Re: Red / Black Cards. Puzzle
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I'm saying that the solution shows why it's not counterintuitive.
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intuitive
adj 1: spontaneously derived from or prompted by a natural tendency; "an intuitive revulsion" 2: obtained through intuition rather than from reasoning or observation.
coun·ter·in·tu·i·tive
adj. Contrary to what intuition or common sense would indicate: “Scientists made clear what may at first seem counterintuitive, that the capacity to be pleasant toward a fellow creature is... hard work” (Natalie Angier).
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I'm telling you that your intuition was bad. Wrong. Incorrect. Not good. Terrible. Should have been different. Removing one card makes a huge difference because of how fast the number of ways of choosing k things from n things grows as k stays fixed but n increases. If you're at all familiar with these types of problems then your intuition would have been correct. Otherwise, if you aren't familiar with these types of problems then it's not fair to say you have any intuition about them.
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