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: Receipts often show the last four digits of a credit card number. If only those last four digits are…

A: For n no. of independent experiments, each experiment having m no. of possible options, the total…

Q: na ceratin village in Kenya, 8% of the inhibitants have malaria. If 5 inhabitants of the village are…

A: Given, p =  8% = 0.08 n = 5 q = 1-0.08 = 0.92 To find : P(at least one of them having maleria) We…

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: What is the probability of winning the first prize? What is the probability of winning the second…

A: You are at a Data Management Game Fair and decide to participate in a classmate’s letter game. To…

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a Diamond or a…

A: Deck consists of 52 cards. n(S)=52 Let D be event that card is diamond. n(D)=13 Let H be event that…

Q: In the 6/25 lottery game, a player selects 6 numbers from 1 to 25. What is the probability of…

A: Given,numbers from 1 to 25

Q: A modified roulette wheel has 32 slota. ONE Slot is 0, another is 00, and the otheres are numbered 1…

A: 0 and 00 are neither odd nor even. In 1 through 30, there are 15 even numbers. So number of chances…

Q: In a certain​ lottery, you must correctly select 4 numbers​ (in any​ order) out of 28 to win. You…

A:

Q: the school are female. Of ride. Of the males, 54% Brentwood student at udents gets a ride to

A: E1: Male   P(E1) = 0.48 E2: Female  P(E2) = 0.52 A: Walk to School P(A|E1) = 0.54 P(A|E2) = 0.4

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: A game is played with 3 fair coins. If 2 or 3 heads are obtained, the player wins. What is the…

A: toss 3 coin win if 2 or 3 heads rolled P(win) = ?

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: You draw 12 cards (without replacement) out of a shuffled deck of 52 cards. Determine the…

A:

Q: you used a penny. You get 26 tales and 29 heads what is the experimental probability.

A: In this problem, experimental probability is to be determined.

Q: On a grocery store shelf, there are 16 loaves of white bread and 15 loaves of wheat bread. A shopper…

A: The objective of this question is to find the probability that a shopper randomly selects a loaf of…

Q: Your favorite board game used a spinner with three equally possible outcomes: red, yellow, or blue.…

A: There are three colors which are equally possible. So, the probability of getting red = 13the…

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: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, and Georgia are invited to a dinner party. They…

A: Total number of members invited to a dinner party = 7So, the total possible number of ways of…

Q: You draw three bolls from a box containing 9 red and 10 blue bolls. What is the probability to draw…

A: A box contains 9 red and 10 blue bolls.

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a face or a…

A: Given : Let A be the event of getting face card from a deck of well-shuffled cards  P(A) = 1252 Let…

Q: Three cards are dealt from a shuffled standard deck of playing cards. What is the probability that…

A: GIVEN DATA : Three cards are dealt from a shuffled standard deck of cards.       TO FIND :…

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: basket contains 7 yellow apples and 4 red apples. Margo picks two apples without looking. a. What…

A:

Q: If you know the names of the remaining ten students in the spelling bee, what is the probability of…

A: To find: Probability of selecting the correct spelling bee order.

Q: A poll is given, showing 55% are in favor of a new building project. If 6 people are chosen at…

A: The total number of trials n=6The number of successful trials x=5The probability of success p= 55%…

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: Xerxes, Murray, Norah, Stav, Zeke, Cam, and Georgia  are invited to a dinner party.  They arrive in…

A: GivenThere are total 7 peopleTotal no of ways they can arrive is 7!No of ways Xerxes arrives first =…

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit.…

A: Given information- We have given a deck of cards. In a deck consist of 52 cards. It has 4 suits…

Q: 34% of teenagers in a small town say they like reading news online. Suppose you randomly select 10…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

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.