Design a game of chance that apply permutations, combinations, and probability. Your task is to create an original, interesting, easy-to-play and profitable game involving dice, spinners, cards, or...

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Design a game of chance that apply permutations, combinations, and probability. Your task is to create an original, interesting, easy-to-play and profitable game involving dice, spinners, cards, or any other reasonable item that introduces an element of chance. There must be at least 2 stages to your game. In order for you to collect experimental data, you will “play” your game 50 times and summarize the data in a table. Once the data has been collected, you will prepare a report detailing the analysis of your game, including: • A data table showing all the outcomes of each stage of your game for each participant, as well as the total money won and lost by the house • The house's probability of winning, showing all calculations • Theoretical probability distribution table • Experimental probability distribution table • The house's expected return per play, considering all wagers allowed in the game • A comparison of the theoretical probability and the actual (experimental) probability and returns on the game • Reflection: What might you change or do differently next time?
Answered 1 days AfterFeb 04, 2021

Answer To: Design a game of chance that apply permutations, combinations, and probability. Your task is to...

Suraj answered on Feb 06 2021
155 Votes
Assignment
Topic: Game based on Probability
Submitted to:
Submitted by:
Date: 06/02/2021
Game based on Probability
Here, our aim is to make an unbiased game first of all we need one unbiased dice and unbiased coin. Because this unbiasedness will help us to make a fair game.
This game is played in two stages. In the first stage a player set some money to make a bet and then throw a coin. If the coin results head then the player win the first stage and move forward to second stage.
In the second stage, a player will again place a bet and throw a dice. If the dice results number greater then 3, then player win the second stage and win the price money.
Analysis of the Game:
Now, its time to calculate the expected win and loss for a player. For that we have to play this game 50 times and collect the data for each stage.
For the first stage, when a coin is tossed. The distribution table is given as follows:
Since, we got head 32 times means...
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