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World-Class Orchestras About.com’s list of 20 World Class Orchestras includes the following from the United States: Boston Symphony Orchestra,Chicago Symphony Orchestra, Cleveland Orchestra, Los Angeles Philharmonic, New York Philharmonic, the Metropolitan Opera Orchestra, and the San Francisco Symphony. Choose 5 at random from the list of 20 for a benefit CD. What is the probability that the collection will include at least one group from the United States? At least 2 from the United States? That all 5 will be from the United States?

0.917; 0.594; 0.001

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 5

Sampling and Data

Probability Topics

Brett S.

October 28, 2020

this isnt even the question???

University of North Carolina at Chapel Hill

Piedmont College

Cairn University

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Okay, So in this particular question, it is asking us. Yeah, to find the first part of the question you're asking, What is the probability that the collection will include at least one group from United States? So probably off at least one from United States. Okay, so at least one from writer statements. What? It'll be equal toe one minus, probably off. None off from two. Writer state. So that you can writers one minus probably off. None from United States. So in the question it is given there are 20 orchestras other okay on out off that we're selecting five. So from United States, we're not selecting anything. Means it will be 70 0 in the remaining 13 orchestra. We're going to select five. This will be done favorable. KCIA None from us names now. Basically, there are 20 bands seldom out off that. We're selecting five, So we'll be getting to in d c. Five years. So when we simplify this, we get one minus 70 0. We can write one 13, 35. We can write 13 to 12. Window 11, Indo 10, Indo nine right. Five into four into clean toe toe into one. Do what you like. 20 C five minutes similarly turned into 19 to 18 into 17 into 16, right, five into four into three in two into one, which is just trying to simplify this. When we simplify, bake it. The answer is equal to zero point 917 This will be require probability for first part of the question. No, In this second part, it is asking us to find probable to that, at least to from United State, at least two from United States. So this question we can do at least two years electing from United statements from United States. There are seven orchestra From there you're selecting two means 72 into remaining will be selecting from work remaining 13 orchestras. So 13 C three Welcome total five selection is required, so 72 in 13 states will be one of the option. Or at least the two means It can be three. It can be four, or it can be five. Similarly, we get 73 into 13th Street to 70 four into 13 7 on finally, everything we're selecting from us on from 13 remaining, we're not selecting anything that is 13 c zero welcome and numerator. We can divide with them out off 20 You're selecting five again. We are simplifying this 72 33. Everything we put value on simplify, this will be getting answered. 0.5 94 This will be required after him. No. In the third part of this question, it is asking us to find probably that are five selection. He's from United States, all five from United States mints. We know in the United States, there are seven orchestras are so seven years selecting five reminding 13. You are not selecting anything that is 13 c zero Andi. So this little bit of favorably cases Now we know daughter number of selection possible will be out off to engage is charged Selected five again Simplify this 75 into 13 c zero value Simplify How can simplify 6726 into five into four in tow. Three. They were about five into four into 32 into one. 13 C zero means it is one divided by 20 C five value. We already found out here for doing the first question just starts to call. These values will be getting the final answer is equal to 0.1 Disappeared Require the probabilities

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