## Find the probability that event A will appear at least three times in four independent tests if the probability of occurrence of event A in

Question

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## Answers ( No )

This kind of problems are solved using Bernoulli’s distribution. Everytime you have a win/lose scenario, and you know the probability of winning, and you want successes over trials, you have the following probability:

You want the probability of having at least three successes, i.e. you are interested in the cases k=3 and k=4. The corresponding probabilities are

So, the total probability is