For my assignment, we had to come up with a carnival game. My idea was to create a game with a spinner and colored ducks. 1.) You spin the spinner 2.) Look at the color it lands on (There will be 5 colors in total) 3.) If it is green, you pick out the green duck. If its red, you pick up the red duck. If it's blue, you pick out the blue duck. If it lands on yellow, pick up yellow duck. If it lands on purple, pick up purple duck. 4.) On half of the ducks, there will be a black dot on the bottom. If it has a black dot, you will win a prize. Now, all I need to do is show a mathematical calculation for expected value of winning the game. This is what I need help with. Then, I need to answer if this game is fair. If you see any flaws in my game, feel free to point it out.
For my assignment, we had to come up with a carnival game. My idea was to create a game with a spinner and colored ducks.
1.) You spin the spinner
2.) Look at the color it lands on (There will be 5 colors in total)
3.) If it is green, you pick out the green duck. If its red, you pick up the red duck. If it's blue, you pick out the blue duck. If it lands on yellow, pick up yellow duck. If it lands on purple, pick up purple duck.
4.) On half of the ducks, there will be a black dot on the bottom. If it has a black dot, you will win a prize.
Now, all I need to do is show a mathematical calculation for
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