7. Suppose we have a deck of non-standard cards. There are 4 suits, just like normal cards. Fro eachsuit, we have a 1,2,3,...10. We will consider 4 cards hands.(a) How many hands contain four of a kinds?(b) How many hands contain three of a kinds?c) exactly one pair. that is the other 2 cards donot make the hand better.(c) How mạny hands contain a pair?

Given information: Total number of cards = 40

Answered: 7. Suppose we have a deck of…

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 are teaching a math class, and have seventeen students who are so hard-working and invested, you offer to reward them with a math textbook. From your collection of 50 math books, you select 15 different books for them to chose from. How many ways are there to select 15 books from your collection? How many ways are there of giving books to those students?
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four Aces, four Kings, four Queens, four 10s, etc., down to four 2s in each deck. You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second. (a) Are the outcomes on the two cards independent? Why? (b) Find P(eight on 1st card and seven on 2nd). (c) Find P(seven on 1st card and eight on 2nd). (d) Find the probability of drawing an eight and a seven in either order.
D, E, F ONLY
If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be arranged?
(combination) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-cards hands are there consisting of all diamond suits? b. How many 5-cards hands are there consisting of 3 face-cards, 1 king, and 1 spade?
. A woman wants to select 5 pair of shoes from six pairs of red shoes, 4 pairs of white shoes and 3 pairs of black shoes. In how many ways can it be done if at lest she must chose a pair of black shoes.
An ordinary deck of cards contains 52 cards divided into four suits. The red suits are diamonds () and hearts (♥), and the black suits are clubs (+) and spades (). Each suit contains 13 cards of the following denominations: 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), and A (ace). The cards J, Q, and K are called face cards. Imagine choosing a card at random from a thoroughly mixed deck. Consider the event that the denomination of the chosen card is at most 4 (counting aces as 14). Which of the following expresses this event as a set? O {4, 4, 4, 4♥} O {2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3♥, 4♥} O {24, 3, 2, 3, 24, 34, 2♥, 3♥} O {A, 2, 3, 4, A, 2, 3, 4, A, 2, 3, 4, A, 2♥, 3♥, 4♥} O {A, 2, 3, A, 2, 3, A, 2, 3, A, 2♥, 3♥} ********* What is the probability of this event? Enter a fraction, integer, or exact decimal. Do not approximate.
Answer the following question accordingly. Thanks in advance!
2. Molly really enjoyed country music. After listening one afternoon to her favorite station foran hour, she had heard 25 songs. All but 1 song were about either truck drivers, being in love,hound-dog owners, or some combination of the three. She noted the following information: Allof the truck drivers were in love. Three-fourths of the truck drivers were not hound-dogowners. There were six hound-dog owners who were in love. Of the hound-dog owners whowere not truck drivers, half of them were in love. Eighty percent of all the songs concernedpeople in love. How many songs concerned people who were in love but were neither truckdrivers nor hound-dog owners?
You randomly draw 10 cards from a deck of 52 playing cards without replacing the card between draws. What is the propbability that you draw 2 clubs, 2 hearts, 2 diamonds, and 4 spades?
This problem will refer to a standard deck of cards. Each card in such a deck hasa rank and a suit. The 13 ranks, ordered from lowest to highest, are 2, 3, 4, 5, 6, 7, 8, 9, 10,jack, queen, king, and ace. The 4 suits are clubs (♣), diamonds (♢), hearts (♡), and spades (♠).Cards with clubs or spades are black, while cards with diamonds or hearts are red. The deckhas exactly one card for each rank–suit pair: 4 of diamonds, queen of spades, etc., for a total of13 · 4 = 52 cards. Take a look at the screenshot please!
G. ONLY

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