Discrete Math Probability Proof
10) What is the probability that you receive a hand with at least one "Ace" when dealt with a five-card poker hand from a standard deck of playing cards? Write a proof.
Discrete Math Probability Proof 10) What is the probability that you receive a hand with at...
2. A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there? In 5-card stud poker, the cards are dealt sequentially and the order of appearance is important. How many 5-stud poker hands are there? 3. How many hands of 5-draw poker contain the ace of hearts? What is the probability that a 5-card draw hand contains the ace of hearts?
2. A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there? In 5-card stud poker, the cards are dealt sequentially and the order of appearance is important. How many 5-stud poker hands are there? 3. How many hands of 5-draw poker contain the ace of hearts? What is the probability that a 5-card draw hand contains the ace of hearts?
A six-card poker hand is dealt from a standard deck of 52 cards. Find the probability that has three cards of one suit, two cards of a second suit and one card of a third suit.
2. (10 points) Suppose you are playing blackjack against a dealer. In a freshly shuffled deck, what is the probability that either you or the dealer is dealt a blackjack? (Recall the game of blackjack is played with each player obtaining two cards at random from a regular deck. We say these two cards form a blackjack if one card is an ace and the other card is either a 10, Jack, Queen or King)
2. (10 points) Suppose you...
A 5-card hand is dealt from a well-shuffled deck of playing cards. What is the probability of getting a hand with three cards of the same rank? What is the probability of getting a hand with two cards of the same rank? Please write as legibly as possible
discrete structure
Recall that a standard deck of 52 cards has 4 suits (hearts, diamonds, spades, and clubs), each of which has 13 ranks: 2-10, Jack, Queen, King, and Ace (in order from lowest to highest). Order of cards in a hand does not matter (a) (10 points) A full house is 3 cards of one rank and 2 of another rank. How many full houses are there in a 5-card hand if either the pair or the 3 of...
In the game of blackjack, the player is initially dealt two cards from a deck of ordinary playing cards. Without going into all the details of the game, it will suffice to say here that the best possible hand one could receive on the initial dear is a combination of an ace of any suit and any face card or 10. What is the probability that the player will be dealt this combination?
4. Playing poker, you are dealt five cards from a deck of 52 playing cards. (Remember there are 4 suits (spades, hearts, diamonds, clubs) of 13 cards in each suit (A,K,Q,J,10,9,8,7,6,5,4,3,2).) What is the probability of being dealt at least one Ace in those first 5 cards? (without replacement) _________________ 5. Six books are randomly stacked on a desk. What is the probability that they will, by chance, be perfectly stacked in alphabetical order? ______________ 6. A group of 10...
11 (6 points). A 5-card hand is dealt from a well-shuffled deck of 52 playing cards. What is the probability that the hand contains at least one card from each of the four suits?
1. (25 total points) Probability and card games; Recall that an ordinary decdk of playing cards has 52 cards of which 13 cards are from each of the four suits hearts, diamonds, spades, and clubs. Each suit contains the cards 2 to 10, ace, jack, queen, and king. (a) (10 points) Three cards are randomly selected, without replacement, from an or- dinary deck of 52 playing cards. Compute the conditional probability that the first card selected is a spade, given...