Suppose you are playing game of shooting balloon. You expect to shoot n balloons in the board, assuming you ar sharpshooter, 100% hit. There are two scenarios, you need find the appropriate Big-Oh notation for the following question. Note that one unit of work is shooting one balloon. 5. "For every four balloons you can shoot, three new balloons are inserted in the board. So, if there were 20 balloons, after you shoot the first four, there are 19 on the board. After you shoot the next four, there are 18 on the board. How many balloons do you shoot before the board is empty?" Note: Find your answer as a function of n. Don't just justify on the number 20 since it is just an example.

Suppose you are playing game of shooting balloon. You expect to shoot n balloons in the board, assuming you ar sharpshooter, 100% hit. There are two scenarios, you need find the appropriate Big-Oh notation for the following question. Note that one unit of work is shooting one balloon. 5. "For every four balloons you can shoot, three new balloons are inserted in the board. So, if there were 20 balloons, after you shoot the first four, there are 19 on the board. After you shoot the next four, there are 18 on the board. How many balloons do you shoot before the board is empty?" Note: Find your answer as a function of n. Don't just justify on the number 20 since it is just an example.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter17: Markov Chains

Section: Chapter Questions

Problem 12RP

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he Dice game of “Pig” can be played with the following rules. Roll two six-sided dice. Add the face values together. Choose whether to roll the dice again or pass the dice to your opponent. If you pass, then you get to bank any points earned on your turn. Those points become permanent. If you roll again, then add your result to your previous score, but you run the risk of losing all points earned since your opponent had rolled. Continue to roll as much as you want. However, once a “1” comes up on either die, your score is reduced to 0, leaving you only with points that you have previously "banked." Furthermore, you must pass the dice to your opponent. The first person to 100 points is the winner. When a player rolls two dice, the possible outcomes are as follows: Die #2 Roll Roll a 1 Roll a 2 Roll a 3 Roll a 4 Roll a 5 Roll a 6 Die #1 Roll Roll a 1 0 0 0 0 0 0 Roll a 2 0 4 5 6 7 8 Roll a 3 0 5 6 7 8 9 Roll a 4 0 6 7 8 9 10 Roll a 5 0 7 8 9 10 11 Roll a 6 0 8 9 10…
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Correct answer will upvoted else downvoted Petya found out with regards to another game "Kill the Dragon". As the name recommends, the player should battle with mythical beasts. To overcome a mythical serpent, you need to kill it and shield your palace. To do this, the player has a crew of n legends, the strength of the I-th saint is equivalent to man-made intelligence. As per the principles of the game, precisely one saint should go kill the mythical serpent, all the others will shield the palace. On the off chance that the mythical serpent's protection is equivalent to x, you need to send a saint with a strength of essentially x to kill it. Assuming the winged serpent's assault power is y, the absolute strength of the saints protecting the palace ought to be ssentially y. The player can build the strength of any legend by 1 for one gold coin. This activity should be possible quite a few times. There are m winged serpents in the game, the I-th of them has protection equivalent to…
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Problem 1. You are playing a version of the roulette game, where the pockets are from 0 to 10and even numbers are red and odd numbers are black (0 is green). You spin 3 times and add up the values you see. What is the probability th at you get a total of 17 given on the first spin you spin a 2? What about a 3? Solve by simulation and analytically.
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