# Question: If it is assumed that all poker hands are equally likely

If it is assumed that all

poker hands are equally likely, what is the probability of being dealt

(a) A flush? (A hand is said to be a flush if all 5 cards are of the same suit.)

(b) One pair? (This occurs when the cards have denominations a, a, b, c, d, where a, b, c, and d are all distinct.)

(c) Two pairs? (This occurs when the cards have denominations a, a, b, b, c, where a, b, and c are all distinct.)

(d) Three of a kind? (This occurs when the cards have denominations a, a, a, b, c, where a, b, and c are all distinct.)

(e) Four of a kind? (This occurs when the cards have denominations a, a, a, a, b.)

poker hands are equally likely, what is the probability of being dealt

(a) A flush? (A hand is said to be a flush if all 5 cards are of the same suit.)

(b) One pair? (This occurs when the cards have denominations a, a, b, c, d, where a, b, c, and d are all distinct.)

(c) Two pairs? (This occurs when the cards have denominations a, a, b, b, c, where a, b, and c are all distinct.)

(d) Three of a kind? (This occurs when the cards have denominations a, a, a, b, c, where a, b, and c are all distinct.)

(e) Four of a kind? (This occurs when the cards have denominations a, a, a, a, b.)

**View Solution:**## Answer to relevant Questions

Poker dice is played by simultaneously rolling 5 dice. Show that (a) P{no two alike} = .0926; (b) P{one pair} = .4630; (c) P{two pair} = .2315; (d) P{three alike} = .1543; (e) P{full house} = .0386; (f) P{four alike} = ...A pair of fair dice is rolled. What is the probability that the second die lands on a higher value than does the first? An instructor gives her class a set of 10 problems with the information that the final exam will consist of a random selection of 5 of them. If a student has figured out how to do 7 of the problems, what is the probability ...Compute the probability that a bridge hand is void in at least one suit. Note that the answer is not (Why not?) Two cards are randomly chosen without replacement from an ordinary deck of 52 cards. Let B be the event that both cards are aces, let As be the event that the ace of spades is chosen, and let A be the event that at least one ...Post your question