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As entertainment critic Roger
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If I'm misunderstanding how to apply conditional probability, that is fine, but everyone having a 1-8 chance of drawing the purple rock can only be true if everyone reaches in at the exact same time & draws at the exact same time. And that is basically only theoretical, as it cannot be accomplished & doesn't take into account other factors that are out of this scenario.
Not knowing the color of the rock until everyone draws -- I can't see how that matters -- the first person does draw some color & it effects the next person's chances regardless of whether the color is revealed or not.
Additionally, I do not see how you can disregard the order that each of the 8 *might* draw. That is a factor until it is known.
The number 5040 has nothing to do with the number of rocks -- it is the possible combinations of the order the 8 people draw & the possible ways the rocks are drawn.
eta: to take out something that might have been read as argumentative.
p l a c e h o l d e r t e x t g o e s h e r e - p l a c e h o l d e r t e x t g o e s h e r e - p l a c e h o l d e r t e x t g o e s h e r e -
p l a c e h o l d e r t e x t g o e s h e r e - p l a c e h o l d e r t e x t g o e s h e r e - p l a c e h o l d e r t e x t g o e s h e r e -
p l a c e h o l d e r t e x t g o e s h e r e - p l a c e h o l d e r t e x t g o e s h e r e - p l a c e h o l d e r t e x t g o e s h e r e -
p l a c e h o l d e r t e x t g o e s h e r e - p l a c e h o l d e r t e x t g o e s h e r e - p l a c e h o l d e r t e x t g o e s h e r e -
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