Three cards are drawn from a deck without replacement.  Find these probabilities.   a. all are jacks b. all are clubs c. all are red cards

Q: If a student is picked at random, what is the probability that a) he or she is a full-time student…

A: The data is given by   No work part time work full time work Total Full time student 0.15 0.22…

Q: 1. From a standard deck of 52 cards determine the probabilities: a. P( ace) b. P(black card) c.…

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Q: Select a card from a standard deck of 52 cards. Calculate the following probabilities: a) P(even…

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Q: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the…

A: In a standard deck of cards consists of 13 cards in each of four suits for a total of 52. Since…

Q: If A and B are independent events and P(A)=0.25 and P(B)=-0.333, what is the probability P(ANB)?…

A: It is given that P(A) = 0.25, P(B) = 0.333

Q: a) If you are dealt three cards, what is the probability that every card is of the same suit? b) If…

A: a) Three cards can be drawn from a well-shuffled pack of 52 cards in  52C3 ways, which gives an…

Q: One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following…

A: Total number of ways of drawing 1 cards from 52 cardsn(S)=52

Q: A person draws a card from a hat. Each card is one color, with the following probabilities is being…

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Q: Using a standard 52-card deck, find the following probabilities. Leave your answer as a reduced…

A: Total number of cards = 52 one suit contains 13 cards Number of suits = 4

Q: If R is the event that a convict committed armed robbery and D is the event that the convict pushed…

A: It is given that R denotes the convict committed armed robbery and D denotes the event that the…

Q: A single card is dealt from a standard 52 card deck. Give the following probabilities: • The…

A: The total number of cards in a standard deck of cards is, 52 The no.of queen cards is, 4 The no.of…

Q: A university has 20,000 students. The student have ages with the following probabilities: 40% are…

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Q: If two cards are selected from a standard deck of 52 cards and are not replaced after each draw,…

A: a)The probability of choosing the first 9 can be written as:

Q: You have five shirts, two pairs of shorts, and two pairs of sandals with which to make a summer…

A: Introduction: Each summer outfit would consist of exactly one shirt, one pair of shorts, and one…

Q: In a poker hand Consisting of the probability of 5 5 Card, find (a) Two 1O's 4 hearts and one club…

A: a) In a deck of 52 cards there are four 10'sAnd (52-4)=48 other cards We can draw two 10's in 4C2=6…

Q: A card is drawn from a deck of 52 playing cards. Given that it is a red card, what is the…

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Q: m a standard 52 de

A: To find: The probability of getting a black card or a Jack

Q: An experiment consists of picking a card at random from a standard deck of 52 cards. Find the…

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Q: If a card is drawn at random from a standard 52-card deck, what is the probability that the card…

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Q: If R is the event that a convict committed armed robbery and D is the event that the convict pushed…

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Q: A survey is being conducted in a county where 63% of the voters are Democrats and 37% are…

A: Given: A survey is being conducted in a country where 63% of the voters are democrats and 37% are…

Q: A salesperson plans to visit Avon, Batesville, Carmel, Delphi, and Evansville on his business trip.…

A: Given that A salesperson plans to visit Avon, Batesville, Carmel, Delphi, and Evansville on his…

Q: If a new car has, on average, 25 minor defects, what is the probability that the next new car will…

A: ANS GIVEN                 average(λ) =25 minor                      find p(x=25)  = ?

Q: IF Suzanna draws a card from a standard 52-card deck, what is the probability that it is a spade?…

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Q: The spinner is spun one time. Find the probabilities. A A B E

A: Given a spinner with indicated events.  We have to find the probability in problems 1 , 2 and 3.

Q: a. From a standard shuffled deck of cards, find the following probabilities: A draw of one card that…

A: In a standard deck of cards, every card is either red or black. So the probability of a card being…

Q: The probabilities that a printer will make 0, 1, 2, 3, or 4 or more mistakes in setting a document…

A: The variable x denotes the number of mistakes made by the printer. The random variable x takes the…

Q: What is conditional probability? If we know that P (A) = 1/3 , that P (B) = 1/2 , and that P(Bn A) =…

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Q: Using a standard 52-card deck, find the following probabilities. Leave your answer as a reduced…

A: Given - A standard 52 card of deck    Total cards of the deck is   n(S) =52

Q: Of all the Harry Potter books purchased in a recent year, about 60% were purchased for readers 14 or…

A: Of all the Harry Potter books purchased in a recent year, about 60% were purchased for readers 14 or…

Q: In an experiment, A, B,C, and D are events with probabilities P[A]= 2/8, P[B]=3/24, P[C]=15/24, and…

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Q: If a card is drawn at random from a standard 52-card deck, what is the probability that the card…

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Q: You draw a card from a standard deck of 52 cards, replace it, and draw another card. Find each…

A: Given, we draw a card from standard deck of 52 cards

Q: State whether or not the given assignment of probabilities to individual outcomes is legitimate,…

A: We know that There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: a. What is the probability that the random selected person is a female? b. What is the probability…

A: Given:   Total number of person=n(S) =347

Q: A card is drawn from a deck of 52 playing cards. Find the following probabilities as fractions. (a)…

A: In deck, total 52 cards, in which they are divide into 26(black) and 26(red). And these cards are…

Q: A.The probabilities that an automobile salesperson will sell 0, 1, 2, or 3 cars on any given day in…

A: We know that, ∑p(x) = 1 0.19+ 0.38+0.29 + 0.14 = 1

Q: Suppose A and B are two events with probabilities: P(A) = 45, P(B) = .55, P(AN B) = .15. a) What is…

A: Given Data: P(A)=0.45  P(B)=0.55P(A∩B)=0.15

Q: Tom,Dick and Harry have three deck of cards.If each of them pick pne card from their own deck at…

A: Given,  Tom,dick and Harry have three deck of cards. Each of them pick one card from their won deck.…

Q: A deck of playing cards contains 52 cards, four of which are aces. What is the  probability that…

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Q: 5B. John packs four t shirts for a trip to the beach. If he owns nine t shirts, four of which are…

A: 9. John owns nine t shirts out of which he packs four t shirts this can be done is 94 ways also…

Q: If 4 cards are dealta from a standard deck of 52 cards, what is the probability thatthat 3 will be…

A: According to formula of combination, the number of ways to select r objects from n objects is equal…

Q: In an experiment, A, B,C, and D are events with probabilities P[A]= 2/8, P[B] =3/24, P[C] =15/24,…

A: Two sets are said to be disjoint if they do not have any common elements. For example, let A=1, 2,…

Q: Which of the following statements has the greatest probability?

A: Here USE BAYES RULE FOR GIVEN SCENARIO

Q: 3. You are dealt two cards in a game of Texas hold’em and have no knowledge of any other cards. a)…

A: Given information: You are dealt two cards in a game of Texas hold’em and have no knowledge of any…

Q: If R is the event that a convict committed armed robbery and D is the event that the convict pushed…

A: a) The event R defines that a convict committed armed robbery.

Q: Two cards are drawn from a deck of 52 cards. Find the following probabilities. a) Find the…

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Q: a) a red ball on the first draw and a white ball on the second (b) 2 white balls

A: A box has 1  red ball and 2 white balls .

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.