MHB Probability Issues? Help Solving Joe's Die Problem

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Joe's problem involves calculating the probability of rolling a 1 at most once in four throws of a die, which fits the criteria for a binomial distribution. The key parameters include the probability of success (p) for rolling a 1, which is 1/6, and the number of trials (n), which is 4. To find the probability of getting a 1 at most once, the binomial probability formula can be applied. The discussion emphasizes understanding binomial distributions, including the importance of independent trials and fixed outcomes. This problem serves as a practical application of probability concepts in learning.
dann
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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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