. Three numbers are chosen at random from the set {1, 2, . . . , 50}. Find the probability
that the chosen numbers are in geometric progression.

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  1. What GP's are possible? If the 3 numbers are chosen independently, then we have







    and so on.
    If the three numbers are chosen without replacement, like picking three cards from a deck, then the number of possible GP's is much smaller.

    Anyway, once you have the set of GP's you can figure the probability of each, then just add them up.

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  2. 0.00122

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