An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 116 students in the school. There are 44 in the Spanish class, 37 in the French class, and 24 in the German class. There are 17 students that in both Spanish and French, 8 are in both Spanish and German, and 7 are in both French and German. In addition, there are 4 students taking all three classes. If one student is chosen randomly, what is the probability that he or she is taking at least one language class? Give answer to three decimal places.

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 116 students in the school. There are 44 in the Spanish class, 37 in the French class, and 24 in the German class. There are 17 students that in both Spanish and French, 8 are in both Spanish and German, and 7 are in both French and German. In addition, there are 4 students taking all three classes. If one student is chosen randomly, what is the probability that he or she is taking at least one language class? Give answer to three decimal places.

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

Similar questions

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 116 students in the school. There are 45 in the Spanish class, 41 in the French class, and 22 in the German class. There are 17 students that in both Spanish and French, 7 are in both Spanish and German, and 10 are in both French and German. In addition, there are 4 students taking all 3 classes. If two students are chosen randomly, what is the probability that at least one of them is taking a language class?
Pizza Gut sells only pizza. They offer five types of crust, five types of cheese, four meat toppings and four vegetable toppings. If you must order exactly one type of cheese, one meat topping and one vegetable topping on your pizza, how many different pizzas can you order at Pizza Gut?
A certain car dealership sells two models of cars: Model S and Model V. Model S comes in 8 different colors and has 4 types of wheels available. Model V comes in 4 different colors and has 2 types of wheels available. How many different ways could you choose a single car from this dealership?
Suppose you want to select two types of snacks and one drink in a coffee shop. There are 5 choices of snacks and 10 types of drinks to choose from. If you don't want to pick the same snack twice, how many different combinations of 2 snacks and 1 drink could you have? Note, we consider the order of choosing snacks does not matter.
John, Jim, Jack and Joe have formed a band consisting of 4 instruments (drums, piano, guitar, flute). If John, Jim and Jack can play all 4 instruments, but Joe can play only drums, piano and guitar, how many different arrangements are possible? What if John can play all four instruments, Jim can play drums, flute and piano and Jack and Joe can each play only piano and guitar?
An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 91 students in the school. There are 32 in the Spanish class, 34 in the French class, and 26 in the German class. There are 14 students that in both Spanish and French, 6 are in both Spanish and German, and 8 are in both French and German. In addition, there are 3 students taking all 3 classes. If one student is chosen randomly, what is the probability that he or she is taking exactly two language classes? 28/91 If two students are chosen randomly, what is the probability that neither of them is taking Spanish? 70/91
A pizza shop has 16 different toppings available for their pizzas. How many different possible topping combinations could be offered, if each pizza contained 3 toppings, and you can't use the same toppings twice or three times on the same pizza (no double or triple toppings, all must be different)?
The owner of a stereo store wants to advertise that he has many different sound systems in stock. The store carries 6 different CD players, 10 different receivers, and 9 different speakers. Assuming a sound system consists of one of each, how many different sound systems can he advertise?
A person has 4 hats, 3 pairs of gloves, and 5 scarves. Assuming they all match, how many ways can this person choose 1 hat, 1 pair of gloves, and 1 scarf on a cold day?
You need to fly from NYC to LA with a stopover in Dallas. If there are three different flights available from NYC to Dallas and four different flights available from Dallas to LA , now many different trips can you take?