Consider a deck of 8 cards consisting of two heart cards, two club cards, two spade...
Consider a deck of 8 cards consisting of two heart cards, two club cards, two spade cards and two diamond cards. This deck is well shuffled and two cards are drawn. Let X denote the number of suits among your two cards. Find the variance of X.
Consider the following card game with a well-shuffled deck of cards. If you draw a red card, you win nothing. If you get a spade, you win $5. For any club, you win $12 plus an extra $15 for the ace of clubs. Let Xi denote the possible winnings in this scenario How much should one pay to play so this game breaks even?
Suppose a standard deck of 52 playing cards is thoroughly shuffled and a single card is drawn. Suppose an ace has value 1, a jack has value 11, a queen has value 12, and a king has value 13. (a) Compute P(X = x) for every real number x, when X is the value of the card drawn. (b) Suppose that Y = 1, 2, 3, or 4 when a diamond, heart, club, or spade is drawn. Compute P(Y =...
Play Your Cards Right Obtain a standard deck of 52 playing cards. Mix them well and count out 25 cards WITHOUT LOOKING AT THEM. Put aside the remaining cards. You are going to perform an experiment to estimate the probablity of drawing a club, a diamond, a heart, and a spade from your deck of 25 cards. A. Mix the 25 cards well Draw one card. Record its occurrence in the approprlate box. below B. Replace the card and shuffle...
A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability that the card drawn is: a) a Diamond? b) an ace o4 a red card? c) a spade or a face card?
An ordinary deck of 52 cards of four suits. The queen of spades is randomly drawn and removed from the well shuffled deck. What is the conditional probability p that one card drawn randomly from the remaining deck will be a face card or a club?
5. (10) A standard deck of cards contains 52 cards. (Round to THREE decimal places as needed.) Compute the probability of randomly selecting a heart or spade if one card is selected from the deck randomly a. Compute the probability of randomly selecting a heart or spade or club if one card is selected from the deck randomly. b. c. Compute randomly. the probability of randomly selecting a two or diamond if one card is selected from the deck d....
4 cards are randomly drawn from a standard deck of playing cards. What is the prob- ability that all their suits are different? Hint: There are 52 cards in a standard deck of playing cards. A card can have 4 different suits: diamond ( ♦ ), club ( ♣ ), heart ( ♥ ), or spades ( ♠ ). There are 13 cards of each suit. Cards are further labeled by their rank: numbers 1 to 10 and three face...
Question 2 [20 marks A casino is analysing a poker game where 3 cards are dealt to the table by the dealer and two to a player, from a standard deck of 52 cards. Suppose 2 of the 3 cards on the table are Hearts and the player is holding 2 Hearts in his hand. The dealer's next action is to deal two more cards from the deck to the table. The player is interested in getting a flush which...
All of these questions are about a normal deck of 52 cards 1. Suppose two cards are chosen without replacement. If we consider only the suits of the two cards, what is the sample space? 2. Suppose a single card is drawn. If we define events ? and ? as below, find ?(? or ?). ? = card is a spade ? = card is a king 3. Suppose again a single card is drawn from the deck. Define two...