Roll the dice four times in a row, the total number of points is recorded as X, and P( 10 is estimated.

This is a classic question. The probability that the sum of the four dice points is k is the coefficient of the x k term in the following polynomial.

(x^ 1+x^2+x^3+x^4+x^5+x^6)^4/6^4.

So the answer to this question is

( 104+ 125+ 140+ 146+ 140+ 125+ 104)/6^4

= 0.6820

= 68.20%.