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# Bernoulli Trials

Bernoulli trials are any sequence of independent, random experiments with exactly two possible outcomes and in which the probabilities of success or failure are respectively the same for each individual trial. The computational power of Wolfram|Alpha enables you to conduct your own Bernoulli trials and calculate the probability for a sequence of trials, any specified outcome of successes and failures, or the number of trials required to find a specific number of successes or failures.

Bernoulli Trials

Investigate the probabilities and waiting times for Bernoulli trials.

Compute probabilities for a sequence of trials:

Specify a success probability:

Compute the probability of a specific outcome:

Analyze waiting-time probabilities:

Find the probability of a run:

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Coin Tosses

Compute the results of any number of coin tosses or specify an outcome and calculate the likelihood of it occurring.

Compute coin-toss probabilities:

Compute the probability of a specific outcome:

Compute a waiting-time probability:

Compute the probability of a run:

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