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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orchestra answered 1 year ago

In poker, there is a 52 card deck with 4 cards each of each of 13...

In poker, there is a 52 card deck with 4 cards each of each of 13 face values. A full house is a hand of 5 cards with 3 of one face value, and 2 of another. What is the probability that a random poker hand is a full house? You can leave your answer in terms of bionomial co-efficients and similar factors, but please explain each term.

Consider five-card-hands out of a deck of 52 cards. a) (10%) What is the probability that...

Consider five-card-hands out of a deck of 52 cards. a) (10%) What is the probability that a hand selected at random contains five cards of the same suit? (The suits are hearts, spades, diamonds and clubs.) Show a formula and compute a final answer. Show your intermediate computations. b) (10%) In how many different ways can a hand contain no more than 2 cards of the same kind. (E.g. not more than 2 queens.) Show a formula but you do...

How many different 4 card hands can be dealt from a deck of 52 cards? The...

How many different 4 card hands can be dealt from a deck of 52 cards? The order of the cards does not matter in this case.

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...

1. Two cards are drawn from a deck of cards (consisting of 52 cards: 13 cards...

1. Two cards are drawn from a deck of cards (consisting of 52 cards: 13 cards for each of the four suits, Spades (S), Hearts (H), Diamonds (D) and Clubs (C)). Drawing is done with replacement, that is, the first card is drawn, recorded and put back in the deck, then the second card is drawn and recorded. Assuming an outcome is recorded in the order which two cards are drawn, what is the sample space for this (random) phenomenon?...

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

2.Deck of cards(52 total cards; 13 denominations in each of 4 suits). Select a single card...

2.Deck of cards(52 total cards; 13 denominations in each of 4 suits). Select a single card at random from a deck of cards: a.Whatis the probability of selecting the king of hearts? b.What is the probability of selecting a king? c.What is the probability of selecting a heart? d.What is the probability of selecting a king or a heart?

1. (15pts) A standard 52-card deck consists of 13 cards from each of 4 suits (spades,...

1. (15pts) A standard 52-card deck consists of 13 cards from each of 4 suits (spades, hearts, diamonds, clubs). What is the probability that a 5-card poker hand drawn from a standard 52-card deck has (please give necessary explanation as the solution) (a) (5pts) 2 clubs, 1 hearts and 2 diamonds? (b) (5pts) 1 ace and 2 face cards (face cards refer to king, queen, or jack)? (c) (5pts) at least one ace? You may leave your expressions without evaluating...

Poker hands with ranking. Consider a regular deck of 52 cards as usual with 5 cards...

Poker hands with ranking. Consider a regular deck of 52 cards as usual with 5 cards dealt. You have learned all those 8 patterns: one pair, two pairs, three of a kind, straight, flush, full house, four of a kind, and straight flush (with royal flush a special kind of straight flush). Note ace is counted as both 1 point and 14 points. So in counting straight, A2345 and 10JQKA are both valid. Compute / derive the number of ways...

Poker hands with ranking. Consider a regular deck of 52 cards as usual with 5 cards...

Poker hands with ranking. Consider a regular deck of 52 cards as usual with 5 cards dealt. You have learned all those 8 patterns: one pair, two pairs, three of a kind, straight, flush, full house, four of a kind, and straight flush (with royal flush a special kind of straight flush). Note ace is counted as both 1 point and 14 points. So in counting straight, A2345 and 10JQKA are both valid. Compute / derive the number of ways...

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

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