When $n$ standard 6-sided dice are rolled, the probability of obtaining a sum of 1994 is greater than zero and is the same as the probability of obtaining a sum of $s$. the smallest possible value of $s$ is?

Question

Liliana

Mathematics

7 November, 00:46

When $n$ standard 6-sided dice are rolled, the probability of obtaining a sum of 1994 is greater than zero and is the same as the probability of obtaining a sum of $s$. the smallest possible value of $s$ is?

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Tripp French · Answer 1

The minimum number of dice is 333, where 229 dice must be "6", and the remaining 4 need to have a sum of 20.

The probability is the same as having 229 "1" and the remaining adding up to 8.

Therefore s = 237