Officers The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 14 candidates. Six of the candidates are members of the debate team. Round to the nearest thousandth. (a) What is the probability that all of the offices are filled by members of the debate team? (b) What is the probability that none of the offices are filled by members of the debate team?

Q: In a survey of 131 people 115 expressed support for the governor. Find p hat and a hat where p hat…

A: Given data, n=131 x=115 p=?

Q: Sixty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers.…

A: Let the R.V X denotes the number of consumers prefer to purchase electronics online  and it follows…

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A: The objective of this question is to find the probability of the complement of event A, where event…

Q: One student is to be selected at random from a group of 7 freshmen, 5 sophomores, 8 juniors, and 3…

A: 7 freshmen, 5 sophomores, 8 juniors, and 3 seniors  Total=23

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: 52% of dogs enjoy biting the mailman.  Select 5 random dogs.  Find the probability at least 1 enjoys…

A:

Q: There are thirteen female board members and seventeen male board members. How many ways are there…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: There were 12 pink, 7 purple and 9 yellow flowers in a vase. You randomly choose a flower from the…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: Two socks are chosen. Given 5 Red, 4 Blue, and 6 Green socks. What is the probability of picking a…

A:

Q: Use the formula for the probability of the complement of an event.Two dice are tossed. What is the…

A: Given 2 dices are tossed, No of outcomes when 1 dice is tossed =6 No of outcomes when 2 dice are…

Q: Number plates in an Arab country consist of 3 letters (chosen from a specified set of 20 letters…

A:

Q: A bag contains 1 gold marbles, 6 silver marbles, and 30 black marbles.

A: Given: A bag contains 1 gold marbles, 6 silver marbles, and 30 black marbles.

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: A group of people were asked if life exists elsewhere in the galaxy. 270 responded "yes", and 478…

A:

Q: Tina draws a card at random from a deck of cards numbered from 1 to 30. What is the probability of…

A: The total number of cards is 30. The numbers divisible by 5 are 5,10,15,20,25 and 30. That is,…

Q: Three cards are randomly selected from the deck of 52 cards. What is the probability that the cards…

A: Given data: Three cards are randomly selected from the deck of 52 cards. To find : What is the…

Q: A single card is drawn at random from a deck of playing cards. Find the probability the card is an…

A: A single card is drawn at random from a deck of playing cards.

Q: You carry seven keys in your pocket, two of which are for the two locks on your front door. You lose…

A: When we are working on probability, we are talking about uncertainty. When a coin is tossed, we do…

Q: A population contains 10,000 crickets. Out of the population, 4000 are females and 6000 are males.…

A: A population contains 10,000 crickets. Out of the population, 4000 are females and 6000 are…

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 3 jacks; (b) 3 clubs and…

A: Given that ,In a poker hand consisting of 5 cards .We have to find the probability of holding(a) 3…

Q: In a class there are 18 boys and 12 girls. One child is chosen at random to represent the class.…

A: Answer: The number of boys in a class is 18 and the number of girls in a class is 12. Total number…

Q: There is a lottery drawing every Wednesday from the school store. You have to choose 5 numbers from…

A:

Q: A bag contains 2 gold marbles, 10 silver marbles, and 26 black marbles. You randomly select one…

A: Given data, No of gold marbles=2 No of silver marbles=10 No of black marbles=26 Total no of…

Q: There are ten female board members and twenty male board members. How many ways are there to make a…

A: Ways to make a committee of ten board members =  30C10=30!20!×10!=30045015

Q: A bag contains 1 gold marbles, 6 silver marbles, and 30 black marbles. You randomly select one…

A:

Q: family has three children. Find the probability the family has at most 1 boy.

A:

Q: A population contains 10,000 crickets. Out of the population, 4000 are females and 6000 are males.…

A: A population contains 10,000 crickets. Out of the population, 4000 are females and 6000 are…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given: Bag contains 4 red marbles, 2 green ones, 5 white ones, and 3 purples once and she grabs 8 of…

Q: An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number…

A: Given: An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown…

Q: A box contains Seven marbles. Three of them are red and Four are blue. What is the probability of…

A: A box contains Seven marbles. Three of them are red and Four are blue. P(Blue) =4/7 P(Red) =3/7

Q: You select 3 cards from a deck of 52 cards (without replacement). What is the probability that you…

A: select 3 cards from standard deck of 52 cards without replacement P(atleast one ace) = ?

Q: Answer: A three-person committee is chosen at random from a group of 9 women and 7 men. Find the…

A:

Q: On the last day of a Shakespeare class, an English teacher asked her students which play they liked…

A: Note:Hi there! Thank you for posting the question. To avoid plagiarism issues, we have used the…

Q: There are 36 women and 34 men at Mr. Stover’s family reunion. They are drawing names to determine…

A: