A city council consists of five Democrats and six Republicans. If a committee of four people is selected, find the probability of selecting two Democrats and two Republicans.

Q: Of the 50 people attending a conference, 35 were male and the rest female. Two people need to be…

A: The number of people attending conference is 50. The number of males in the conference is 35. So,…

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

A:

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

A:

Q: In a box, there are 5 dimes, 2 quarters, and 3 pennies, so a total of 10 coins. If your friend Nick…

A: Solution: From the given information, there are 5 dimes, 2 quarter and 3 pennies in a box. A coin is…

Q: If 1000 tickets are sold for a raffle, find the probability of winning if an individual purchases…

A: Given: The total number of tickets sold for the raffle: 1000 tickets. a)- If an individual purchases…

Q: If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability of getting one…

A: To get the probability of getting 1 queen and three kings,Selecting 4 cards in a deck of 52 cards,In…

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

A: Here, seven Democrats and five Republicans. committee of six people is​ selected. The number of ways…

Q: Find the probability of a family having four boys in a row.

A: There are two genders for a baby either it’s a boy or a girl. So, there are a total two events –…

Q: there are 8 boys and 6 girls on a soccer team. the coach will select a captain and then select a co…

A: Given: There are 8 boys and 6 girls on a soccer team. Total members in the team: 8+6=14 Total ways…

Q: A mail-order company has a 9% success rate. If it mails advertisements to 500 people, find the…

A: Given : A mail company has a 9% success rate.     n=500p=0.09  Consider x represents the variable…

Q: If you flip a coin 3 times, what is the probability of getting two heads?

A: If you flip a coin 3 times. Using Probability formula,

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

A:

Q: Given a group of 9 men and 11 women, find the probability of selecting a committee of 4 that has…

A:

Q: In a local archery contest, the probability that Samuel will be successful on each shot is 82.5% If…

A: Let X be the random variable from binomial distribution with probability of success (p) = 82.5% =…

Q: In one town, 44% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, 44% of all voters are Democrats.  Sample size, n = 2

Q: A student takes a four-question, True or False quiz and guess at every answer. What is the…

A:

Q: The probability of selecting a four-person committee with one Democrat and three Republicans is .

A:

Q: of the 4 district congressional races for the Pennsylvania State House of Representatives, the…

A: Given that  Total number of races (n) = 4 Probability of winning (P) = 60% = 0.60 Probability of…

Q: Ashley and matt each purchase one raffle ticket. If a total of 13 raffle tickets are sold and two…

A: Given that Ashley and Matt each purchase one raffle ticket. There are total 13 raffle tickets are…

Q: If a dice is thrown twice, find the probability of getting two 5’

A:

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

A: P(an ace and a 3 being drawn)=?

Q: Brad has to select 5 students from a class of 43 girls and 21 boys. What is the probability that…

A: GivenNo.of girls in a class = 43No.of boys in a class = 21Total no. of boys = 64

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: Allie plays on the varsity basketball team and makes 79% of her free throws. If she takes 12 shots,…

A:

Q: A city council consists of 4 democrats and 7 republicans. If a committee of 6 people is selected…

A: we have to find the probability of selecting 5 democrats and 1 Republican.

Q: Find the probability of less than 2 heads.

A:

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

A: There are total (8+8)=16 number of people From 16 people a group of 4 people can be selected in 16C4…

Q: If you are dealt 44 cards from a shuffled deck of 52​ cards, find the probability of getting one…

A: Note:Hey there! Thank you for posting the question. For calculating probability, we are considering…

Q: There is a box of collections that consists of three Hip Hop collections, five classical…

A: Let X be a random variable which represents the number of dance collections when 3 collections are…

Q: Mario has 3 nickels , a dime, and 2 quarters in his pocket. What is the probability that he randomly…

A:

Q: If 30 tickets are sold and three prizes are to be awarded, find the probability that one person will…

A: Given, 30 tickets are sold And there are 3 winning prizes.

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

A: The number of ways choosing 5 people out of 10 is 10C5=252.There are 5 democrats and 5…

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: Find the probability that the committee has a) 3 women and 2 men b) 4 women and 1 men

A:

Q: Suppose you draw two coins from a bag containing 10 quarters, 8 dimes, 6 nickles, and 4 pennies.…

A: Given Total = 10+8+6+4 = 28 draw 2 coins  with replacing Find P( nickle than a penny ) =?

Q: If a family has three children, find the probability that the two of the children are girls?

A: Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: If four coins are flipped, find the probability and the odds of obtaining one head and three tails.

A:

Q: If a hockey player takes 78 shots and scores 16 goals, what would be the probability of this player…

A: Total numbers goals =16 number of trails = 78  The probability lies between 0 to 1,

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 city council consits of five Democrats and five Republicans. If a committee of six people is…

A: Basics:

Q: Find the probability of getting two queens when two cards are drawn from a pack of 52

A: Given: Number of cards in a deck=52Number of queens drawn=2Number of queens present in a deck=4

Q: Belle has 2 red shirts, 4 yellow shirts, and 6 blue shirts. If she chooses one shirt at random,…

A: Given : Belle has 2 red shirts, 4 yellow shirts, and 6 blue shirts. If she chooses one shirt at…

Q: What is the probability of winning the lottery if you have to correctly match 6 numbers from a pool…

A: In the given case, out of 25 numbers, 6 particular numbers are supposed to be obtained in order to…

Q: In the US Congress, the Senate consists of 13 women and 87 men. The President randomly selects…

A: it is given that In the US Congress, the Senate consists of 13 women and 87 men. The President…

Q: The United States Senate has 45 Republicans and 55 Democrats. If we need to make a committee of 10…

A: Number of Republicans = 45 Number of Democrats = 55 Number of people in a committee = 10

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

A:

Q: If you are dealt 3 cards from a shuffled deck of 52​ cards, find the probability of getting one…

A: The number of ways choosing 3 out of 52 cards is 52C3.There are 4 queens and 4 kings in the 52 cards…

Q: Find the probability of getting 2 diamonds, if we draw 2 cards at random from a pack of 52 cards.

A:

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 2 jacks; (b) 1 heart and…

A: Since , there are 52 cards. We have , the poker hand consist of 5 cards. The total number of ways of…

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.