In a group of 12 international referees, there are three from Africa,four from Asia and five from Europe. To officiate at a tournament, three referees are chosen at random from the group. Find the probability that: i) A referee is chosen from each Continent. ii) Two referees are chosen from Asia. iii) All the three referees are chosen from the same Continent.

Q: A jury pool consist of 27 people, 14 men, and 13 women. Compute the probability that a randomly…

A: Given data, Jury pool consists of 27 people. Men= 14 Women= 13   P(12 male)=?

Q: If three cards are randomly selected in a deck of 52 cards, what is the probability of selecting the…

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Q: In a group of 12 international referees, there are 3 from Africa, 4 from Asia and 5 from Europe. To…

A: From the given information, there are 3 referees from Africa, 4 from Asia and 5 from Europe.   There…

Q: Find the probability of drawing 3 aces at random from a deck of 52 ordinary cards if the cards are…

A: Given information is Total Number of cards in a deck = 52  No of Ace cards in a deck = 4   Now we…

Q: A school has 12 good runners of which 5 are girls. If four are chosen at random to represent the…

A: Given that a school has 12 good runners of which 5 are girls.  So (12-5)=7 are boys   We can select…

Q: 2. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: Part (a) Out of total 9 books, three books can be selected in 9C3 ways. Calculate the probability…

Q: A bag contains 5 red marbles and 4 white marbles. A marble is selected from the bag then replaced,…

A: From the provided information, Red marbles = 5 White marbles = 4 Total marbles in a bag = 5 + 4 = 9…

Q: Of the employees at a store, 15% are nightshift workers, 50% are cashiers, and the rest are…

A: Given , P(Nightshift) = 0.15 P(Cashiers)=0.5 P(Stockers) = 1-(0.15+0.5) = 0.35 P(Male | Nightshift)…

Q: in the happy hilltop health home, 10% of the sesidents play shuffleboard, 35% of the residents play…

A: Let A be the event such that the residents play shuffleboard, B be the event such that residents…

Q: The mathematics faculty at a certain college consists of 10 full professors, 6 associate professors,…

A: From the given information, thee are  10 full professors 6 associate professors 12 assistant…

Q: A committee of four members is to be randomly formed from 8 technicians, 4 engineers, and 3…

A: Given, n(technicians) = 8 n(engineers) = 4 n(mathematics) = 3 Total  = 8+4+3  = 15 a) P(The…

Q: what is the probability that one or more of the selected companies are located in the said global…

A: Suppose 18 major computer companies operate in the Philippines and that 12 are located in Bonifacio…

Q: 4. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: Given,No. of novels=5No. of books of poems=3No. of dictionary=1Total no. of books=9

Q: A jury pool consists of 31 people, 15 men and 16 women. Compute the probability that a randomly…

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Q: Consider a collection of envelopes consisting of 1 red envelope,3 blue envelopes,3 green envelopes,…

A: Given that a collection of envelopes consisting of 1 red envelope,3 blue envelopes,3 green…

Q: Consider a collection of envelopes consisting of 1 red, 1 blue, 1 green and 3 yellow envelopes. If 3…

A: Given that the envelopes consisting of 1 red, 1 blue, 1 green and 3 yellow envelopes. The total…

Q: Of the cartons produced by a​ company, 10​% have a​ puncture, 8​% have a smashed​ corner, and 1.3​%…

A:

Q: engineering company has four openings, and the applicant pools consists of 6 database administrators…

A:

Q: On a track and field team, 8% of the members run only long-distance, 32% compete only in field…

A:

Q: A batch of parts contains 80 parts from Batangas and 120 parts from a supplier of engine in Bulacan.…

A: The total number of parts are 200 Let Event B: The part is from Batangas and event C the part is…

Q: An urn has 21 balls that are identical except that 8 are white, 8 are red, and 5 are blue. What is…

A: Given that ; An urn has 21 balls.  Total balls (n) = 21 White balls (w) = 8 Red balls (R) = 8 Blue…

