I need to find the expected value of a carnival game that I made up. Here is my game:
For this game, the only supply that you will need is a spinner with two sections; one section is red and one section is blue. The red section is 75% of the entire spinner, while the blue section takes up the remaining 25% of the spinner. The object of the game is for the participant to spin the spinner two times and land on each color once; red and blue. It does not matter the order of the colors on which the participant lands. If the participant is able to land on each color once, during their two spins, they win $4.00. The cost to play “Spinner Winner” is only $3.00.
Would the expected value (or average) that the charity would win per participant be $2.25? The probability of winning is 3/16 and losing is 13/16. So, wouldn't I just take the net profit of $36 and divide that by 16 to get the $2.25. The expected value also has to show a losing value for each player....I don't even know where to start for that.
For this game, the only supply that you will need is a spinner with two sections; one section is red and one section is blue. The red section is 75% of the entire spinner, while the blue section takes up the remaining 25% of the spinner. The object of the game is for the participant to spin the spinner two times and land on each color once; red and blue. It does not matter the order of the colors on which the participant lands. If the participant is able to land on each color once, during their two spins, they win $4.00. The cost to play “Spinner Winner” is only $3.00.
Would the expected value (or average) that the charity would win per participant be $2.25? The probability of winning is 3/16 and losing is 13/16. So, wouldn't I just take the net profit of $36 and divide that by 16 to get the $2.25. The expected value also has to show a losing value for each player....I don't even know where to start for that.