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An unbiased dice with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times.
Out of four face values obtained, the probability that the minimum value
is not less than 2 and maximum value is not greater than 5 is
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"dice" is plural; a "single" form is "die".
"unbiased dice" in this post means "fair die".
In the problem's formulation,
" the minimum value is not less than 2 and maximum value is not greater than 5"
means that all upper-face values are between 2 and 5, i.e. are from the interval [2,3,4,5].
For each individual rolling, the probability to have the upper-face value in this interval is = .
So, we have the binomial distribution experiment with the number of trials 4; the probability of successful trial of 2/3
and the complement probability of unsuccessful trial of 1/3.
Hence, the probability under the problem's question is
P = = = 0.197531 (rounded). ANSWER
Solved.