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  • Mathematical Conundrum or Not? Number Six

    Anyone want to see me make a random selection from a continuous normal distribution under the same conditions?

    Cash limit is 15 bucks only one dollar bills.

    x <- rnorm(1, mean = 2.5, sd = 1)
    x <- abs(as.numeric(format(round(x, 0))))
    x
    
    #Pulls a number at random then rounds it. 
    #If I get 0 or greater than 5 then I just re-roll.
    #I could code the re-roll in but I am being lazy. 
    
    
    [1] 2
    

    2 bucks.

    So I put 2 in A and 4 in B. Once again they are the same event pulled from the same sample space at the same time.

    I don't know why people keep making all these assumptions about the unknown domain, distribution, and selection methods when there are an uncountable number of ways to accomplish this task.
  • Mathematical Conundrum or Not? Number Six

    Let's do this, an example with limits and a defined scale

    Say I have a 15 bucks, that is my cash limit and it is all in one dollar bills.

    There now we know what the game master has.

    I decide to use my computer to randomly select a value,

    sample(1:5, 1)
    
    #Pulls one random sample from 1 to 5
    
    [1] 3
    
    

    It selects 3.

    I stuff 3 bucks in one envelop and 6 bucks in the other other. Both envelopes are filled from the same chance mechanism and sample sample space; it is one event.

    I don't think I need to to follow through on the rest. No one ever said the domain of has to be the same as my cash limit. That was an assumption people made.

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