There are 500 students in a certain school. 150 students are enrolled in an Algebra course and 80 students are enrolled in a Chemistry course. There are 30 students who are taking both Algebra and Chemistry. If a student is chosen at random: (i) What is the probability that the student is taking Algebra? (ii) What is the probability that the student is taking Chemistry, given that the student is also taking Algebra? (iii) What is the probability that the student is taking Algebra, given that the student is also taking Chemistry?

There are 500 students in a certain school. 150 students are enrolled in an Algebra course and 80 students are enrolled in a Chemistry course. There are 30 students who are taking both Algebra and Chemistry. If a student is chosen at random: (i) What is the probability that the student is taking Algebra? (ii) What is the probability that the student is taking Chemistry, given that the student is also taking Algebra? (iii) What is the probability that the student is taking Algebra, given that the student is also taking Chemistry?

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: Lidia keeps eight cards with the picture of a tomato and four cards with the picture of a carrot on…

A: There are 8 cards with tomato and 4 cards with a carrot. So there are total (8+4)=12 cards.

Q: In a high school speech and debate club there 4 sophomore boys, 6 sophomore girls,3 junior boys, 5…

A: From the provided information, The table can be constructed as: Sophomore Junior Senior…

Q: Bonami High School has 82 juniors at its school. There are 29 students enrolled in Spanish class and…

A: Total students in school is 82 number of students enrolled in spanish class is, n(S) = 29number of…

Q: The accompanying table shows the numbers of male and female students in a certain region who…

A: According to our guidelines we can answer only first question and rest can be reposted.

Q: John has 10 ties (7 are blue and 3 are red) and 4 pairs of shoes (2 brown and 2 black). He selects…

A: Given information: The number of blue ties is n(BT) = 7. The number of red ties is n(RT) = 3. The…

Q: One card is drawn from a well-shuffled deck of fifty-two cards (no jokers). (a) Find the…

A: In a deck of 52 cards, there are 26 black cards and 26 red cards. a) The probability of drawing a…

Q: One card is selected from a deck of cards find the probability of selecting: (a) a queen, given it…

A: we know that,

Q: The glee club has 14 members. A quartet of four members must be chosen to sing at the university…

A: There are total 14 members We can pick any 4 members from 14 members in 14C4=1001 waysa) If Hannah…

Q: a. What is the probability that the student is in proper uniform? b. A female student is picked at…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: To find n(S), calculate the number of ways to select 8 marbles from the total number of marbles in…

Q: poker hand contains exactly one ace? (b) What is the probability that a five-card poker hand…

A: Solution

Q: 10 students are in a row and randomly assigned numbers 1-10. (a) What is the probability that…

A: 10 students are in a row and randomly assigned numbers 1 - 10.We are asked to find,(a) the…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given,Number of red marbles, n(red) = 3Number of green marbles, n(green) = 5Number of white marbles,…

Q: A large box of vegetables contains 5 tomatoes, 2 heads of lettuce, and 8 onions. A vegetable is…

A: Given that the box contains 5 tomatoes, 2 heads of lettuce and 8 onions. That is, the total number…

Q: A student is given 4 true or false questions. The student does not know the answer to any of the…

A: Given, A student is given 4 true or false question. He tosses a coin. Each time he gets a head, he…

Q: There are two bowls. The first one contains 5 red balls, 3 green balls, and 2 yellow balls. The…

Q: A secretary makes 2 errors per page, on average. What is the probability that on the next page she…

A: Given: Average number of errors per page is λ=2

Q: 322 chickens on a farm lay brown eggs and 326 chickens on the farm lay white eggs. If a chicken is…

A: The total number of outcomes is 322+326 =648. The number of favourable outcomes is 326.

Q: Suppose that 22% of people have a dog, 15% of people have a cat, and 2% of people own both. What is…

A: Given that, 22% of people have a dog15% of people have a cat2% of people own both

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Lets, specify the event E as, Suzan has no more than one white marble among the 5 marbles. The…

Q: When picking 5 cards at random from a standard deck of 52 cards, what is the probability of having:…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: According to the poker game, each player form sets of five playing cards. (i) Find the probability…

Q: Use combinations to answer the following problem: I want to choose a group of students from my…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

Q: Assume that the box contains 9 balls: 3 red, 1 blue, and 5 yellow. As in the text, you draw one…

Q: A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four…

A: 19 freshmen, 19 sophomores, 15 juniors, 18 seniorsTotal=71

Q: In a group of dogs, 20 dogs are poodles and 30 dogs are beagles. If a dog is selected at random,…

A: We want to find the probability a beagle is selected

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given dataNo of red marbles = 4No of green marbles = 2No of white marbles = 3No of purple marbles =…

Q: Four cards are drawn from a pack of cards. Find the probability that (1) all are diamonds, (ii)…

Question

0.2; 0.3; 0.375

0.3; 0.2; 0.375

0.25; 0.3; 0.2

0.375; 0.25; 0.3

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

You have a box of chocolates that contains 14 pieces of which:5 are solid chocolate,4 are filled with cashews, and5 are filled with cherries.All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. (a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates. (b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.
A sandwich shop has 5 types of bread, 4 types of cheese, and 3 types of ham. The shop has a pre-made ham and cheese sandwich. What is the probability that a randomly made sandwich has the types of bread, cheese, and ham that you want?
A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four players are selected at random to serve as captains. Find the probability of the following. Enter your answers as fractions or as decimals rounded to 4 decimal places. (a)All 4 are seniors. P(4 seniors)=
hiyam has 6 25 fils
Suppose that 30% of people have a dog, 17% of people have a cat, and 10% of people own both. What is the probability that someone owns a dog or a cat? The probability of a person having a dog or a cat is (Type an integer or a decimal.)