Lottery Analysis
The probability of each category winning the special Hawaii trip can be determined by their proportion within the total customer pool of 1,300,000. Console Gamers have the highest chance, with a probability of approximately 38%, reflecting their large representation in the customer base. PC Gamers follow with a probability of about 30%. Cross-Platform Gamers have a 19% chance, and Mobile Gamers have the lowest probability at 11%. These probabilities highlight the differing sizes of each category, which directly influence the likelihood of winning the trip.
While the selection of
the winner for the special Hawaii trip is intended to be random, several
factors could inadvertently influence the outcome. Participation rates may vary
among different categories, with certain groups potentially being more likely to
enter the lottery than others. Data accuracy is another crucial factor, as
discrepancies in the data used to define the sample could skew the results. Specific
eligibility criteria might exclude some participants, affecting the overall
fairness of the drawing. Addressing these factors is essential to ensure that
the selection process remains impartial for all participants.
To ensure the lottery is fair and free from discrimination, a certified random number generator (RNG) will be used to select the winner from the entire customer pool. “RNGs generate truly random numbers, which reduces the risk of bias in the sample selection process. This ensures that the sample is representative of the population, providing accurate results that can be used to draw conclusions” (FasterCapital, 2024). This method guarantees that each participant has an equal chance of winning. Equal opportunity for all participants must be ensured by establishing clear and accessible entry rules. To guarantee the categories are split proportionately, we can take 10 percent from both female and male customers and continue this process until we reach a total of 1.3 million participants. This method ensures that each category's representation in the lottery reflects its proportion within the overall customer base, maintaining fairness and accuracy in the selection process. The data shows the lottery probabilities with 24,000 females and 26,000 males, 19,200 females and 20,800 males, 7,200 females and 7,800 males, and 12,000 females and 13,000 males across the different categories. The order in which each category is added will also be randomized each round to ensure fairness.
Random number generator: The role of technology in simple random sampling. FasterCapital. (2024). https://fastercapital.com/content/Random-number-generator--The-Role-of-Technology-in-Simple-Random-Sampling.html#:~:text=Accuracy%3A%20RNGs%20generate%20truly%20random,be%20used%20to%20draw%20conclusions.
