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Q: What happens to the probability as the number of trials increases?

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experimental probability

Yes it is. For a binomial, there must be a fixed number of trials, the probability must remain constant for trials, trials must be independent, and each outcome must be classified into 2 categories.

Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?

More information is needed to determine the answer to the question. We need to know the probability of success or failure.

The binomial distribution is one in which you have repeated trials of an experiment in which the outcomes of the experiment are independent, the probability of the outcome is constant.If there are n trials and the probability of "success" in each trail is p, then the probability of exactly r successes is (nCr)*p^r*(1-p)^(n-r) :where nCr = n!/[r!*(n-r)!]and n! = n*(n-1)*...*3*2*1

Related questions

The probability from experimental outcomes will approach theoretical probability as the number of trials increases. See related question about 43 out of 53 for a theoretical probability of 0.50

When you increase the number of trials of an aleatory experiment, the experimental probability that is based on the number of trials will approach the theoretical probability.

Provided that the correct model is used, the theoretical probability is correct. The experimental probability tends towards the theoretical value as the number of trials increases.Provided that the correct model is used, the theoretical probability is correct. The experimental probability tends towards the theoretical value as the number of trials increases.Provided that the correct model is used, the theoretical probability is correct. The experimental probability tends towards the theoretical value as the number of trials increases.Provided that the correct model is used, the theoretical probability is correct. The experimental probability tends towards the theoretical value as the number of trials increases.

Repetition.

If the outcomes of the trials are equally likely, then (and only then) is it the number of favourable outcomes and the total number of trials.

experimental probability

the ratio of the number favorable outcomes to the total number of trials.

Another name for experimental probability is empirical probability. This is the ratio of the number of outcomes in which a specified event occurs to the total number of trials.

It is a compound probability.

A number of independent trials such that there are only two outcomes and the probability of "success" remains constant.

Experimental Probability

You carry out an experiment repeatedly. Then the number of times that the selected even occurs divided by the total number of trials is the relative probability for that event.

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