3. Two cards are randomly selected from a deck of 52 playing cards.a) What is the probability they constitute a pair (that is, that they are of the samedenomination)?b) What is the conditional probability they constitute a pair given that they are ofdifferent suits?

Given: Two cards are randomly selected from a deck of 52 playing cards.

Answered: 3. Two cards are randomly selected from…

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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You have a bag of cubes that contains 15 red cubes, 13 green cubes, 5 blue cubes and 3 purple cubes. NOTE: Before each question is asked, you begin with a well-mixed jar of cubes. a) You draw one at random, what is the probability of getting a green cube? b) You draw one at random. What is the probability of getting either a blue or red cube? c) You draw two cubes without replacement. What is the probability that the second cube is red, if we know that the first cube was blue? d) You draw two cubes without replacement. What is the probability that both cubes were blue? Please show all work
Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in 8 envelopes . :.). Two envelops are selected at random, 1. find the probability that the envelops have red cards? 2. find the probability that they have cards of the same colors?
d) 0.10 2. A hand of cards contains 5 cards. If the hand is dealt from a standard 52 card deck, what is the probability the hand contains exactly 3 queens? (A standard deck of cards has 4 suits: hearts, clubs, spades, diamonds and 13 cards of each suit: ace through 10 plus jack, queen, and king) a) 0.0017 b) 0.0126 c) 0.0002 d) 0.0023 did doncity function.
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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
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.)
ASAP ! 2 hands of 10 cards each are randomly selected from an ordinary deck of 52 playing cards. a) Compute the probability that each hand has exactly two hearts and four diamonds. b) Compute the probability that each hand has exactly two hearts, four diamonds and two clubs. c) Compute the probability that each hand has exactly two clubs given that each hand has exactly two hearts and four diamonds.
7) In a standard 52-card deck, there are four suits (hearts, diamonds, clubs, spades), each with thirteen cards (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A). Find the probability that a. b. C. d. e. one card is selected which is a Q or a club. a Q is selected, replaced, and then a club is selected. a diamond is selected and then, without replacement, a club is selected. a face card (J, Q, K) is selected, replaced, and then another face card is selected. a face card (J, Q, K) is selected and then, without replacement, another face card is selected.
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3. Two cards are randomly selected from a deck of 52 playing cards. a) What is the probability they constitute a pair (that is, that they are of the same denomination)? b) What is the conditional probability they constitute a pair given that they are of different suits?