We have 2 bags. Bag A has 3 marbles, one red, one blue, and one green. And in Bag B there's one red and one blue. To win you have to pulled two same color Marble.
So in Bag A, there's 2/3 chance to find a match and in Bag B, there's 1/2 chance to find a match. So if you multiply 2/3 and 1/2 you get 1/3 chance one winning the game. and if multiply it by 10 you get 10/30 to win.
After 30 games, our results is 9/30 for the winning side, and 21/30 on the losing side. So our theory was close to our results we have.
Even if we got one point off, we still knew what was going to happen by using the theoretical probability. If we used experimental, then it will just give us a guess not what will happen after the game.
Well since there is 9 parts and 4 Gold, which will be 4/9, maybe if we multiply by 10 like the marble game to see the full answer. Which will give us 40/90, and maybe multiply 10/30 by 3 which will give us 30/90. we can compare which one is bigger and it's 40/90 which is the spinner game.
Ohh, well then let's play!
So I made another game, and the colors are red, blue, and Gold. To win you have to spin on a Gold section. But I don't know which one has a higher chance of winning, the marble game or this one??