# Rolling together percentages probabilities

• Vincent Vega
In summary, the conversation discusses the rules of a slot machine game where the player has to get four balls, three blue and one red, to appear in specific slots in order to win. The chances of the red ball activating is fixed at 10% while the chances of the blue ball activating is only 2%. The person is asking for help to calculate the percentage of winning the game if the events occur in the exact series of 10%, 2%, 10%, and 10%. There is a misunderstanding with the math used as the percentage for 2% should be written as 0.02 instead of 0.2.

#### Vincent Vega

Hi,

Wondering if you gals/guys could help me here.

For simplicity sake, say you have slot machine. To win the game all four balls must appear in four slots. Three of the balls are blue and one red. The 2nd slot is reserved for the blue ball. As for the red balls, they can only appear in the remaining slots, 1st, 3rd and 4th.

There's a fixed 10% chance that red will activate, there's only a 2% chance blue will activate. The event must be in that exact series for you to win.

I'm totally lost, and this is over my head assuming that "binomial distribution" is needed. How do I calculate these percentages together to find what the percentage of me winning that game would be.

a 10% followed by a 2% followed by a 10% followed by a 10%

$$0.10*0.02*0.10*0.10$$

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Vincent Vega said:
a 10% followed by a 2% followed by a 10% followed by a 10%

$$0.10*0.2*0.10*0.10$$

Not sure if your logic is right, but your math is wrong. 2% would be 0.02, not 0.2.

DaveC426913 said:
Not sure if your logic is right, but your math is wrong. 2% would be 0.02, not 0.2.

I tried typing that w/ the tex tags and it auto-filled that value?

DaveC426913 said:
Not sure if your logic is right, but your math is wrong. 2% would be 0.02, not 0.2.
edit never mind it edited it now. :)
how do you force it?
Code:
0.10*0.02*0.10*0.10

whoops, sorry for the double post