3 The Sieben Siegel (Seven Seals) card game uses a non-standard deck. The deck has fifteen numbers (1 – 15) ineach of five colors (red, green, blue, yellow, and purple).a) How many cards are in the deck?b) If you are dealt six cards, what is the probability that they are all the same color?c) If you are dealt six cards, what is the probabiilty that you have two trios? (3 of one number and 3 of anothernumber)d) If you are dealt six cards, what is the probabilty that you have 3-of-a-kind? (3-of-a-kind means that 3 cardsare the same number, and the other three are different from each other and from the three that match.)

Answered: Image /qna-images/answer/5c51f014-08a5-4ee4-b495-b5e93779e821.jpg

Answered: 3 The Sieben Siegel (Seven Seals) card…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A player is dealt 3 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. ... a) How many ways can 3 cards be selected from a 52-card deck? There are ways that 3 cards can be selected from a 52-card deck. (Type a whole number.) b) Each deck contains 4 twos, 4 threes, and so on. How many ways can two of the same card be selected from the deck? There are ways that two of the same card can be selected from the deck. (Type a whole number.) c) The remaining card must be different from the 2 chosen. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 1 of them and then selects one of the 4 cards in the chosen rank. How many ways can the player select the remaining card? There are ways the player can select the remaining card. (Type a whole number.)
4. You draw 4 cards from a standard 52-card deck. What is the probability that you draw one card of each suit if: (a) You draw a hand of 4 cards, so you are holding them all at once? (b) You draw 4 cards one at a time, putting each card back and shuffling before you draw the next? (There are 4 suits in the deck; there are 13 cards of each suit.)
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: a) A(n) 8 of Spade s? (Please enter a reduced fraction.) b) A Heart or Club? (Please enter a reduced fraction.) c) A number smaller than 10 (counting the ace as a 1)? (Please enter a reduced fraction. ) 2+
A safe has a five-digit code. a) How many different codes are possible?b) How many different codes are possible if the digits can’t be repeated?c) Suppose you know that the code consists of the digits 0, 2, 5, 8, and 9, but you cannotremember in which order they go. What is the probability that you guess the correct code onthe first try?
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).If you select a card at random, what is the probability of getting:1) A(n) 3 of Club s? 2) A Spade or Club? 3) A number smaller than 6 (counting the ace as a 1)?
3. You are dealt two cards in a game of Texas hold’em and have no knowledge of any other cards. a) What is the probability of being dealt two spades? What is the probability that your cards are suited? b) What is the probability of being dealt a pair? c) What is the probability of being dealt no face cards and no aces?
In a standard deck of playing cards, four suits exist Each suit has 13 cards: Ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, and the face cards Jack (J), Queen (Q), and King (K). If you draw three cards, one at a time, and return each card to the deck before the next drawing, what is the probability that they will all be red Queens?
30. In the faculty parking lot, – of the vehicles are cars and the rest are trucks. Four sevenths of the trucks have bumper 3 stickers on them, while only one fifth of the cars have bumper stickers. If a vehicle from this lot is chosen at random, what is the probability that it a) does not have a bumper sticker given it is a car? b) is a car without a bumper sticker? c) has a bumper sticker?
A As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). a. If a card is randomly selected, what is the probability of drawing a(n) 10 of one suit? b. If a card is randomly selected, what is the probability of drawing club or diamond? c. If a card is randomly selected, what is the probability of drawing a number smaller than 3 (counting the ace as a 1)?
8. Riena has six unmarked CDs in a box, where each is dedicated to exactly one of English, mathematics, French, American history, chemistry, and computer science. Answer the following questions: a. If she chooses a CD at random, what is the probability she chooses the English CD? b. What is the probability that she chooses a CD that is neither math nor chemistry? ah a player rolls two
2. Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b) the twentieth card is a spade; c) the last five cards are spades; Candom Variables d) The last king appears on the 48th card.

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