not be equal; however, they should be relatively close.

Experimental (empirical) probability is the probability calculated during experiments, direct observation, experience, or practice.

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