A city council consists of 4 democrats and 7 republicans. If a committee of 6 people is selected then find the probability of selecting 5 democrats and 1 Republican.  Answer must be written in a simplified fraction.

Q: On a 5 question multiple-choice test, where each question has 2 answers, what would be the…

A: From the provided information, Total questions that is number of trails (n) = 5 Each question has 2…

Q: A city council consists of five Democrats and six Republicans. If a committee of four people is…

A:

Q: Find the probability of choosing a committee of 3 men and 2 women from a group of 8 men and 6 women?…

A: There are group of 8 men and 6 women We need to select 3 men and 2 women. Use combination Total of…

Q: From a group of 10 people, you randomly select 3 of them. What is the probability that they are the…

A:

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

A: Brief answer is given below.

Q: A test has a 5 items with 4 choices each item. What is the probability of getting 1 correct answers…

A: Solution-: A test has a 5 items with 4 choices each item. We want to find P(getting 1 correct…

Q: Determine the following if 2 coins are tossed with possible outcomes of heads and tails. What is the…

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Q: you are to choose two numbers from 1 to 7. What is the probability of choosing the second number…

A:

Q: On a 10 question multiple-choice test, where each question has 2 answers, what would be the…

A: Given there are 10 questions and each question has 2 answers. P(Correct)= 1/2 P(atleast one wrong)=?…

Q: To win one million dollars in a lotto game, you must correctly choose 7 numbers from 65 possible…

A: Introduction: Given that the player must choose 7 numbers from 65 numbers to win one million dollars…

Q: Two different colored dice are rolled simultaneously. What is the probability of getting a sum of 8…

A: we know that, Probability of particular event = Number of desired outcomes / total number of…

Q: A general manager is forming a committee of 6 people out of 10 total employees to review the…

A: Given,total no.of employees=10

Q: From a group of 8 people, you randomly select 3 of them. What is the probability that they are the 3…

A:

Q: From a group of 12 people, you randomly select 5 of them. What is the probability that they are the…

A:

Q: Suppose a jar contains 9 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A: Givenjar contains 9 red marbles 37 blue marbles. If you reach in the jar and pull out 2 marbles at…

Q: From a group of 11 people, you randomly select 4 of them. What is the probability that they are the…

A: Given data: The numbers of total people are n=11. The numbers of oldest people are p=4. The…

Q: From a group of 11 people, you randomly select 5 of them. What is the probability that they are the…

A: group of 11 people    you select 5 out of 11   P(you select 5 oldest people in group) = ?

Q: At a local book store there are 3 comic books, 3 romance novels, 9 children's books, and 2…

A: we have a total of 17 items in the local bookstore - 3 comic books, 3 romance novels, 9 children's…

Q: Find the probability of getting a sum of 2 or 3.

A: We have given the following statement about the  rolling  of two dice.

Q: From a group of 9 people, you randomly select 2 of them. What is the probability that they are the 2…

A: Solution:

Q: Find the odds in favor of Amanda winning a ring if there 4 rings 1 camera and 4 headsets.

A: Given that there are 4 rings 1 camera and 4 headsets.   So the events in favor of winning a…

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

A: In a deck of 52 cards we have only one queen of spade and one 4 of heart. Thus, the probability of…

Q: The probability of drawing a yellow 3 triangle is If you replace the card, how many times will you…

A:

Q: Two different colored dice are rolled simultaneously. What is the probability of getting a sum of 5…

A: Two colored dice are rolled simultaneously.

Q: A spinner has 8 equally sized sections, 6 of which are gray and 2 of whlch are blue. The spinner Is…

A: To find: The probability that the first spin land on blue and second spin land on gray. Given: The…

Q: If you are dealt five cards from a standard deck of 52 cards then find the probability of getting…

A: Please see the answer in Step 2

Q: On a 6 question multiple-choice test, where each question has 2 answers, what would be the…

A: GivenEach question has 2 answersso, p=12=0.5n=6x~Binomial(n=6,p=0.5)P(X=x)=(nx)×px×(1-p)n-x    ;…

Q: In jumbled box of pens and pencils, the probability of randomly choosing a sharpened pencil is .54…

A: Given dataprobability of randomly choosing a sharpened pencil P(S) = 0.54probability of randomly…

Q: On a 5 question multiple-choice test, where each question has 4 answers, what would be the…

A:

Q: If a fair coin is tossed 7 times, what is the probability of getting all heads? Express the…

A: A fair coin is tossed. There are two possible outcomes for this event as appearing a head or tail.…

Q: Your college ID number consists of 8 digis.  Each digit can be 0 thru 9 and each digit cannot be…

A: The probability of getting your college ID number when randomly generating eight digits is 0.0000006…

Q: A die is rolled twice. What is the probability of showing a 3 on the first roll and an even number…

A: Given A die is rolled twice. then A we get 36 outcomes…

Q: On a 10 question multiple-choice test, where each question has 3 answers, what would be the…

A:

Q: On a 10 question multiple-choice test, where each question has 4 answers, what would be the…

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Q: On a 9 question multiple-choice test, where each question has 3 answers, what would be the…

A:

Q: A box contains ten cards labeled J, K, L, M, N, 0, P, Q, R, and S. One card will be randomly chosen.…

A: The number of cards in the box is 10. The label on the card is J, K, L , M, N, O, P, Q, R and S.

Q: On a 8 question multiple-choice test, where each question has 4 answers, what would be the…

A: Given dataNo of question n = 8Probability that the answer is correct (p) = ¼ = 0.25Probability that…

Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the…

A: Here we make an equation and then solve that equation.

Q: If one ball is drawn on each bag, what is the probability of getting a green ball and a yellow ball?

A: One bag contains 4 white balls, 3 green balls, and 3 yellow balls.  A second bag contains 2 white…

Q: A Bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double…

A:

Q: here each question has 4 answers, what would be the probability of getting at least one question…

A: Given: Total question (n) =7 Each question has choices = 4 Number of correct answers = 1 The…

Q: A group of four women and six men must select a five-person committee. Find the probability of…

A: GivenA group consists of No.of women = 4No.of men=6Total no.of members = 10

Q: You are going to draw 5 cards (without replacement) from a standard deck of 52 playing cards.…

A: Given: 5 cards are drawn without replacement from a standard deck of 52 playing cards. Total cards…

Q: From a group of 8 people, 4 are randomly selected. What is the probability the 4 oldest people in…

A: Given that there are 8 people and 4 are selected randomly. The number of ways for selecting 4 from 8…

Q: Suppose you have created a new playlist made up of 6 songs (2 rock, 2 hip-hop, and 2 trance). Find…

A: Given that there is a total of 6 songs. Out of the 6 songs 2 are rocks, 2 hip-hops, and 2 trances.

Q: On a 9 question multiple-choice test, where each question has 4 answers, what would be the…

A: A binomial experiment is a discrete probability experiment. To use the binomial model,…

Q: From a group of 7 people, you randomly select 5 of them. What is the probability that they are the 5…

A: There are 7 people in a group out of which randomly select 5 of them.

Q: a city council consist of eight democrats and four republicans. if a ommittee of four people is…

A: Given that there are 8 Democrats and 4 republicans There are total (8+4)=12 persons We can select…

Q: The Village League uses a best-two-out-of-three series to crown its champion. If the probability of…

A: Let us denote: A=the event that Alpha beats Team Beta  B=the event that beta beats Team alpha…

Q: In a Lotto, 6 numbers of 49 are winning numbers. You have to pick 6 numbers. What is the probability…

A: We can guess 4 winning numbers from 6 winning numbers in 6C4=15 ways There are (49-6)=43 non-winning…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.