How Likely Are Unlikely Events?

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Unlikely events occur more frequently than one might assume, as demonstrated through the probabilities of drawing specific sequences of cards from a deck. The odds of drawing multiple specific cards in succession become astronomically low, yet casinos deal thousands of cards daily, making such sequences possible. The discussion highlights that just because an event is unlikely does not mean it cannot happen; it must be more unlikely than other events to be dismissed. Predicting outcomes with absolute certainty would eliminate the concept of unlikely events altogether. The conversation ultimately reinforces that unlikely events can and do occur, challenging the perception of their impossibility.
skydivephil
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I was thinking about unlikely evenst and conclude they must happen all the time. Imagine I draw a card from a deck, the odds for a particular card to come out= 1/52. Now I replace, shuffle and draw another card, the odds of the sequence of two card are =1/52*1/52 so and we can keep multiplying this by 1/52 for each card if we repeat the process:
2 card = 1/2704
3 cards =140,068
4 cards = 7,311,616
5 cards 380,204,032
6 cards =19.77 billion to one.
7 cards = 1.028 trillion to one.

Now presumably casinos are dealing thousands of cards down every day, (Maybe millions?) and so the odds of any particular sequence of cards being dealt is utterly astronimical. So one cannot sy an event cannot happen becuase its unlikely, it has to be more unliekly than any other event. Anyone disagree with this maths?
 
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I don't disagree with the math, perhaps your argument isn't cogent though.
 
If your aim was to disprove the notion that unlikely events can't happen, you've succeeded.
 
If you could predict the future with 100% accuracy, there wouldn't be any unlikely events. There would only be certain events and impossible events.

EDIT: More precisely, certain or impossible outcomes for a given trial.
 
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