Red / Black Cards. Puzzle

[jason_t]

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I found it surprising -- in the sense that it's counter-intuitive. When I read over it, I had to stop and pause --then look at it again.

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I'm saying that the solution shows why it's not counterintuitive. 26c13 is much much bigger than 25c13. There are a lot more ways to draw all black cards than there are all red cards.