Suppose that you start with a normal deck of 52 cards and remove everything except the...

Suppose that you start with a normal deck of 52 cards and remove everything except the twos, threes, and fours. So you now have a deck of twelve cards consisting of four twos, four threes, and four fours. A card is drawn at random and replaced then another card is drawn at random and replaced. Make a probability distribution for the sum of the two numbers that are drawn. Hint: List all the possible sums of two cards given 4 twos, four 3’s and four 4’s. Then count how many outcomes correspond to each sum!

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orchestra answered 2 years ago

Suppose that you start with a normal deck of 52 cards and remove everything except the...

Suppose that you start with a normal deck of 52 cards and remove everything except the twos, threes, and fours. So you now have a deck of twelve cards consisting of four twos, four threes, and four fours. A card is drawn at random and replaced then another card is drawn at random and replaced. Make a probability distribution for the sum of the two numbers that are drawn. Hint: List all the possible sums of two cards given 4...

task A normal deck of cards has 52 cards, consisting of 13 each of four suits:...

task A normal deck of cards has 52 cards, consisting of 13 each of four suits: spades, hearts, diamonds, and clubs. Hearts and diamonds are red, while spades and clubs are black. Each suit has an ace, nine cards numbered 2 through 10, and three face cards. The face cards are a jack, a queen, and a king. Answer the following questions for a single card drawn at random from a well-shuffled deck of cards. a. What is the probability...

Suppose that a deck of 52 cards contains 26 red cards and 26 black cards. Say...

Suppose that a deck of 52 cards contains 26 red cards and 26 black cards. Say we use the 52 cards to randomly distribute 13 cards each among two players (2 players receive 13 cards each). a. How many ways are there to pass out 13 cards to each of the two players? b. What is the probability that player 1 will receive 13 cards of one color and player 2 receive 13 cards of the other color?

Suppose that a deck of 52 cards contains 26 red cards and 26 black cards. Say...

Suppose that a deck of 52 cards contains 26 red cards and 26 black cards. Say we use the 52 cards to randomly distribute 13 cards each among two players (2 players receive 13 card each). a. How many ways are there to pass out 13 cards to each of the two players? b. What is the probability that player 1 will receive 13 cards of one color and player 2 receive 13 cards of the other color?

Suppose that you select 2 cards without replacement from a standard deck of 52 playing cards....

Suppose that you select 2 cards without replacement from a standard deck of 52 playing cards. a) If the first card that you select is NOT a heart, what is the probability that the second card that you select IS a heart? b) If the first card that you select IS a six, what is the probability that the second card that you select IS a diamond? PLEASE SHOW ALL WORK

Suppose you are dealt 5 random cards from a standard deck of 52 cards, where all...

Suppose you are dealt 5 random cards from a standard deck of 52 cards, where all cards are equally likely to appear. (a) What is your outcome space? (b) What is the probability that you receive the ace of hearts? (c) Let AH be the event that you receive the ace of hearts, AC the event that you receive the ace of clubs, AD the event that you receive the ace of diamonds, and AS the event that you receive...

Suppose we draw 5 cards at random, without replacement, from a deck of 52 cards (such...

Suppose we draw 5 cards at random, without replacement, from a deck of 52 cards (such a deck includes 4 Queens). Let X denote the number of Queens drawn. Define some indicator random variables X1,..., X5 so that X = X1+:::+X5. Then use the random variables you created to find E(X). Also calculate the E[X] if this time 5 cards are drawn with replacement.

You draw cards from a standard deck of 52 playing cards. There are 12 “face cards”...

You draw cards from a standard deck of 52 playing cards. There are 12 “face cards” in the deck (J, Q, or K). Let X be the number of drawings (with replacement) it takes until you get your ﬁrst face card. Let Y be the number of drawings (with replacement) it takes until you get your ﬁfth face card. Let Z be the number of face cards removed if you draw 10 cards without replacement. (a) Calculate P(X = 5)....

Suppose you draw a card from a well- shuffled deck of 52 cards. Determine the following...

Suppose you draw a card from a well- shuffled deck of 52 cards. Determine the following probabilities . a. drawing a 9 b.drawing a 3 or king c.drawing a spade d.drawing a black card e. DRAWING A RED KING

1， Suppose you want to divide a 52 card deck into four hands with 13 cards...

1， Suppose you want to divide a 52 card deck into four hands with 13 cards each. What is the probability that each hand has a king? 2. Suppose that X ∼ Bin(n, 0.5). Find the probability mass function of Y =2X, E(Y) , and D(Y).

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Suppose that you start with a normal deck of 52 cards and remove everything except the...

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