Two pair or three of a kind? When drawing five cardsrandomly from a deck, which is more likely, two pairsor three of a kind? A pair is exactly two of the samedenomination. Three of a kind is exactly 3 of the samedenomination. (Don’t count three 8’s as a pair—that’s3 of a kind. And don’t count 4 of the same kind as twopair—that’s 4 of a kind, a very special hand.) How couldyou simulate 5-card hands? Be careful; once you’vepicked the 8 of spades, you can’t get it again in thathand.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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Author:Amos Gilat
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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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