A committee is to consist of a chair, two hagglers, and six do-nothings. The committee is formed by choosing randomly from a pool of 11 people and assigning them to the various "jobs."   (c) Norman's girlfriend Norma is less ambitious and would be happy to hold any position on the committee provided that Norman is also selected as a committee member. What is the probability that she will get her wish and serve on the committee? (Round your answer to two decimal places.)   (d) Norma does not get along with Oona (who is also in the pool of prospective members) and would be most unhappy if Oona were to chair the committee. Find the probability that all Norma's wishes will be fulfilled: She and Norman are on the committee, and it is not chaired by Oona. (Round your answer to two decimal places.)

. Assume that 75 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 80 percent plan to major in science. Of those without 4 years, only 10 percent plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that this student had four years of high school math?

At a local​ college, four sections of economics are taught during the day and two sections are taught at night. 65 percent of the day sections are taught by​ full-time faculty. 15percent of the evening sections are taught by​ full-time faculty. If Jane has a​ part-time teacher for her economics​ course, what is the probability that she is taking a night​ class? The probability that she is taking a night class is nothing. ​(Type an integer or a​ fraction.)

On a single draw from a deck of 52 playing cards, what is the probability of getting: Multiple choices will be in this order: a. A spade b. a spade or a diamond c. An 8 or a red card d. Jack or a red card

Jina has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. This game is this: Jina chooses one ball from the bag at random. She wins $1 if the number 1 is selected, $2 if the number 2 is selected, S3 if the number 3 is selected, S4 if the number 4 is selected, and $5 if the number 5 is selected. She loses $5 if 6, 7, or 8 is selected. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Jina expect in the long run, after playing the game many times? (She replaces the ball in the bag each time.) O Jina can expect to gain money. She can expect to win | dollars per selection. O Jina can expect to lose money. She can expect to lose dollars per selection. O Jina can expect to break even (neither gain nor lose money).

Consider the following table and answer the questions. Write your answers as fractions. Major Biology Business Engineering Mathematics Computer science Female 34 40 40 31 28 Male 41 36 34 25 38 a. What is the probability that a randomly selected person is a female? b. What is the probability that a randomly selected person is a male whose major is Mathematics? c. If a woman is randomly selected what is the probability that she is studying business? d. If a group of 6 students is selected at random what is the probability that it has 4 females and 2 males?

The three stooges (Larry, moe and Curley) and the four max brothers (Chico, harpo, Groucho and Zeppo) are randomly assigned a place in line. What is the probability the first three in line will be moe, Larry and curly in that order?