Jobs
Interviews

Solve Expected Maximum Dice Roll using Python Language

Solve Expected Maximum Dice Roll using Python to enhance your skills with python 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

Problem Solving

Input

What You'll Find Here

Interactive Exercises Practice coding with problems designed for beginners and experts.

Step-by-Step Solutions Understand every step of the solution process.

Real-World Scenarios Apply your skills to real-world problems and boost your confidence.

Choose from the following categories

Strings A sequence of characters used to represent text, with problems focused on manipulation, searching, and pattern matching.

Arrays A collection of elements stored in contiguous memory locations, allowing efficient random access and manipulation.

Linked Lists A linear data structure where each element (node) points to the next, offering dynamic memory allocation and efficient insertions/deletions.

Trees A hierarchical data structure with nodes connected by edges, used in applications like databases, file systems, and parsing.

Graphs A collection of nodes (vertices) connected by edges, representing relationships, widely used in networking, routing, and social networks.

Dynamic Programming An optimization technique that solves problems by breaking them into overlapping subproblems and storing their results.

Backtracking A problem-solving method that explores all possibilities recursively, backtracking when a solution is not feasible.

Sorting Algorithms Techniques for arranging elements in a specific order, such as quicksort, mergesort, and bubble sort, essential for data organization.

Searching Algorithms Methods for finding elements in a dataset, such as binary search, linear search, and graph traversal techniques.

Mathematics A field of study involving numbers, calculations, and logical reasoning, forming the foundation for algorithms and problem-solving.

Recursion A programming technique where a function calls itself to solve smaller instances of the same problem, often used in divide-and-conquer approaches.

Bit Manipulation Operations performed directly on binary representations of data, used for efficient computations and optimization tasks.