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Found 5 results


  1. Monty Hall Puzzle

    Hi All, I found this interesting puzzle called the Monty Hall Puzzle. You are the contestant on a Game Show. There are 3 doors – say A,B and C – and behind one door is the prize of a million dollars. The prize is randomly placed and the probability of finding the prize behind any door is 1/3. You get to pick one door and if you’ve picked the right door, you win the prize. There’s a catch. After you’ve chosen a door, the game show host will not immediately open that particular door. The host will open another door that you did not pick and which he knows does not contain the prize. Suppose you had picked door A, and the prize is behind door B, the host will open door C and let you know that there is nothing being door C. At this point, you will be given a choice: Do you want to stick with your original choice (door A in the example above) or do you want to choose the other unopened door (door B in this example)? Would you switch your choice? Do you think that switching doors would have any impact on the probability of finding the prize? I thought that it would not make any difference (probability would remain at 50-50 for the two open doors) Surprisingly, it turns out that you SHOULD switch. You can read the proof of this here: https://codeground.in/blog/index.php/2016/11/13/technical-interview-question-on-puzzles-the-monty-hall-puzzle/ Explaining the Monty Hall Puzzle Let’s the divide the doors into two sets Set 1: {The door you picked originally} The Probability that the prize is in Set 1 is 1/3 Set 2: {The other two doors} The Probability that the prize is in Set 2 is 2/3 The Host will open a door from Set 2 that does NOT have the prize, but the probability that the prize is in Set 2 still remains at 2/3. Switching your choice to choose the remaining unopened door from Set 2 maximizes your odds of winning. Was this useful? If you’re interested, you can read more about more such puzzles for Tech Interviews (https://codeground.in/blog/index.php/category/interview-preparation/tech-interview-questions-puzzles/) or you can take do some online programming challenges (https://codeground.in/screening-tests/coding-contests.html)
  2. Balance Puzzle

    Hi All, I found this interesting puzzle - Three missionaries and three cannibals must cross a river. There is a single boat which can carry a maximum of two people and there must be at least one person on board (the boat cannot cross by itself). On either bank, if there are missionaries present, the count of missionaries must be equal or greater than the count of cannibals, else the cannibals would eat them. This is a classic example of a puzzle that can be solved using state transition diagrams. The solution to this puzzle is detailed in this blog post: https://codeground.in/blog/index.php/2016/11/13/technical-interview-question-on-puzzles-missionaries-and-cannibals/ Was this useful? If you’re interested, you can read more about more such puzzles for Tech Interviews ( https://codeground.in/blog/index.php/category/interview-preparation/tech-interview-questions-puzzles/ )or you can take do some online programming challenges ( https://codeground.in/screening-tests/coding-contests.html )
  3. MECE Framework

    What is the MECE Framework? MECE stands for “Mutually Exclusive – Collectively Exhaustive” It is a structured problem-solving approach that forces you to list down all possible options without double counting. The Problem Statement is written down first. You must choose your words carefully while writing this down to ensure that there is no ambiguity in understanding the problem. The Options to solve the problem are then listed down in a tree-like fashion. The options must not overlap (Mutually exclusive) and no option must be missed out (Collectively exhaustive) Once the tree is built, the pros and cons of each path in the tree is discussed until the optimal solution path is decided. The MECE Framework can be used in case interview questions or in situational interview questions as discussed here: https://codeground.in/blog/index.php/2016/11/13/mece-framework-for-structured-thinking/ Was this useful? If you’re interested, you can read more about more such tips for Interview preparation ( https://codeground.in/blog/index.php/category/interview-preparation/ )or you can take do some online programming challenges ( https://codeground.in/screening-tests/coding-contests.html )
  4. Count Inversions

    What is an inversion? Let A be an array of n distinct numbers. If i < j and A > A[j], then the pair (i, j) is called an inversion of A. For example, the array {2,3,8,6,1} has 5 inversions: (2,1) (3,1) (8,6) (8,1) and (6,1) Trivial Solution to count the number of inversions in an array countInversions = 0; for i = 1 to N for j = i+1 to N if(A > A[j]) countInversions++; The overall time complexity for this approach is O(n^2) Using Merge Sort to count the number of inversions in O(n logn) time The approach using Merge Sort to count the number of inversions is detailed in this blog post ( https://codeground.in/blog/index.php/2016/11/13/technical-interview-question-on-data-structure-and-algorithms-count-the-number-of-inversions-in-an-array/ ). Was this useful? If you’re interested, you can read more about more such puzzles for Tech Interviews ( https://codeground.in/blog/index.php/category/interview-preparation/data-structures-algorithms-tech-interview-questions/ )or you can take do some online programming challenges ( https://codeground.in/screening-tests/coding-contests.html )
  5. Cannibals and missionaries puzzle

    Hi All, I found this interesting puzzle - Three missionaries and three cannibals must cross a river. There is a single boat which can carry a maximum of two people and there must be at least one person on board (the boat cannot cross by itself). On either bank, if there are missionaries present, the count of missionaries must be equal or greater than the count of cannibals, else the cannibals would eat them. This is a classic example of a puzzle that can be solved using state transition diagrams. The solution to this puzzle is detailed in this blog post: https://codeground.in/blog/index.php/2016/11/13/technical-interview-question-on-puzzles-missionaries-and-cannibals/ Was this useful? If you’re interested, you can read more about more such puzzles for Tech Interviews ( https://codeground.in/blog/index.php/category/interview-preparation/tech-interview-questions-puzzles/ )or you can take do some online programming challenges ( https://codeground.in/screening-tests/coding-contests.html )