# The Third question

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• Hi, and welcome to the plan of the Math Talks, with me Linda, anyway let's get on with my question. Suppose I have 2 different games, where the person could win a prize, but I want to find the game with the less chance of winning, which game would that be?﻿
• ﻿﻿﻿This game, has only 2 ways to win, by pulling out the same 2 colored marbles, but each bag has a different amount, we then find out that the theoretical probability of winning is 2/6
• ﻿Now in this next game to win, you must spin the spinner and land on a gold part, there are a total of 9 sections, we then find out that our theoretical probability is 4/9﻿...Now this is the problem we can't see which one is bigger, so what do we do?
• well we could find the greatest common factor...That's it!!!﻿
• Yeah! that way ﻿when we have to common factor we can see which one has the high winning probability
• we could find the greatest common factor﻿
• Ok, so we know that the probablity of the marble game is 2/6 and the spinner game is 4/9...So the greatest common factor is 18! well when we do get them we have the change the numeratoras well , which will get us 6/18 and 8/18, the greater one being 8/18 which is the spinner game.
• Wellso we should go with playing the marble game more, I mean we are running low on money, somight as well...Hopefully this works!!﻿
• ﻿2/6 = 6/18
• ﻿4/9 = 8/18
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