Probability Issues? Help Solving Joe's Die Problem

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SUMMARY

The discussion centers on calculating the probability of Joe rolling a number 1 at most once in four throws of a die, utilizing binomial distribution principles. The scenario meets the criteria for a binomial distribution: binary outcomes (success or failure), independent trials, a fixed number of trials (n=4), and a constant probability of success (p=1/6). Participants emphasize the importance of understanding these parameters to apply the binomial formula effectively in this context.

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Having terrible time learning probabilities - so this question threw me.
Joe throws a die 4 times, what is probability of him getting a number 1 at most once? Hope you can help - learning binomial formulas, poisson & hypergeometric. Hope someone can assist.
 
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Well, this situation satisfies the four criteria for a binomial distribution:

Binary: the trial has to have a "success" (getting a 1) or "failure" (not getting a 1).
Independent: the trials have to be independent, one from another.
Number: the number of trials has to be fixed.
Success: the probability of success has to be the same from trial to trial.

So, what is the parameter $p$, and how many trials $n$ are there?
 

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