Draw a tree diagram representing the following question and determine the probability: A card is drawn from a 52 card deck.  We continue to draw until we have drawn a king or until we have drawn five cards, whichever comes first.  Draw a tree diagram that illustrates the experiment.  Put the appropriate probabilities on the tree. Find the probability that the drawing ends before the fourth draw

Q: Consider the experiment of drawing a card at random from a shuffled deck of 52 cards. What is the…

A: Let B be an event of  drawing a black card, thenPB =no. of black cardstotal no. of cards=2652=0.5

Q: (a) Flip a coin 500 times virtually. Then explain how it compares to the probability of flipping a…

A:

Q: Tree Diagram: Suppose there are six balls in an urn. They are identical except for color. Four of…

A: Hi, we are supposed to answer one question at a time. Since you have not mentioned which question to…

Q: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​. The order of the…

A: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​.

Q: An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of…

A: From the provided information, Total cards in standard deck = 52 Number of queen of spades = 1

Q: Historically 20 % of workers participate in a retirement plan. A group of 5 workers is randomly…

A: Given data, 20 % of workers participate in a retirement plan.  p=20% =0.20 A group of 5 workers is…

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: In a town, 61% of adults have health insurance. What is the probability that 5 adults selected at…

A: The binomial distribution is a discrete probability distribution. It has n independent Bernoulli…

Q: In a class of 20 students, 7 play an instrument and 9 play a sport. There are 9 students who do not…

A: The total number of students is .The total number of students who play an Instrument is .The total…

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: A poll is given, showing 20% are in favor of a new building project. If 6 people are chosen at…

A: According to the given information,Probability of success, Sample size, n = 6Let X be a random…

Q: Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a…

A: The given question is solved below.

Q: A person gets to draw one card at random from a jar with four cards for a cash price . The card…

A: Given No. of randomly selected draw card=1 Total cards in jar=4 Card values =1, 2, 4, and 5

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: You play a game of chance. You draw a card from a 52-card deck. You continue to draw until you have…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: You are given a standard deck of 52 cards. Three cards are chosen at random with replacement. What…

A: There are a standard deck of 52 cards and we have to find probability of choosing an ace, a spade,…

Q: Jimmy has a drawer with eight pairs of socks, of which four pairs are yellow (Y) and four pairs are…

A: Given: Total number of pairs  = 8 = (16 socks) Number of Yellow pairs = 4 = (8 socks) Number of Red…

Q: An office supply store manager checks a box of pens. There are 16 pens in the box. The manager…

A:

Q: In a business, 9288 employees out of 9533 are using the company’s 401K plan.  Is it unusual to pick…

A: From the given information we find the solution.

Q: An experiment consists of dealing 5 cards from a standard​ 52-card deck. What is the probability of…

A: An experiment consists of dealing 5 cards from a standard​ 52-card deck. To find the probability of…

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: the sales manager knows that 13% of his clients do not pay their debts in full. He supposes that he…

A: We have to find out the given probability that 9% or more will not be fulfilled in their…

Q: If you roll two six-faced dice together, you will get 36 possible outcomes. Answer the following…

A: If two dice are rolled than the possible out comesare 36.

Q: One card is drawn from a well-shuffled deck of 52 cards. Find the following. The probability of an…

A:

Q: An urn contains 30 red gumball and 35 blue gumballs. Two are chosen at random, one after the other,…

A: For the given data Find the required probabilities

Q: An experiment consists of dealing four cards from a standard 52-card deck. What is the probability…

A: Four cards are dealt from a standard deck of 52 cards.

Q: In the Illinois Little Lotto game, you win the jackpot by selecting five different whole numbers…

A: Given information, In the Illinois Little Lotto game, you win the jackpot by selecting five…

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: In a village in Kenya, 8% of the villagers have malaria. If 5 villagers are chosen at random, wh

A: Given information, The percentage of the villagers have malaria is 8%. There are 5 villagers chosen…

Q: Use a probability tree to answer the following. A jar contains 4 red marbles, 10 green marbles, and…

A:

Q: A bag contains 14 red and six blue marbles. You are asked to select two marbles from the bag. The…

A:

Q: Five coins are tossed. What is the probability of getting all heads or all tails?

A:

Q: Find the requested probability using the tree diagram below

A: Given, The tree diagram in the problem.               To find, P (B if R) = ?

Q: At a peace summit, seven Hatfield and nine McCoy family members sit down for a meeting. If the…

A:

Q: A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement.…

A: Given information is shown in the probability tree

Q: A national survey indicated that 50% of adults conduct their banking online. It also found that 40%…

A: It is given that, 50% of adults conduct their banking online. It is also given that, 40% are under…

Q: A tile is selected at random from  6  tiles. Each tile is labeled with a different letter from the…

A:

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.