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...

See similar textbooks

Similar questions

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.
26. Two cards are drawn from a standard deck without replacement. What is the probability of drawing: a) two clubs? b) an ace and then a two? c) a red three and then a black queen? d) the jack of spades and then the six of diamonds? e) the jack of spades and the six of diamonds?
Please answer all subparts.
Michelle and Kim are playing a tennis match. The winner will be the first person to win two sets. Kim is the better player, and in fact whenever they play a set the probability is 2/3 that Kim will win the set. (Hint: Draw a tree diagram for a three set match) a) what is the probability that Michelle will win the match? b) if she wins the first set, what then is the probability that she will win the match? c) what is the probability that she wins the first set given that she wins the match? d) what is the probability that the match will last for three sets?
One card is drawn from a standard deck of 52 cards. What is the probability that it is: a) a spade? b) a face card? c) a black ace? d) a black card and a seven? e) a black card or a seven? a face card or a heart? g) a face card and a heart?
28. A box contains 5 green, 3 blue, and 2 yellow marbles. Two marbles are chosen at random, without replacement. What is the probability that: a) the second one chosen is blue given the first is yellow? b) the second one chosen is green given the first is green? c) both are the same color? d) a green or a yellow is chosen? e) no yellow is chosen?
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.)
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.
1) Two balls are drawn in succession out of a box. The first ball is not replaced after the first ball is drawn. The box contains 4 red balls and 3 white balls. a) Draw a probability tree and list the possible outcomes. b) What is the probability that both balls are the same color? Write your answer as a fraction.
Tyson Corp. stock has returns of 3%, 18%, -24%, and 28% for the past four years. Based on this information, what is the 99% probability range for any one given year? Select one: Oa 24.5 to 34.3% O b.-61.7 to 74.2% OC.-8.4 to 11.7% Od.-16.4 to 28.9% e. 39.0 to 51.5%
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

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

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?