Skeleto’Spinner!
________________________________________Introduction of The Games Fair The games fair was hosted by grade 12 data management students in maple high school during the days of Thursday, Oct 26 and Friday, Oct 27. A combined two-day event in which MDM4U1 students were given the opportunity to create and play amusing games that involve the element of chance, and are not dependant on skill. The main focus of this assignment was to create a mathematically unfair game that further clarifies the difference between theoretical and experimental probability.
Skeleto’Spinner
Description:
The Skeleto’Spinner represents equal probability to a great extent. At the cost of two “data dollars,” the chances to win a prize of 13, 6, or 1 “data …show more content…
After the entry fee is paid, all the player has to do is the following:
Step 1: Choose a card from the deck of 12
● If a Joker is drawn you earn $1 and do not proceed to spinner
● If anything but Joker is chosen then proceed to spinner
Step 2: Spin the Skeleto’Spinner
● If the spinner lands on the same suit then they win the grand prize of $13
● If the spinner lands on a suit that is the same color than they win the $6 prize
● If spinner lands on different suit with different color then they lose

Theoretical …show more content…
The theoretical probability for all the possible outcomes, excluding the joker, would be 2/48. This is because the probability of getting any suit out of the deck is 2/12, and landing on any suit with the spinner is an equal chance of ¼. Therefore, multiplying the two would generate the probability for each outcome as 2/48. The theoretical probability for the Joker is independent, hence leaving it at 4/12 throughout the entire game. The theoretical probability distributions table portrays all the outcomes in simplified forms, thus showing the probabilities for different winning situations, alongside the losing.

Expected Value
The theoretical probability distribution table further shows the expected value. The formula for expected value is: E(x) = (x) P(x), or can be explained as multiplying the amount won in the outcome (x) by the probability of that particular outcome [P(x)]. In this case the theoretical expected value is $1.875, which influences the price of the game to be $2 “data dollars” to ensure a profit. As a result, a profit margin of 6.25% is maintained as $0.125 is made per trail
Experimental Probability Experimental probability is actually calculated probability based on experiments conducted. After conducting an overall of 86 trials, each outcome is recorded in tally format as shown on the experimental probability distribution