A card is drawn from a deck of 52 playing cards a) Find the odds in favor of drawing a face card b) Find the odds against drawing a face card of

Q: Refer to a deck of fifty-two playing cards (jokers not allowed). (a) How many five-card poker hands…

A: There are 4 jacks and 4 queens in a deck of 52 cards.We can selct 3 jacks from 4 jacks in 4C3=4…

Q: In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both…

A:

Q: In tossing a coin, how many ways are there of tossing 4 heads out of 7 tosses?

A: The number of tosses is 7.

Q: A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes.

A:

Q: In how many ways can 7 different cards be laid out on a table in a row?

A: Given information: The total number of cards = 7 It is required to obtain the number of ways in…

Q: An experiment involves tossing five coins. How many elements are there in the domain?

A:

Q: How many possible 5-card hands from a standard 52-card deck would consist of the following cards?…

A: a) There are 13 clubs and (52-13)=39 non-clubs. We have to pick 3 cards from 13 clubs and 2 cards…

Q: How many possible​ 5-card hands from a standard​ 52-card deck would consist of the following​ cards?…

A: 52 cards are there in a deck consists of 4 denomination. Each denomination contains 13 cards. 5…

Q: From an ordinary 52 deck of playing cards, 2 cards are drawn without replacement. Find (a) P(Two…

A: Given that  From ordinary 52 deck of playing cards. 2 cards are drawn without replacement.   We know…

Q: An ordinary deck of 52 cards consists of four suits: clubs, diamonds, hearts spades A. How many…

A: Given An ordinary deck of 52 cards consists of four suits:  clubs, diamonds, hearts spades

Q: 22. How many ways may 4 cards be drawn randomly from a deck of 52 cards?

A: Query- How many ways may 4 cards be drawn randomly from a deck of 52 cards. Answer- , As we are…

Q: In a deck of 52 playing cards (jokers not allowed), how many five-card poker hands consisting of all…

A: A deck of 52 playing cards contain four suits namely clubs, hearts, diamonds and spades. Each suit…

Q: The American roulette wheel consists of 38 equal sections occupied by the numbers 1 through 36, plus…

A: Probability of an event gives the chances of occurrence of the event. The probability of an event is…

Q: From a survey of 100 college students, a marketing research company found that 80 students owned…

A: We have to find probability..

Q: How many five-card hands contain exactly four jacks or exactly four black cards?

A: Total cards in a deck = 52 Total Jacks = 4 Total black cards = 26

Q: How many five-card hands (drawn from a standard deck) contain exactly two queens? (A five-card hand…

A: We have to find out given probability..

Q: This exercise efers to a standard deck of playing cards. Assume that 6 cards are randomly chosen…

A:

Q: A person is playing a card game in which they receive 3 cards from a dealer. If the order doesn't…

A: The answer is given as follows :

Q: how many five card poker hands consist of a four of a kind?

A: In a standard deck of cards, there are 52 cards in total out of which there are 13 different…

Q: For a standard 52-card deck (with 13 cards of each suit), how many ways are their to choose a 5 card…

A: Total number of cards in a deck = 52                          Number of suits = 4   Number of cards…

Q: A theater was designed to have 24 seats in the first row, 30 seats on the second row, 36 seats on…

A:

Q: a) all are queens? b) Two are face cards? c) There is at least one ace?

A: HERE given ,   The tens, jacks, queens, kings and aces are removed from a standard deck of cards.…

Q: (a) How many red cards are there in a deck of cards? (b) What fraction of a deck is red?

A:

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

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Q: 2 Aces, 2 Jacks, and a red Queen?

A:

Q: (a) ..you replace each card and reshuffle after drawing? (b) ...you do not replace each card after…

A: As per given by the question, there are three card picking from a fair deck. i.e. jacks, Queen, and…

Q: Seven cards are marked with the numbers 1, 2, 3, 4, 5, 6, and 7, then shuffled, and two cards are…

A:

Q: In the 6/51 lottery game, a player picks six numbers from 1 to 51. How many different choices does…

A: Given: Total numbers in the lottery game=51 Numbers picked by player=6 The objective is to find the…

Q: how many permutations of the three letters C,D, and E are possible?

A: A permutation is the organization of a set of components in a particular order.

Q: How many five-card hands (drawn from a standard deck) contain exactly three nines? (A five-card hand…

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: b) In how many different ways can five friends sit for a photograph of five chairs in a row?

A: Given :              There are five friends sit for a photograph in a row of five chairs.…

Q: How many five-card hands have exactly two Queens?

A: The total cards in a deck = 52 Total queens = 4 There will be two of the four queens, and three…

Q: In poker, the jack, queen, and king are called "face cards". How many 5-card poker hands contain…

A: In poker the Jack, Queen, and king are called face cards how many 5-card poker hands contain only…

Q: When drawing a card from a deck, the P(king and hearts) is: O 1/12 1/52 O 1/13 O 1/4

A:

Q: In the 6/55 lottery game, a player picks six numbers from 1 to 55. How many different choices does…

A: In the 6/55 lottery game, the number of different choices players have is calculated as shown below…

Q: 4. a) How many 5 card poker hands are there with 2 hearts and 3 spades? b) How many 5 card poker…

A: Given: 5 card poker hands with 2 hearts and 3 spades and 5 card poker hands with 4 of a kind

Q: From a standard 52-card deck, how many 6-card hands consist entirely of black cards? There are…

A:

Q: To play a particular card game, each player is dealt five cards from a standard deck of 52 cards.…

A: Permutations and combinations are used to select arrange a certain number of quantities from a group…

Q: Consider a deck of 52 cards.  a. How many different 5-card hands can have 5 cards of the same suit?…

A:

Q: (a) In how many ways can 13 cards be selected from a deck? (b) In how many ways can 13 cards be…

A: There are 52 cards in a deck we need to select 13 from a deck of 52 cards 13 cards can be selected…

Q: a) How many different three-of-a-kind regular poker hands are there? b) How many different…

A: a) The number of three of a kind hands is computed here as:

Q: In how many ways can three hearts be drawn from a deck of cards? (Order is not important.) _____…

A: Given: There are 13 hearts in total

Q: In Poker, how many ways are there to get Four-of-a-kind with a single Ace as fifth card?

A: The favorable observations are the one in which out of 5 cars 4 cards are either spades, club,…

Q: Find the number of full houses in a poker hand, that is, the number of poker hands with three of a…

A: Let there be 4C3 =4 by choosing the 3 cards of the same typesand 4C3 =6  by choosing…

Q: In how many ways can 3 heads occur when 6 coins are flipped?

A:

Q: ståndard deck that is a spade and a red P/13 5/27 48

A: In a well shuffle standard deck, there are 26- Red cards26- Black cards Out of these,  In Black…

Q: 0. How many different 5-card hands can be dealt from a 52-card deck?

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Is Rolling a 6 on one die and rolling a 5 on another die Independent? or Is Drawing an ace on a…

A: Independent events: Let be the two events A & B are said to be independent, if the occurrence of…

Q: 11.) Find how many different poker hands you can make in a game of 5 card stud.

A: Since you have asked multiple question, we will solve the one question for you. If you  want any…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.