A group of seven people, including Mr. and Mrs.Jones,are random in a row of seven chairs. Find the probability that Mr. and Mrs. Jones are seated side by side
There are C(7,2)=21 pairs of seats, and Mr. and Mrs.Jones are equally likely to occupy any one of those 21 pairs of seats. Six of the 21 pairs are adjacent, so the probability that they will occupy adjacent seats is 6/21=0.2857.
A group of seven people, including Mr. and Mrs.Jones,are random in a row of seven chairs....
A row has 12 chairs. Seven people arrive and they have to choose 7 chairs to sit. In how many ways can these people be seated? a. 792 b. 3,991,680 Oc, 84 d.5040 e. 479,001,600 A company has 9 engineers. The company has a major project that has been divided into 3 subprojects. Three engineers are assigned to each subproject. In how many ways can this be done? Oa. 243 b. 1680 C.13440 o d. 648 e. 1120
a.) Suppose that n people are seated in a random manner in a row of n theater seats. What is the probability that two particular people A and B will be seated next to each other? The answer to the question is 2/n, but I'm not sure how to do the process. My teacher said that it was the # of favorable outcomes/ total number of outcomes, which was 2* (n-1)! / n!, which simplifies to 2/n. Is this process...
Two people are selected at random from a group of seven women and nine men. Find the probability of the following. (See Example 9. Round your answers to three decimal places.) (a) both are men or both are women (b) at least one is a woman
. A political discussion group consists of four Democrats and seven Republicans. Three people are selected (at random) to attend a conference. a. In how many ways can three people be selected from this group of eleven? b. In how many ways can three Republicans be selected from the seven Republicans? c. Find the probability that the selected group will consist of all Republicans.
Probability
13. Four men and three women are to be seated in a seven-chair row. Find the probability for each arrangement if a. the women will sit together b. the men and women will sit alternately. c. a man will sit in the first seat. d. the men will sit together.
We are playing a game of blindfolded musical chairs with 20 blindfolded people and 40 chairs. When the music stops each person picks a chair uniformly at random and sits on it. I. What is the probability that some chair has at least two people sitting on it? II. What is the probability that some chair has at least three people sitting on it?.
Twenty people apply for seven jobs that are available at Fly-By-Night Aircraft Manufacturing Co. a. In how many different ways could such a group of seven people be composed?b. Twelve of the applicants are men and the rest are women. How many of these seven-person groups have exactly three men? C. How many of these seven-person groups have exactly three men or exactly three women? d. What is the probability that a group of seven selected at random will have exactly three men or...
3). In how many ways can 6 students be seated in a row of 6 chairs if Jack insists on sitting in the first chair? 4). A president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how many ways could the three officers can be chosen? 5). In how many ways can 7 books be chosen from a group of nine? 9). Suppose that a department contain 13 men and 15 women....
In a group of 20 people there are three brothers. The group is separated at random into two groups of 10. What is the probability that the brothers are in the same group?
A group of 11 people arrived at a motel where ten rooms are available in a row. You are looking to stay "in a row" with three friends (so, 4 of you in total), while seven other people can be allocated however. One room is given to exactly one person a) how large is the sample space? b) What is the probability that the 4 friends sit next to each other? c) What is the probability that at least three...