Eight individuals are candidates for positions of president, vice president, and treasurer of an organization. how many possibilities of selections exist?

PTS: 1 TOP: Probability Concepts 52. In a horse race, nine horses are running. Assume you have purchased a Trifecta ticket. (In Trifecta, the player selects three horses as first, second, and third place winners. To win, those three horses must finish the race in the precise order the player has selected.) How many possibilities of a Trifecta exist? 53. An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were female. Furthermore, his records show that 35% of the females who visited his dealership purchased an automobile, while 20% of the males who visited his dealership purchased an automobile. Let A 1 = the event that the customer is female A 2 = the event that the customer is male a. What is the probability that a customer entering the showroom will buy an automobile? b. A car salesperson has just informed us that he sold a car to a customer. What is the probability that the customer was female?

SOLUTION: 5. Ten individuals are candidates for positions of president, vice president of an organization. How many possibilities of selections exist? ___________ ___________ SOLUTION: 5. Ten individuals are candidates for positions of president, vice president of an organization. How many possibilities of selections exist? ___________ ___________ You can There are 10 people to choose from for the first slot, 9 for the second, and 8 for the third. So there are 10*9*8 = 720 different possibilities. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at Also, please consider visiting my website: Jim --------------------------------------------------------------------------------------------------------------

No. You're using the combination formula. That's incorrect because order DOES matter here; it's a permutation problem. There's a difference between Marsha, Sabita, Robert and Robert, Marsha, Sabita because the order is associated with the role. You can order the roles in whatever way you want (VP, Secretary, President), but the order that you pick has an impact. If the question was, "There are 9 candidates for 3 board positions. What's the probability that Marsha, Sabita and Robert will be on the board," then you would be right because order wouldn't matter then. Im not sure where this falls in probability. But I have been trying to figure out how to set this problem up to solve it. Can you please help?? The question is "If the probability of surviving a Head on car crash at 55 MPH id 0.056, then what is the probability of not surviving."How do I set this up to solve it I am so confused? I think both of them are the same. Conditional probability is the one in which outcome of the second event depends upon the outcome of the first event. Take for an example, we have two events A and B. If we have performed the event A ( taking sample space A union B).Now its the turn for B to happen, then we will be considering sample space of A to find the probability of B( i.e.Probability of B in A). I do understand how to solve this question using combinations, but I don't get why this method doesn't work. "There are 7 students in the class with 2 boys and 5 girls. If 4 of them were pick...

Records of a company show that 15% of the employees have only a high school diploma (H), 75% have bachelor degrees (B), and 10% have graduate degrees (G). Of those with only a high school diploma, 12% hold management positions; whereas, of those having bachelor degrees, 58% hold management positions. Finally, 82% of the employees who have graduate degrees hold management positions a. What is the probability that a respondent owns a Mac computer? b. Given that a respondent owns a PC, what is the probability that the respondent also owns a Mac? c. Are events "P" and "M" mutually exclusive? Why or why not? Explain using probabilities. d. Are the two events "P" and "M" independent? Explain, using probabilities. An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were female. Furthermore, his records show that 35% of the females who visited his dealership purchased an automobile, while 20% of the males who visited his dealership purchased an automobile. Let A1 = the event that the customer is female A2 = the event that In a horse race, nine horses are running. Assume you have purchased a Trifecta ticket. (In Trifecta, the player selects three horses as first, second, and third place winners. To win, those three horses must finish the race in the precise order the player has selected.) How many possibilities of a Trifecta exist? Records of a company show that 15% of the employees have only a high...

In this problem, it is said that 8 individuals are candidates for positions of president vice president and treasurer of an organization. We need to determine how many possibilities of selections exist so know that there is the position of president and then vice president and then treasurer. Now there are a total of 8 individuals who are candidates for these positions. So there are a total of 8 options to choose from when selecting the president. Now the vice president can be any 1 of the 8 candidates, except for the person who has already been selected as president. So there are a total of 8 minus 1 that is 7 options…