Under the same conditions you can use the binomial probability distribution calculator above to compute the number of attempts you would need to see x or more outcomes of interest (successes, events). For example, you can compute the probability of observing exactly 5 heads from 10 coin tosses of a fair coin (24.61%), of rolling more than 2 sixes in a series of 20 dice rolls (67.13%) and so on. In other words, X must be a random variable generated by a process which results in Binomially-distributed, Independent and Identically Distributed outcomes (BiIID). As long as the procedure generating the event conforms to the random variable model under a Binomial distribution the calculator applies. as 0.5 or 1/2, 1/6 and so on), the number of trials and the number of events you want the probability calculated for. Simply enter the probability of observing an event (outcome of interest, success) on a single trial (e.g. You can use this tool to solve either for the exact probability of observing exactly x events in n trials, or the cumulative probability of observing X ≤ x, or the cumulative probabilities of observing X x. Using the Binomial Probability Calculator
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