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Solve Expected Maximum Dice Roll using Lua Language

Solve Expected Maximum Dice Roll using Lua to enhance your skills with lua coding practice , master coding concepts, and prepare for interviews with practical exercises and detailed solutions.

Expected Maximum Dice Roll

Difficulty : Medium

Categories :

  • Mathematics

You're given a weighted dice with n faces, where each face i has a probability weight of w[i]. Find the expected value of rolling this dice k times and taking the maximum value obtained. Return the result rounded to 6 decimal places.

Constraints:

  • 1 ≤ n ≤ 100 (number of faces)
  • 1 ≤ k ≤ 10 (number of rolls)
  • 0 ≤ w[i] ≤ 1.0 (weights)
  • Sum of weights equals 1.0
  • Face values are 1 to n

Examples:

Input:
n = 3, k = 2
weights = [0.3, 0.4, 0.3]
Output: 2.510000
Explanation: Expected max value when rolling 3-sided dice twice
Input:
n = 2, k = 1
weights = [0.5, 0.5]
Output: 1.500000
Explanation: Simple expected value for one roll

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