Given,
The probability of getting red, P(R) = 1/8
Red occurs by the spinner= 6 times
Let, the total number of trials = N
Therefore, for the experimental probability the total number of trials performed can be calculated by the following equation:
P(R) = (Red occurs by the spinner)/(Total number of trials)
Or, 1/8 = 6/N
Or, N = 6 × 8
Or, N = 48
Final Answer: A spinner landed on red 6 times. If the resulting experimental probability of the spinner landing on red is StartFraction 1 over 8 EndFraction, then 48 trials were performed.
Experimental Probability
Experimental
Experimental probability
It is empirical (or experimental) probability.
To find the experimental probability of an event you carry out an experiment or trial a very large number of times. The experimental probability is the proportion of these in which the event occurs.
The experimental probability of anything cannot be answered without doing it, because that is what experimental probability is - the probability that results from conducting an experiment, a posteri. This is different than theoretical probability, which can be computed a priori. For instance, the theoretical probability of rolling a 3 is 1 in 6, or about 0.1667, but the experimental probability changes every time you run the experiment
Theoretical probability is what should occur (what you think is going to occur) and experimental probability is what really occurs when you conduct an experiment.
Empirical and experimental probability are the same thing. They are the outcome of an experiment.
As the number of times that the experiment is conducted increases, the experimental probability will near the theoretical probability - unless there is a problem with the theoretical model.
The experimental probability of anything cannot be answered without doing it, because that is what experimental probability is - the probability that results from conducting an experiment, a posteri. This is different than theoretical probability, which can be computed a priori. For instance, the theoretical probability of rolling an even number is 3 in 6, or 1 in 2, or 0.5, but the experimental probability changes every time you run the experiment.
The experimental probability, by definition, can only be determined after you have carried out the experiment!
Probability determined as part of an experiment is called experimental probability. Probability determined by analysis of all of the possible and expected outcomes is called theoretical probability.