What is the probability that he/she does not study any of the three languages? (b) What is the probability that he/she studies German? (c) What is the probability that he/she studies only German and English?

What is the probability that he/she does not study any of the three languages? (b) What is the probability that he/she studies German? (c) What is the probability that he/she studies only German and English?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: 8. Three people are selected at random from five females and seven males. 12 (a) Find the…

A: Three people are selected at random from five females and seven males. Here there are total 12…

Q: There are 3 Chevrolets and 4 Fords in the company motor pool. Two cars are selected at random and…

A: No. of Chevrolets in the company motorpool = 3No. of Fords in the company motorpool = 4Total no. of…

Q: 74. A class consists of 80 students, 25 of them are girls and 55 boys, 10 of them are rich and…

Q: According to the Guinness Book of World Records, a woman from Russia, Mrs. Vassilyeva, had 69…

A: Solution: 18. From the given information, Mrs. Vassilyeva had 16 pairs of twins, 7 set of triplets…

Q: 4. Among the contestants in a competition are 42 women and 28 men. If 4 winners are randomly…

Q: 10. A bowl contains 10 marbles: 3 red marbles, 5 blue marbles, and 2 white marbles. Three marbles…

Q: 6). The staff at a small company includes: engineers, and 2 executives. If a person is will be a…

Q: 12. When Sue sees a bag of marbles, she grabs a handful at random. She has a bag that contains four…

A: There are total (4+3+2+1)=10 marbles in the bag.She can pick 5 marbles from 10 marbles in 10C5=252…

Q: (1) What is the probability that the driver meets with an accidents? (ii) What is probability the…

A: Let us define some events A : The person is truck driver. B : the person is motorbike driver. C :…

Q: 27. A candy jar contains 20 candies -4 raspberry, 6 lemon, 2 grape, and 8 cherry. Three condies are…

Q: A bag contains 8 red marbles, 6 white marbles, and 5 blue marbles. You draw 3 marbles out at random,…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: 32. A class consists of 100 students, 25 of them are girls and ze boys, 20 of them are rich and…

Q: . An urn contains 5 red balls, 9 blue balls and 6 green balls. Use this information for both (a) and…

A: Urn contain 5 red, 9 blue, 6 green

Q: 5. At a used-book sale, 100 books are adult books and 160 are children books. 70 of the adult books…

Q: 9 12-21. A committee of four has to be formed from among 3 cconomists, 4 engineers statıšticians and…

Q: A bag contains 4 red marbles and 7 blue marbles. You randomly pick a marble, return it to the bag,…

A: Given Data: The number of red marbles is: r=4 The number of blue marbles is: b=7 The total number of…

Q: 43. A university has to select an examiner from the list of 50 persons 20 of them women and 30 men,…

Q: A committee of 4 has to be formed among 3 economist, 4 engineers, 2 statisticians and 1 doctor. (i)…

A: The provided information is There are total committee member is 10 The total number of selection…

Q: In a high school graduating class of 100 students, 55 studied mathematics, 63 studied computer…

A: The total number of students is 100. The number of students studied mathematics is 55. The number of…

Q: Suppose a jar contains 6 blue, 3 green, and 2 red marbles. What is the probability of randomly…

A: given data 6 blue 3 green 2 red ____________ 11 total marbles select 3 at random without…

Q: b) A box contains 8 red, 5 white and 3 blue marbles. A sample of nine marbles is drawn with…

Q: if you randomly choose one bean, do NOT replace it, and randomly choose another, what is the…

A: Given: 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange Without Replacement we…

Q: 2. There are three boxes. The first box contains 10 long and 5 short bolts. The second box contains…

Q: In a class of 30 students, 17 are boys and the rest are girls. On a monthly math’s test, four boys…

Q: A lot of 100 bulbs from manufacturing process is known to contain 10 defective and 90 non-defective…

Q: you have 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange jelly beans (a) if you…

Q: 1. A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser…

Q: You have 5 choices of shirts: Red, blue, green, yellow, brown; 3 choices of pants: Green, brown,…

A: 5 choices of shirts: Red, blue, green, yellow, brown; 3 choices of pants: Green, brown, black; 4…

Question

1. There are 60 freshman students in a School. 15 of them study only Russian, 11 study both Russian and English, 12 only German, 8 both Russian and German, 10 only English, 5 both English and German and 3 the three languages (Russian, German and English). One student is chosen at random.

(a) What is the probability that he/she does not study any of the three languages?
(b) What is the probability that he/she studies German?
(c) What is the probability that he/she studies only German and English?
(d) What is the probability that he/she studies Russian?
(e) What is the conditional probability that the student would study Russian given that he/she studies German?
(f) What is the conditional probability that the student would study both Russian and English given that he/she studies German?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

3. An urn contains 10 red, 15 blue and 25 green balls. (a) Eight balls are chosen without replacement. What is the probability exactly 4 of the chosen balls are green? (b) Now four balls are chosen from the urn without replacement. What is the probability the first chosen ball is red, the second chose ball is green, the third chosen ball is green and the fourth chosen ball is blue?
19. In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 2 belong to an ethnic minority? 20. Use the information in the previous question to find the probability that at most 2 students belong to a minority.
Assume there are 4 programmers A, B, C, and D in a software company that develops apps. They develop, respectively, 15, 20, 30, 35 percent of the total apps there. Of their developments, respectively, 8, 5, 4, and 2 percent of the apps have bugs. An app developed by the company is chosen randomly and is found to have bugs.(a) (1 point) What is the probability that the app was developed by A?(b) (1 point) What is the probability that the app was developed by B?(c) (1 point) What is the probability that the app was developed by C?(d) (1 point) What is the probability that the app was developed by D?
3
3. Among the products of the first company, defective is 10%, the second - 20%, the third - 25%. We bought 6 products from the first company, 8 from the second and 4 from the third. For verification, one product was tested. Find the probability that it is valid.
A bag contains 7 red marbles, 5 white marbles, and 10 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that exactly two of the marbles are red?
4. If one ball each is drawn from 3 boxes, the first containing 3 red, 2 yellow, and 1 blue, the second box contains 2 red, 2 yellow, and 2 blue, and the third box with 1 red, 4 yellow, and 3 blue. What is the probability that all 3 balls drawn are different colors? 5. A basket of fruits contains eight (8) apples and ten (10) oranges. Half of the apples and half of the oranges are rotten. If one (1) fruit is chosen at random, what is the probability that a rotten apple or an orange is chosen? 6. A small-time bingo card costs P100.00 for 5 games. The prize for the first three games is P5,000.00, the fourth is P10,000.00 and the last prize is P20,000.00. If 1,000 bingo cards are going to be sold and you could only win once, what is the expected value of a ticket? 7. You pick a card from a deck. If it is a face card, you will win P500.00. If you get an ace, you will win P1,000. If the card you picked is red you get P100.00. For any other card, you will win nothing. Find the expected value…
7. A container has 5 red dice, 3 green dice and 4 black dice. If you randomly pick 2 marbles from the bag. one at a time, what is the probability that both will be red?
3. If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three students randomly selected for a group are all freshmen?