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?
Added by John D.
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This means that after each pick, the total number of cards in the deck decreased. This is an example of sampling without replacement. Show more…
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For a deck of 52 cards 52 cards have 13 values and 4 suits The suits contain clubs, diamonds, spades, and hearts For each suit, there are 13 card values, 2 to 10; 3 "face cards", jack, queen, king which represent card values 11, 12, 13 and ace which represents card value 1. Assume someone randomly drew 3 cards from the deck of 52 cards, without replacement. Find the probability such that the total sum of card values is 35. Example: if someone gets 10 of heart, jack of spade, and 9 of diamond, the total sum of card values is 30.
Rosina D.
Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥ Red Diamonds A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦ Black Spades A♠2♠3♠4♠5♠6♠7♠8♠9♠10♠J♠Q♠K♠Black Clubs A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣ Suppose one card is drawn at random from a standard deck. Answer each part. Write your answers as fractions. (a) What is the probability that the card drawn is a face card? (b) What is the probability that the card drawn is a club? (c) What is the probability that the card drawn is a face card or a club?
Audrey F.
A standard deck of 52 cards consists of 4 suits with 13 cards each. Two of the suits, clubs and spades, are black while the other two suits, hearts and diamonds, are red. Each suit consists of an ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K). Thus, there are 4 of each type of card (i.e. a 3 or Q) in each suit in the deck. An experiment consists of drawing 4 cards with replacement. Answer the following questions: 1. Suppose after drawing each card the experimenter writes down the color (red or black) of the card only. How many outcomes are in the sample space? 2. If only the number/letter on the card is noted, how many outcomes are possible? 3. Suppose now that the experimenter records the exact card (e.g. 2 of hearts or K of diamonds). How many outcomes are possible?
Madhur L.
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