plans to draw distinct cards from a regular deck. a. What is the probability (C) that the magician will draw Three cards consisting a King, a Queen, and a Jack? b. What is the probability (C) that the magician’s First draw is a Spade and the Second draw is a Heart? c. What is the probability (C) on the events that the First card is a Black King, the Second card is a 2 or King, and the Third card is Greater than 4 but Less than 8?

plans to draw distinct cards from a regular deck. a. What is the probability (C) that the magician will draw Three cards consisting a King, a Queen, and a Jack? b. What is the probability (C) that the magician’s First draw is a Spade and the Second draw is a Heart? c. What is the probability (C) on the events that the First card is a Black King, the Second card is a 2 or King, and the Third card is Greater than 4 but Less than 8?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3. Four cards are drawn at random from a pack of 52 cards. Find the probability that (i) They are a king, a queen, a jack and an ace. (ii) Two are kings and two are aces. (iii) All are diamonds. (iv) Two are red and two are black. (v) There is one card of each suit. (vi) There are two cards of clubs and two cards of diamonds.
1. If a card is drawn from a standard 52 card deck, what is the probability that you draw the following? a spade? a 7? C. a black Jack? d. a face card? (Face cards are Jacks, Queens, and Kings) a. b.
In five card poker, a straight consists of five cards with adjacent denominations ( e.g. 9 of clubs, 10 of hearts, jack of hearts, queen of spades, and king of clubs). Assuming that aces can be high or low, if you are dealt a five-card hand, what is the probability that it will be a straight with high card 10? What is the probability that it will be a straight? what is the probability that it will be a straight flush ( all cards in the same suit)?
Imagine you are drawing three cards from a fair fifty-two card playing deck without replacement. a- what is the probability you will draw three aces b- what is the probability you will draw a King, Queen and Jack of any suite in any order c- what is the probability you will draw a black King, a Red queen, and a jack of any suite in that order? d- what is the probability you wil draw an ace, king, and queen of the same suite or three nines
1. When a single card is drawn from a well-shuffled deck of cards, what is the probability that it will be а. асе? b. red ace? c. a diamond? d. an ace or a diamond? e. ace of diamonds? f. ace given diamond ?
c) P(A) (7) Three cards are drawn from a deck without replacement. What is the probability that they are not all clubs?
You are dealt three cards successively (without replacement) from a shuffled deck of 52 playingcards. Find the probability that the first card is an ace, the second card is a king, and the thirdcard is a queen. (Hint: there are four of each kind of card in a fair deck.)
You and two best friends of yours are invited to a party of 10 people (including the host). a. Suppose the 10 people are randomly seated along the dining table. What's the probability that you and your best friends happen to sit next to each other, i.e., no one sits in between any of the three of you? b. After the dinner, four people are drawn randomly to play video games. What's the probability that at least one of your best friends are picked?
A regular deck of cards is shuffled. On the first draw, the queen of hearts is drawn and not replaced. On the second draw what is the probability drawing a Jack? On the second draw what is the probability of drawing a Queen? On the second draw what is the probability of not drawing a Queen?
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.