Q: An engineering company has four openings and the applicant pools consists of 6 database…

A: Given An engineering company has openings and the applicant pools consists of 6 database…

Q: On a hospital staff, there are 4 dermatologists, 7 surgeons, 5 general practitioners,3…

A:

Q: A conference is attended by 10 social workers and 4 auditors. If four different participants are…

A: In the given problem we have given that, a conference is attended by 10 social workers and 4…

Q: Nine new employees, two of whom are married to each other, are to be assigned nine desks that are…

A: There are total 9 employees. We can arrange them in 1 row in 9!=362880 ways If the couple have…

Q: Assume that a particular professional baseball team has 10 ​pitchers, 5 ​infielders, and 10 other…

A: TO work out the required probability , using counting principles

Q: Of the entering class at a college, 75% attended public high school, 16% attended private high…

A: The following information has been given: Let A be the event that student is in the Dean's list. Let…

Q: A jury of 6 members is to be selected from a panel consisting of 8 men and 8 women. a. How many…

A: Given :Number of man = 8 Number of females = 8 Total number of members = 8+8=16 We want to choose…

Q: Of 9 available candidates for membership in a university committee, 5 are 4) (4 men and 4 are women.…

A:

Q: Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in…

A: We have given that 8 cards, of which 4 are Red, 2 are Green and 2 are Blue, are placed at random in…

Q: A homeowner selects six plans selected at random from a set of proposals drawn by his hired…

A:

Q: From a sack of fruit containing 10 oranges, 4 apples, and 6 bananas, a random sample of 8 pieces of…

A:

Q: Assume that 6 women and 8 men work in a department at a Targe company, a committee of 5 people from…

A: We have to find the probability based on combination

Q: Find the probability of a 4 turning up at least once in two tosses of a fair die.

A: The probability outcomes of two tosses of a fair die is 1st toss  = 1, 2, 3, 4, 5, 6 2nd toss = 1,…

Q: selected

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Q: In a club with 8 male and 15 female​ members, a 5​-member committee will be randomly chosen. Find…

A: Given  In a club  Number of males = 8 Number of females = 15 Total members= 23

Q: Consider a collection of envelopes consisting of one red envelope, three blue envelopes, two green…

A: We have given that a collection of envelopes consisting of one red envelope, three blue envelopes,…

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: From the provided information, Total books in a shelf = 5 + 3 + 1 = 9 If three books are picked at…

Q: consider a political discussion group of 6 democrats, 5 republicans, and 3 independents.  If two…

A: Given that  consider a political discussion group of 6 democrats, 5 republicans, and 3 independents.…

Q: On the weekend 14 friends get together to play a football game with seven players per side. If in…

A:

Q: Of the cartons produced by a company, 10% have a puncture, 5% have a smashed corner, and 0.9% have…

A: It is given that P(puncture) = 0.10 P(smashed corner) = 0.05 P(puncture and smashed corner) = 0.009

Q: A woman has eight pair of gloves, each pair having a different color. If four gloves are randomly…

A: (a) The probability of selecting no complete pair if show means selecting one glow a pair four…

Q: Of seven coastal lighthouses in the same area, three are designed by a certain well-known architect.…

A: Probability The term "probability" refers to the possibility of something happening. Researchers can…

Q: An engineering company has four openings and the applicant pool consists of 6 database…

A: Hey, since there are multiple subparts posted, we will answer the first three subparts. If you want…

Q: Of the 28 restaurants in an area, 4 serve one type of cuisine, 9 serve two different types of…

A: We have to find given probability.

Q: 8. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35…

A:

Q: An urn contains 6 white and 9 black balls. If 4 balls are to be randomly selected without…

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Q: and 7 fed Dals, the second urn has 2 blue balls and 8 red balls, and the third urn has 5 blue balls…

A: Answer: If we draw a red from the first urn then it is sure that we will draw at least 2 balls…

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems and a dictionary,…

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.