A committee of three people is selected at random from a set consisting of five teachers, three parents of students, and four alumni.  1)Find probability the commitee consists of all teachers. 2)Find probability the commitee has no teachers.

Q: A bag contains 9 Cherry Starbursts and 21 other flavored Starburts. 12 Starbursts are chosen…

A:

Q: A 4 member committee is formed from 8 teachers and 6 students. Find the probability that the…

A: Given,no.of teachers=8no.of students=6Total no.of members=14 and Cr=n!(n-r)!×r!n

Q: A bag contains 3 white, 4 black and 5 red balls. Three balls are dra random one after another…

A:

Q: A club must choose 5 people to represent them at the National convention. The people will be chosen…

A: Given information- We have given a club that has to choose 5 members out of 32 club members. We use…

Q: In a game if the player wins, a random gift will be given. There are 3 types [Watch, Voucher, Pen…

A: a) Probability that both winners get a voucher:•  Total number of gifts: (7) vouchers + (6) watches…

Q: There are 40 chocolates in a box, all identical shapes. There 16 are filled with nuts, 14 with…

A:

Q: Assume that 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with…

A: 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with replacement We have…

Q: In a class with 50 students, 25 students constantly have their lunch in the cafeteria and 10…

A: Consider A denotes having lunch in the cafeteria and B denotes having lunch in the canteen.

Q: 1. Applicants for the presidency of the APIEMS job consists of 10 Filipinos, 8 Australians, 12…

A: Probability = Number of favourable outcome/Total number of outcomes

Q: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Given problem Given that   Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach…

Q: In a box there are 12 male and 6 female piglets. If 6 piglets are chosen at random, what is the…

A:

Q: A contains 4 white and 6 black balls, while Bin B – 5 white and 3 black balls. A ball is picked up…

A: Probability:   The ratio of the number of favorable outcomes to certain event and total number of…

Q: A group of 90 students is to be split at random into 3 classes of equal size. All partitions are…

A: Given : Total 90 students.

Q: A box contains 5 white, 6 blue and 3 green balls. If four balls are selected random. Find the…

A: Given: box contains 5 white, 6 blue and 3 green balls. Total balls in box=5 + 6 + 3 = 14 balls

Q: probability of attracting an equal number of white, blue, red and black balls

A: Here given, bag contains 8 white, 6 blue, 9 red and 7 black balls. 8 Balls are randomly selected…

Q: At a local company, 36 people apply for a job posting. The 36 people consist of 20 men and 16 women.…

A: Solution: It is given that there are 36 people who apply for a job posting at a local company. There…

Q: Ana and Bianca are pals who work on a 20-person team. Their manager will pick two persons at random…

A:

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 deck consist of 3 Jacks, 3 Queens and 3 Kings of different suit. What is the probability of…

A: Given Information: No. of jacks=03No. of Queens=03No. of Kings=03Total cards=09

Q: There are 3 boxes. 1st box contains 2 white and 1 black, 2nd – 3 white and 1 black, 3rd – box 2…

A: The tree diagram corresponding to the distribution is shown below.

Q: contains 40 apples; there are 3 types of apples in the bin, 20 are Macintosh, 12 are Gala and 8 are…

A: Given :  total no of apples =40  no of Macintosh=20  no of Fuji=8  no of gala =12  Select 2 apples…

Q: An urn contains 4 red, 4 black, 6 blue and 2 green balls. If five balls are randomly selected from…

A: Given,no.of red balls=4no.of black balls=4no.of blue balls=6no.of green balls=2total no.of balls=16

Q: B is fo

A: The three subsets are given which are A ,B and C. It is given that B is four times as likely as A.…

Q: Suppose a jar contains 6 blue, 3 green, and 2 red marbles. What is the probability of randomly…

A: total number of marbles in jar = 6+3+2 =1111 marbles = 6 blue + 3 green + 2 redselecting randomly 3…

Q: A bag contains 4 Yellow cards, 5 Green cards and 6 Blue cards. Select at random 3 cards at the same…

A: There are 4 yellow cards.The are 5 green cards.There are 6 blue cards.

Q: ) A bridge hand is made up of 13 cards from a deck of 52. Find the probability of a hand with 6 of…

A: select 13 cards from 52 card deck.  P(six cards of one suit,4 of another suit and 3 of another suit)…

Q: A four digit number is formed using the digits 1, 2, 3, 5 with no repetitions. Write the probability…

A:

Q: At a conference gathering, there are 5 math instructors, 2 computer science instructors, 8…

A:

Q: A comment of 2 people is to be chosen from 8 women and 6 men. What is the probability at least one…

A: Given Data: The number of people required in the community is: N=2  people The number of women…

Q: A college has 6 Male professors, 15 female professors, 6 Male teaching assistants, 15 female…

A:

Q: A bag contains 6 Cherry Starbursts and 24 other flavored Starburts. 11 Starbursts are chosen…

A:

Q: If N persons are seated at a round table find the probability that two named persons are neighbours…

A: Here Given  N persons seated at a round table.

Q: A jar contains 12 marbles: four red, five blue, and three orange. If you pull three marbles without…

A: A jar contains total marbles =12the total red marbles in jar =4the total blue marbles in jar =5the…

Q: We have an urn with 5 red balls, 7 green balls and 4 white balls. Assume the probability of each…

A: We have an urn with 5 red balls, 7 green balls, and 4 white balls. Assume the probability of each…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.