All I would like to know is what does the k in x/k mean in this question? How would I go about determining the probability for x at a given number when the dice is unfair by an unknown value? Thank you in advance for any help.

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All I would like to know is what does the k in x/k mean in this question? How would I go about determining the probability for x at a given number when the dice is unfair by an unknown value? Thank you in advance for any help.

When a die is unfair by a unknown amount, many tosses are required. One method I've

used is chi square. If the "unfairness" is large enough, two effects in the chi square

analysis make it certain the die is unfair.

Let me give you a numerical example that's easy to detect. Here, five faces are

slightly lower in probability that 1/6 and one face is slightly higher:

.98/6 + .98/6 + .98/6 +.98/6 + .98/6 + 1.1/6 = 1

The sum of the dice "face up" probabilities equal one.

I won't go into the details of the chi square analysis.

Hope this helps.

Art

used is chi square. If the "unfairness" is large enough, two effects in the chi square

analysis make it certain the die is unfair.

Let me give you a numerical example that's easy to detect. Here, five faces are

slightly lower in probability that 1/6 and one face is slightly higher:

.98/6 + .98/6 + .98/6 +.98/6 + .98/6 + 1.1/6 = 1

The sum of the dice "face up" probabilities equal one.

I won't go into the details of the chi square analysis.

Hope this helps.

Art

Last edited:

So am I simply just making up my own unfair probability and filling in my chart? I think I'm really over thinking this question...