An undergraduate class has 24 biology majors and 17 chemistry majors. Eight students must be chosen at random to represent an event organizing committee. What is the probability of choosing exactly four chemistry majors?

Q: There are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. Whatis the probability of…

A: Given data: The given numbers of blue marbles are b=6. The given numbers of red marbles are r=3. The…

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

A:

Q: A basket contains 6 white socks , 4 blue socks, and 2 black socks. What is the probability of…

A:

Q: a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks and 2…

A:

Q: A box contains 3 black spheres and 4 white spheres. What is the probability of selecting exactly 2…

A: Total number of spheres = 7Total number of black spheres =3Total number of white spheres=4Total…

Q: A bag contains 66 whitewhite marbles, 77 greengreen marbles, 44 blackblack marbles. If one marble is…

A: There are total (66+77+44)=187 marbles in the bag.We can draw the first marble in 187 ways, then the…

Q: If you know the names of the remaining 10 students in the spelling bee, what is the probability of…

A: You have 10 choices for the first student * 9 choices for the 2nd student * 8 choices for the 3rd…

Q: In a poker hand consisting of 5 cards, what is the probability of holding 2 aces and 2 kings?

A: In a poker there are total of 52 cards , out of 52 cards a person gets 5 cards.  The number of ways…

Q: Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks…

A:

Q: In a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the business majors…

A: It is given that in a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the…

Q: Vincent Rylee will select two cards randomly from a standard deck of 52 cards. What is the…

A: In a standard deck of 52 cards. There are 12 face cards (kings, queens, and jacks).  We want to find…

Q: Please in details, asap ; There are 11 sophomores, 13 juniors, and 10 seniors in a class. If three…

A: Given, There are 11 sophomores, 13 juniors, and 10 seniors in a class. Total number of students in…

Q: When 5 cards are dealt from a standard deck of 52 cards, what is the probability of getting 2 aces…

A:

Q: A bag contains 77 greengreen marbles, 1010 blackblack marbles, and 55 whitewhite marbles. If two…

A: Given: 7 green marbles 10 black marbles 5 white marbles

Q: If an urn has 10 white balls and 5 red balls, what is the probability that 4 randomly selected balls…

A: Hypergeometric distribution is given by

Q: What is the probability of getting three queens if you are to draw three cards in a standard deck?

A: We know that standard deck of cards contains 52 cards Out of those 52 cards, 4 are queen cards…

Q: The biology faculty at a college consists of 7 professors, 14 associate professors, 10 assistant…

A: This question can be solved using the concept of P(A U B)

Q: A city council consists of ten members. Four are democrats and six are Republicans. A committee of…

A:

Q: 1. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario…

A:

Q: class consists of 33 women and 21 men. If a student is randomly selected, What is the probability…

A: Given data, class consists of 33 women 21 men Total strength in class=21+33=54 P(Student is woman)=?…

Q: A box contains 3 black spheres and 4 white spheres. What is the probability of selecting exactly 3…

A: We have given that.  A box contains 3 black spheres and 4 white spheres.  And we have to find.  What…

Q: In a library box, are 8 novels, 8 biographies, and 8 war history books. If Jack selects two books at…

A:

Q: A wooden box contains 17 red cubes, 20 blue cubes, 34 yellow cubes and 41 green cubes, what is the…

A: given,no.of red cubes=17no.of blue cubes=20no.of yellow cubes=34no.of green cubes=41total no.of…

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

A: The probability is the chance of an occurrence of an event. Given that, the names of three students…

Q: What would the probability of selecting all 5 cards to be a Diamond or a Club

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: A company has 9 women and 8 men. What is the probability that a 7 person committee will have 4 men…

A:

Q: A bag contains fibe green marbles,3 red marbles,and 4 white balls.What is the probability that a red…

A: Given, A bag contains 5 green balls,3 red balls, and 4 white balls To find the probability that a…

Q: If your playlist has 7 rap songs, 8 hip hop songs, and 3 folk songs on it and you select one song at…

A: You have posted multiple questions. As per the instruction, we will be answering only one question.…

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: A spinner can land on either red, blue, or green. In a standard deck of 52 playing cards, there are…

A:

Q: A bowl contains 8 Nips®, 3 blue, 1 yellow, 1 red, 1 green, and 2 black. If a child picks one Nips at…

A:

Q: A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected…

A: Given data, Red marbles=4 Blue marbles=3 Green marbles=7 Total no of marbles=14 P(Marble is blue)=?

Q: If two dice are rolled one time, what is the probability of getting: A sum of 11 or 4

A: Probability: probability is a mathematical tool used to study randomness. It deals with the chance…

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

A: Basics:

Q: The composition of the Senate of the 111th Congress was: 41 Republicans, 2 Independents, and 57…

A: There are 41 Republicans, 2 Independents, and 57 Democrats.  Total number of senators is 41+2+57…

Q: closet contains 8 pair of shoes. If 4 shoes are randomly selected, what is the probability that…

A: Here use combination for ans the question

Q: A bag contains 6 red​ marbles, 2 blue​ marbles, and 1 green marble. What is the probability of…

A:

Q: What is the probability of choosing a green marble from a bag filled with 17 blue marbles, 12 red…

A:

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a jack…

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The…

Q: In Sipadan, Malaysia, there is a national park where up to 100 dolphins can be found. Suppose we…

A: The total number of dolphins in the park is 100. a. Since the number of female dolphins is 10. The…

Q: If Brian gets 7 random cards from a standard deck of card, what is the probability that he will get…

A:

Q: A fish pond at a carnival contains 135 gold fish, 88 Cory cats, 47 tetras, and 180 angelfish. If…

A: It is given that, A fish pond at a carnival contains 135 gold fish, 88 Cory cats, 47 tetras, and 180…

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

A:

Q: The mathematics faculty at a college consists of 7 ​professors,11associate​ professors, 4 assistant​…

A: Probability: Probability of an event is the number of outcomes favourable to the event, divided by…

Q: A fish pond at a carnival contains 72 angelfish​, 105 goldfish​, 39 tetras​, and 144 cory cats. If…

A:

Q: 6.  In a pet store, there are 6 puppies, 9 kittens, 4 gerbils, and 7 parakeets. If a pet is chosen…

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

Q: A batch of parts contains 80 parts from batangas supplier of engine and 120 parts from a supplier of…

A: Given Information: A batch of parts contains 80 parts from batangas supplier of engine and 120 parts…

Q: If a number is chosen from a set of three-digit numbers, what is the probability that the number is…

A: 3 digit numbers are ranging from 100 to 999

Q: If a fiancial services committee had 60 members, of which 10 were women, if 8 members are selected…

A: From the given information,   Total members = 60 Number of women = 10 Number of men = 60 -10 = 50

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.