Sarah.Mansour4 Wrote:Anyway you can explain how you made the 4 inferences about the possible orders of the GRW balls.
I am having quite a bit of difficulty decoding and understanding this logic game:(
She made an inference regarding the numerical distribution of the colors, not the order.
We know that we must have more red than white. We also know that there is a vertical GW block somewhere. Plus, we have the rule that states that the R could never be below the lowest G placed.
In terms of how this affects our distribution, consider the fact that we already know each the colors must be used due to the playout of the rules.
G (1) R (1) W (1)
We can go ahead and say that R must have at least 2, as how else would it ever be more than W?
G (1) R (2) W (1)
We have four spots accounted for, we have two left. We have two left to place. My technique is to focus on one variable and exhaust its possibilities numericallly. This will give us the full distribution for all variables. I picked G when I did this.
What if G stays at 1?
We would have 2 left to place among R and W, and we could make it either:
G (1) R (4) W (1)
G (1) R (3) W (2)
What if G has 2?
We would have this below with 1 left to place, and it must go to R since it has to stay above the amount W has.
G (2) R (3) W (1)
What if G has 3?
We would have a finished lineup.
G (3) R (2) W (1)
So we have these four numerical breakdowns:
G (1) R (4) W (1)
G (1) R (3) W (2)
G (2) R (3) W (1)
G (3) R (2) W (1)
The order of these elements is in no way determined. But if you had a question that asked what if we have 2 exactly 2 R's...you know which distribution you would have.