Two pair or three of a kind when drawing five cards


Question: Two pair or three of a kind? When drawing five cards randomly from a deck, which is more likely, two pairs or three of a kind? A pair is exactly two of the same denomination. Three of a kind is exactly 3 of the same denomination. (Don't count three 8's as a pair-that's 3 of a kind. And don't count 4 of the same kind as two pair-that's 4 of a kind, a very special hand.) How could you simulate 5-card hands? Be careful; once you've picked the 8 of spades, you can't get it again in that hand.

a) Describe how you will simulate a component.

b) Describe how you will simulate a trial.

c) Describe the response variable.

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Basic Statistics: Two pair or three of a kind when drawing five cards
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