A group of women and men line up for a photograph. Find the probability that at...
A group of women and men line up for a photograph. Find the probability that at least two people of the same gender are adjacent if there are (a) 5 men and 4 women; (b) 4 men and 4 women.
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A group of women and men line up for a photograph. Find the
probability that at...
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are...
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are 3 identical armadillos (as you may know, armadillos are born in litters in which each infant armadillo has identical DNA). These 3 armadillos are completely indistinguishable from each other (a) How many ways can the 8 humans and 3 armadillos be lined up for the photo? (b) How many ways can they all line...
Two people are selected at random from a group of seven women and nine men. Find...
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
Problem 2 a) In how many ways can 6 women and 5 men line up so...
Problem 2 a) In how many ways can 6 women and 5 men line up so that no two men are next to one another? b) In how many ways can 7 different pairs of twins line up so that twins must be next to one another? c) In how many ways can 7 women and 10 men sit at a circular table so that no two women are sitting side by side? d) How many strings of length 5...
Three people are selected at random from a group of 20 men and 25 women, to...
Three people are selected at random from a group of 20 men and 25 women, to participate in an exercise study. Find the probability that exactly two of them are men. (a) 0.3347 (b) .3112 (c) .1116 (d) .2109 (e) .3292
Six men and six women stand in a line. What is the probability that the men...
Six men and six women stand in a line. What is the probability that the men and women will be alternating?
The sales force of a business consists of 10 men and 10 women.
The sales force of a business consists of 10 men and 10 women. A production unit of 5 people is set up at random a. What is the probability that it will consist of 3 men and 2 women? b. What is the probability that it will consist of all men? c. What is the probability that it will consist of at least one woman.
A group consists of six men and six women. Four people are selected to attend a...
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
Problem 3 A group of n couples composed of n men and n women enter a...
Problem 3 A group of n couples composed of n men and n women enter a restaurant and sit randomly at n tables, two on each. i. Find the expected number of tables occupied by two people of different gender. ii. Find the expected number of tables occupied by couples. iii. If the n women enter the restuarant first and each sits at a separate table and then the men enter and sit randomly at the n tables. Find the...
A committee of 6 people is to be chosen from a group consisting of 7 men...
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?
A committee of 5 people is to be selected from 6 women and 7 men. Find the probability that a) all committee members are men.
A committee of 5 people is to be selected from 6 women and 7 men. Find the probability thata) all committee members are men.
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are 3 identical armadillos (as you may know, armadillos are born in litters in which each infant armadillo has identical DNA). These 3 armadillos are completely indistinguishable from each other (a) How many ways can the 8 humans and 3 armadillos be lined up for the photo? (b) How many ways can they all line...
Problem 3 A group of n couples composed of n men and n women enter a restaurant and sit randomly at n tables, two on each. i. Find the expected number of tables occupied by two people of different gender. ii. Find the expected number of tables occupied by couples. iii. If the n women enter the restuarant first and each sits at a separate table and then the men enter and sit randomly at the n tables. Find the...
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?
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