Code RoomDice sum probability
MediumPrep Room Coding #1057

Dice sum probability

CodingAlgorithms & data structuresMid–Senior~25 min

You roll `dice` fair dice, each with faces numbered 1..`faces`. Return the probability that the sum of the faces equals exactly `target`, rounded to 6 decimal places. If the target is unreachable the probability is 0.0.

Implement
dice_sum_probability(dice: int, faces: int, target: int) → float
Examples
in[2,6,7]out0.166667
What a strong answer looks like

State your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.

0:00 of about 25 min
InputExpectedGot
[2,6,7]0.166667not run yetsample