2. Amagician plans to draw distinct cards From a regular de ck.a what is the probability (c) that the magician will draw- Three card« concictinga Spade, a clubs, and a dia mond ?b. what is the probability (C) that the magician's First draw a Jack and the Seconddraw is an Ace?c. What is the probability (C) on the events that the First card is a Red Queen, theSecond card is an Ace or Queen, and the Third card is Greater than 5 but less han 9?

FROM THE GIVEN INFORMATION WE KNOW THAT IN PACK OF CARDS TOTALLY CONTAINS 52 CARDS.OUT OF THOSE 13…

Answered: 2. A magician plans to draw distinct…

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.
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
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.)
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 ?
Q. Two cards are drawn in succession without replacement from a ostandard 52-card deck. Compute the probability that (i) the second card is a red if the first card is the king of hearts; (ii) Both cards are black.
9. You have just bought a ticket for the Chamber of Commerce lottery, and your friend has bought two tickets. You read in the local paper that 500 tickets were sold, and the winner will be chosen tomorrow. a. What is the probability that will win? you b. What is the probability that your friend will win? c. What is the probability that either you or your friend will win? d. What is the probability that you and your friend will win?
2. A card is drawn from a well-shuffled normal pack of 52 cards. the card is checked, replaced, and the pack is reshuffled. What is the probability of getting two kings when this is done twice? What is the probability that if this is done three times, you will get 3 spades? What is the probability that if this is done four times, you will get 4 aces? What is the probability that if this is done three times, you will get 3 number cards? What is the probability that if this is done 5 times, you will get 5 court cards (J,QK)?
5. Voratas is being dealt a five-card poker hand from a well-shuffled, standard deck of cards. The first three cards that he is dealt are 44 , KO, and KO. What is the probability that he will be dealt a full house? (Recall that a full house is two cards that form a pair and three cards that form a 3-of-a-kind, AND necessarily, of course, the pair and the 3-of-a-kind are of different ranks).
1. From a deck of 52 cards (Ace, 2, 3.......10, Jack, Queen, King; with each one havingclubs or flower, spade, heart and diamond). When a card is drawn, what is theprobability that the card is a(a) 7 (b) 7 of heart (c) heart (d) either 7 or heart2. What is the probability of getting a 2 or a 5 when a dice is rolled?3. Referring to the important health practices advocated by the California study, supposethat in a senior college class of 500 students its is found that 210 smoke, 258 drink alcoholicbeverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eatbetween meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52engage in all three of these bad health practices. If a member of this sneer class is selectedat random, find the probability that the studenta. smoke but does not drink alcoholic beverages;b. eats between meals and drinks alcoholic beverages but does not smoke;c. neither smokes nor eats between meals.
2 cards are randomly selected from an ordinary playing deck (joters not incluard) Assume picture cards count as 10, ace$1, and all other cards as their face value. What is the probability that the two cards form a blackjack (add up to 21) ?

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