three students are chosen from 2 freshmen, 5 sophomores, and 5 juniors. What is the probability of selecting 2 freshmen and 1 junior given that at least one freshman will be selected? Use Pr[?∩?]Pr[?]=Pr[?|?]

three students are chosen from 2 freshmen, 5 sophomores, and 5 juniors. What is the probability of selecting 2 freshmen and 1 junior given that at least one freshman will be selected? Use Pr[?∩?]Pr[?]=Pr[?|?]

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: Judy applied to ten colleges. Each college can either accept (A) or reject (R) her application.…

A: Given that: Success probability, p=0.40 Sample size, n=10

Q: Find the probability of at least 2 female visitors in 17 visitors to Mt. Rainier National Park.…

A: The provided information are: Probability of success (p) = 0.5 Number of trials (n) = 17

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

Q: Assume that there are 13 board members: 7 females, and 6 males including Simeoni. There are 5 tasks…

A: 1) Given that there are 13 board members in which 7 females and 6 males including Simeoni. There are…

Q: C. The probability that the the child will be older than 5 years old? | 0.8681 d. The probability…

A: Consider that the answer of the given part a, b, and c are the correct answer. And distribution is…

Q: Which of the following values cannot be probabilities? 1,5/3, √√2, 3/5, -0.55, 0.09, 1.32, 0

Q: Find the probability of at least 2 female visitors in 19 visitors to Mt. Rainier National Park.…

A: Given that male and female visitors are equally likely. That is, P(male)=P(female)=1/2=0.5 Let us…

Q: Find the probability of at least 2 female visitors in 16 visitors to Mt. Rainier National Park.…

Q: The probability that a man develops some form of cancer in his lifetime is 0.4567. The probability…

A: The probability that a man develops cancer in his lifetime is .The probability that a man has at…

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: A physics class has 40 students. Of these, 13 students are physics majors and 15 students are…

Q: You randomly select an integer from 0 to 4 (inclusively) and then randomly select an integer from…

A: Given :- numbers from 0 to 4 has 5 numbers n1 = 5 O to 39 has 40 numbers n2 = 40

Q: The probability that a student pilot passes the written test for a private pilot's license is 0.55.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: Consider a gambler who at each gamble is equally likely to either win or lose $1. Suppo that the…

A: From the given information, Each gamble is equally likely to either win or lose $1. P(1)=P(-1)=1/2…

Q: For -1.5 > Z < 1, the probability is

Q: Which would be the appropriate command in Excel to calculate the following? What is the probability…

A: Given: n = 13 x = 6 p = 0.80

Q: 8% of all Americans live in poverty. If 48 Americans are randomly selected, find the probability…

A: given data sample size n = 48population proportion who lives in poverty = p = 0.08x= no. of people…

Q: A student takes a true false examination consisting of 8 questions. He guesses each answer. The…

Q: Find the probability that the home has exactly 1 (a fireplace exclusive or a garage). Find the…

A: d. Suppose event F denotes that homes have a fireplace and event G defines that homes have a garage.

Q: Nine independent machines are used in an operation where the probability of a machine to function is…

A: From the provided information, Sample size (n) = 9 Probability of success (p) = 0.95 The process…

Q: A group of people were asked if giving children sugar makes them hyper. 621 responded "Yes", and 650…

A: Probability: The ratio of the number of favorable outcomes to certain event and total number of…

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro. The…

A: It is given that, There is a group of 9 people including Pedro. We have to form a committee of 4…

Q: Which would be the appropriate command in Excel to calculate the following? What is the probability…

A: The sample size n is 13.

Q: In an original group, the probability of choosing a girl from that group was 1/3 When 1more girl…

A: Consider a number of boys are x and the number of girls are y and solve it by using given…

Q: If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are…

A: Probability of an event when event B is given is determined by,

Q: Which would be the appropriate command in Excel to calculate the following? What is the probability…

A: The sample size n is 13.

Q: Which would be the appropriate command in Excel to calculate the following? What is the probability…

A: Given: n = 13 x = 6 p = 0.80

Q: Suppose an airline found that about 7% of the people making reservations on a flight from Miami to…

A: Sample size=n=226 The airplane has only 219 seats. Let r represent the number of people with…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

three students are chosen from 2 freshmen, 5 sophomores, and 5 juniors.

What is the probability of selecting 2 freshmen and 1 junior given that at least one freshman will be selected?

Use Pr[?∩?]Pr[?]=Pr[?|?]

Video Video

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

From a group of 10 children, a team of 5 (red team) is randomly chosen. The remaining 5 children are on blue team. Two of the children are best friends, what is the probability they will end up on the same team? Can u show me the work for this?
There are two boxes. Box A contains 6 red balls, and 4 blue balls andBox B contains 4 red balls and 8 blue balls. A die is rolled, if the number is lessthan 3, a ball is selected from box A. If the result is 3 or more, a ball is selectedfrom Box B. Calculate:a. The probability that the ball will be red and selected from Box B.b. The probability that the ball will be blue.
Why is it that the P(3set and V wins)=(0.09+0.0675)? What is the formula of P(3set and V wins)?
Suppose that a family has seven children. Also, suppose that the probability of having a girl is 1/2. Find the probability that the family has at least six girls.
a quiz for a psychology class consists of ten questions, the questions are multiple choices with five possible answers each with only one correcct answer. if the student did not study and is guessing for all ten questions (x is the number of correct answers a students get correct) A- what is the probability of that student gettting one correct answer? B- what is the probability of that student getting a passing grade (70% or more correct is passing)
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
An integrated circuit contains 9.5x10 logic gates; each gate can be a logical AND or OR circuit. Assume the probability of a gate failure is p and that the failures are independent. If any gate in the circuit fails, the entire circuit will fail. What should be the value of p so that the probability that the integrated circuit functions is 0.95? 5.
In a lottery, the top cash prize was $659 million, going to three lucky winners. Players pick five different numbers from 1 to 57 and one number from 1 to 42. A player wins a minimum award of $450 by correctly matching three numbers drawn from the white balls (1 through 57) and matching the number on the gold ball (1 through 42) What is the probability of winning the minimum award? The probability of winning the minimum award is (Type an integer or a simplified fraction.)