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The question is a little ambiguous.

The simpler version is: if you picked up a shuffled deck of cards and drew two cards from it, what is the possibility that they would both be fives?

The probability of drawing the first five is 4 out of 52, or 1/13.

The probability of drawing the second five is then 3 out of 51, or 1/17.

Combining these, you get that this should happen on average once in 13x17 = 221 tries.

The more complicated version is: what is the probability that if you KEEP drawing cards from the deck that you will EVENTUALLY pull out two fives in a row? This is somewhat more likely, but the math does get complicated.

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14y ago

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