$14 \cdot 25$ rolling $n$ times a regular die to get a sum of 1994 has a probability greater than 0, and is equal to the probability of getting a sum of $S$, then the minimum value of $S$ is
(A) 333.
(B) 335.
(C) 337.
(D) 339.
(E) 341.
(45th American High School Mathematics Examination, 1994)
[Solution] Since $1994=6 \times 332+2$, this means: rolling a 6, 332 times, and a 2 once, in 333 rolls is the least number of rolls, and the probability of this happening is not 0.

The probability of rolling 332 sixes and one 2 in 333 rolls is the same as rolling 332 ones and one 2, and in this case, the sum of the points is the smallest:
$$
1 \times 332+2=334 \text {. }
$$

Therefore, the minimum value of $\mathrm{S}$ is 334.
Note The original multiple-choice answer is incorrect; it should include the value 334.