Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Football Team Selection A football team consists of 20 freshmen and 20 sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that$$\begin{array}{l}{\text { a. All } 4 \text { are seniors }} \\ {\text { b. There is } 1 \text { each: freshman, sophomore, junior, and senior }} \\ {\text { c. There are } 2 \text { sophomores and } 2 \text { freshmen }} \\ {\text { d. At least } 1 \text { of the students is a senior }}\end{array}$$

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 5

Sampling and Data

Probability Topics

University of St. Thomas

Idaho State University

Boston College

Lectures

0:00

02:07

In a group of 10 students …

03:11

School Newspaper Staff A s…

09:34

At a certain university, 2…

01:34

For Exercises $20-23,$ det…

01:49

There are 3 seniors and 15…

01:29

A defensive football squad…

00:46

Sports How many different …

02:10

A class consists of 10 gir…

01:47

In a certain College Algeb…

01:57

Determine each probability…

Okay, So if this question it is given, it is all about the football team. Selection on there is a football teams, though. Consist off 20 freshmen on 20. Soft, most yeah, on 15 juniors in juniors on 10 seniors. Okay, 10 seniors. Although, so now we're selecting a randomly four people as captains. Okay, on those four selection, if, in the first part of question, they're asking if all four selection our seniors from Syrians, that is probably defect. Yes, selecting for seniors. So basically here we can see that up. 2020 65 people have them. So four selection can do by using 65 c four now, that would be the total number of selection The favorable cases here. You're selecting four seniors, so there are 10 senior service from there you're selecting for seniors. So favorable case will be water 10 C four. Now we can reduce this. Be good. 0.3 va slipping required. Probably in the second part of the question. It is asking property that there is one fresh minister. One sophomore sister, one junior is there on one senior wrist. How many ways we construct again? Total number of selection is total number of ways we can select four people V 65 C four. Now our selection is one fresh. Marika had to select out of 2023 1 mhm out of 20 so famous without select one that is also in this even out of 15 junior's. You have to select one junior hand out off 10 senior one Syria like this. So again we can produce 27 means we know N c one single toe end. So 20 c one will be 20 23 only be 2015 c one will be 15. Tennessee one will get back. Okay. Against substitute these values, we get 0.886 requirements in the third. Part of the question is asking. There are two sophomores earlier on two freshmen, So probability of getting to so famous on Day two freshmen again, The total number of ways we can select the 65 c four the favorable case to so far mostly are developed, can see better twenties offer muscle. So from there, here, just like to on again there are 20 juniors are there, So it 20 fresher service You have to select toe 20 c to welcome. Give me substituting all these values you get. The answer is equal 2.533 In the last part of the question, it is asking there is at least one student. Is a senior the problem? The off at least one studio. So when questions are coming, like at least how we can do this, this one you can do, like one minus, probably off. No cereals. Okay, so at least one scenery vehicle. What? It is just a contract. It evened off. No senior. Right, So one minus the probability off. No, senior, That means one minus how we select for people without seniors so they can see there are 65 people are there out off that tank. Seniors are there. So remaining there are 55 people on them at the casinos. So from here, we are threat for whip that you can do it. 55 c four ways on again. The daughter Number of selection will be what to remain the same. 65 seafood again. Put in these values bake. It probably will vehicle tow 0.496 This will be required. Probably deformed. Last part of the question. Hope I soldier problem here. Uh huh.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In a group of 10 students at a community college, 6 are freshmen and 4 are s…

School Newspaper Staff A school newspaper staff iscomprised of 5 seniors…

At a certain university, 20$\%$ of all students are freshmen, 18$\%$ are sop…

For Exercises $20-23,$ determine whether the events are mutually exclusive o…

There are 3 seniors and 15 juniors in Mrs. Gillis's math class. Three s…

A defensive football squad consists of 25 players. Of these, 10 are linemen,…

Sports How many different teams of 11 players can be chosen from a soccer sq…

A class consists of 10 girls and 12 boys. A team of 6 members is to be chose…

In a certain College Algebra class, there are 18 freshmen and 15 sophomores.…

Determine each probability if a student is selected at random from the class…

05:09

People Seated in a Circle In how many ways can 3 people be seated in a circl…

02:32

Textbook Selection How many different ways can an instructor select 2 textbo…

01:43

Test Marketing Products Anderson Research Company decides to test-market a p…

04:58

Football Team Selection A football team consists of 20 freshmen and 20 sopho…

03:28

Selecting a Location An advertising manager decides to have an ad campaign i…

05:32

Getting a Full House Find the probability of getting a full house (3 cards o…

02:42

Dominoes A domino is a flat rectangular block whose face is divided into two…

04:18

Socks in a Drawer A drawer contains 11 identical red socks and 8 identical b…

08:23

Recall that for use of a normal distribution as an approximation to the bino…

05:13

World-Class Orchestras About.com’s list of 20 World Class Orchestras include…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.