And Probabilities. Determine whether the events described in each exercise are independent or dependent. Then find the and probability of the events.   Selecting an all-male five-person jury from a pool of 10 men and 10 women. The answer to this is: Dependent, 21/1,292.    Discovering that your three best friends are all on born on a Sunday The answer to this question should be 1/343.   Getting five heads when you toss five (fair) coins simultaneously he answer to this is independent: 1/32

Q: The 52 cards in a deck are randomly and equally distributed among the four players of the card game.…

A:

Q: A multiple choice quiz has 10 questions. Each question has 5 possible answers of which only one is…

A: Given that A multiple choice quiz has 10 questions. Each question has 5 possible answers of which…

Q: You are to flip a fair coin, where probability of heads is equal to 50% (and tails is 50%). The fair…

A: Answer:- Given, The probability of head , P(H) = 50% = 0.50  The fair coin is flipped, n = 100000…

Q: Use the description of the event to answer the questions that follow. Gavin is taking two of his…

A: Given:The four children of Gavin are: Gladys, Bella, Kiley, and Zack. In alphabetical sequence, each…

Q: Find the values of the random variable Z and complete the table.

A: Here 4 coins are tossed

Q: You flip a coin 3 times. Find the probability of: 1. No heads 2. one head 3. two head

A: As per Bartleby guidelines I can't answer more than three sub-parts of the question per post.

Q: Suppose random variables X and Y are conditionally independent given random variable Z, i.e. P(X,…

A: Given that, P(X, Y|Z) = P(X|Z)P(Y|Z) (a). Then  P(Y/X,Z)= P(Y,X,Z)/P(X,Z)  (X and Y are…

Q: You roll a fair die four times. What is the probability that you roll at least one 3? O A. 1 O B.…

A: Required probability = 1- 0.83333*0.833333*0.833333*0.833333 = 0.518   Correct answer  is   (E).…

Q: Ferry 7 13 16 11 62 Rental Car Train 8 45

A: A Venn diagram for  travelers are given.The aim is to find the probability that a selected traveler…

Q: Two cards are drawn. After the first card is drawn and recorded it is put back in the deck. Then a…

A: a. There 4 five and 4 seven in a deck of 52 cards. If two cards are selected at random then the…

Q: Find the indicated probability. In a certain class of students, there are 8 boys from Wilmette, 6…

A: It is an important part of statistics. It is widely used.

Q: Find the probability. A bag contains 6 red marbles, 3 blue marbles, and 1 green marble. What is the…

A: Given: The bag contains 6 red marbles, 3 blue marbles, and 1 green marble. Total marbles: 6+3+1=10…

Q: Flip an unfair coin 5 times. The probability of each head is 0.2.What is the probability of 3 heads…

A:

Q: There are 3 red, 1 blue and 2 purple marbles in a bag. Once a marble is selected, it is replaced.…

A:

Q: In a refrigerator there are 17 bottles of diet soda, 5 bottles of regular soda, and 2 bottles of…

A: given data  17 diet soda5 regular soda2 water_________________24 total bottles P(event) = number of…

Q: 1. A deck of cards is distributed to 2 players: A and B. Find the probability that A gets four…

A: Probability of A = 1/169 Probability of B = 1/169 Joint ( A &B) = 1/169 + 1/169 = 2/169

Q: There are 3 red, 1 blue and 2 purple marbles in a bag. Once a marble is selected, it is replaced.…

A: There are total (3+1+2)=6 marbles We can pick 2 marbles with replacement in 62 =36 ways     We can…

Q: Dave's wardrobe contains 25 T-shirts, of which 12 are gray. Dave selects a T-shirt at random. What…

A: General formula of probability is ,   Probability = Number of favorable outcomes Total outcomes

Q: Two types of feed have been developed for a freshwater fish raised in fish farms. 40 of the fish fed…

A: The following information is provided in the question Average weight of fish fed on first feed = 175…

Q: At a school board meeting there are 35 parents and 10 teachers. 7 teachers and 15 parents are…

A: There are 35 parents and 10 teachers.  That is total number of people is 45. It is also known that,…

Q: Write your answer as a fraction reduced to lowest terms and as a percent rounded to the nearest…

A: When a coin is tossed then there are 2 possible outcomes.The probability of tossing a coin and it…

Q: Estimate the probability that a person who walks by the store will come in and buy something

A: here given , John runs a computer software store. He counted 120 people who walked by his store in…

Q: There are 4 cardio stations and 6 weight lifting stations at the gym. a. How many ways can you…

A: We have given, There are 4 cardio stations and 6 weight lifting stations at the gym.

Q: A professor surveyed his students and asked whether the students love business statistics. One…

A: Given,sample size(n)=100sample proportion(p^)=0.59

Q: There are ten female board members and twenty male board members. How many ways are there to make a…

A: Ways to make a committee of ten board members =  30C10=30!20!×10!=30045015

Q: Karlo wanted to pick a card randomly from a regular deck of 52 cards. What is the probability that…

A: According to the given information in this question We need to find the probability of getting a…

Q: You randomly select one card from a 52-card deck. Find the probability of selecting a red ace. O A.…

A: One card is selected from the deck of 52 cards. Suppose S denotes the sample space. Let A be an…

Q: A. Suppose four coins are tossed, show all the outcomes and find the probability of getting: 1. two…

A: As per company guidelines I solved only First questions .thank you

Q: You randomly select one card from a 52-card deck. Find the probability of selecting an ace or a 9. O…

A: We will find out the required value.

Q: II. In a neighborhood of 35 homes, 25 have pets. Suppose that 6 homes are selected at random. The…

A: Solution: Let X represent the number of homes in the sample that have pet.  The probability pet in…

Q: Suppose the candidate pool for two appointed positions includes 10 women and 5 men. All candidates…

A: Here N= 5men+10women =15   Selecting 2 men from 5 men is 5C2 ways   Probability of selecting of 2men…

Q: he accompanying table describes results from groups of 8 births from 8 different sets of parents.…

A: The ≥table shows the results from groups of 8 births from 8 different sets of parents.

Q: c. For a single randomly selected movie, find the probability that this movie's production cost is…

A: Given,Mean, μ = 66 million dollars.Standard deviation, σ = 18 million dollars.Using formula,

Q: After school, you go to Bob's Deli. You plan to purchase the "Special." On the "“Special," you have…

A: there is choice of white, wheat , rye or Bagel. The probability of ordering Bagel is given by 14.…

Q: 5. A pair of dice is tossed. Find the probability of getting a total of 8.

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.