Lemma
EasyConditional probability
OpenStax, Introductory Statistics 2e §3.2 Independent and Mutually Exclusive Events · Example 1 · Probability · Conditional probability

Independent and Mutually Exclusive Events · Example 1

You have a fair, well-shuffled deck of 52 cards. It consists of four suits. The suits are clubs, diamonds, hearts, and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), and K (king) of that suit. S = spades, H = Hearts, D = Diamonds, C = Clubs.

(a) Suppose you pick four cards, but do not put any cards back into the deck. Your cards are QS, 1D, 1C, QD.
(b) Suppose you pick four cards and put each card back before you pick the next card. Your cards are KH, 7D, 6D, KH.
Which of a. or b. did you sample with replacement and which did you sample without replacement?

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OpenStax, Introductory Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Example 1

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