A choir has seven sopranos, six altos, three tenors, and four basses. The sopranos and altos are women and the tenors and basses are men. At a particular rehearsal, three members are chosen at random to make the tea.
a) Find the probability that exactly one bass is chosen,
b) Find the conditional probability that two women are chosen, given that exactly one bass is chosen.
c) Find the probability that the chosen group contains exactly one tenor or exactly one bass (or both).
A choir has seven sopranos, six altos, three tenors, and four basses. The sopranos and altos...
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...
A committee of four is chosen at random from a group of 7 women and 5 men. Find the probability that the committee contains at least one man.
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
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.
(1 pt) A three-person committee is chosen at random from a group of 9 women and 5 men. Find the probability that the committee contains at least one man. Answer
A group consists of six men and six women. Four people are selected to attend a conference. a. In how many ways can four people be selected from this group of twelve ? b. In how many ways can four women be selected from the six women? c. Find the probability that the selected group will consist of all women? Thank You please show work
Forty-three percent of the students in the Izmir University of Economics are females. Seven percent of the students in this university are majoring in math department. Four percent of the students are women majoring in math department. If a student is selected at random, (a) the conditional probability that this student is female, given that the student is majoring in math department is ? (b) the conditional probability that this student is majoring in math department, given that the student...
Can you help me solve these: 6. From 10 mathematics students, four are chosen to represent a math symposium. In how many ways can this be done with no restrictions? A) 210 B) 120 C) 200 D) 126 E) 160 7. From a group of 10 boys and 8 girls, 6 students are chosen at random. How many of these selections consist of exactly four girls? A) 18564 B) 3150 C) 115 D) 225 E) 18500 8. From 14 mathematics...
There are seven boys and three girls on a team. The coach must select four people from this group to participate in the championship. a. How many four-persons teams can be formed from the group of ten students? b. In how many ways can four boys be chosen to participate in the championship? c. What is the probability that four boys are chosen for the team? d. In how many ways can three boys and one girl be chosen to...
please answer question number 10 10. (Ch. 7) Sixty men out of 1,000 and three women out of 1,000 are color blind. A person is picked at random from a group containing 10 men and 10 women. (a) What is the probability that the person is color blind? (b) What is the probability that the person is a men if the chosen person is color blind? (c) Are gender and being color blind independent? 11. (Ch. 7) Suppose that two...