Question

Suppose you have a group of 12 British people and 18 Americans. What is the probability...

Suppose you have a group of 12 British people and 18 Americans. What is the probability of randomly selecting a four-person committee consisting entirely of Americans? Round to 4 decimals.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

It is given that we have a group of 12 British people and 18 Americans. We have to choose 4 random people to form a committee.

We have to find the probability of randomly selecting a four-person committee consisting entirely of Americans. In other words, we have to find the probability such that in a committee there is all American person. So,

There are total 18+12=30 person group.

Total no. of cases=30C4  and total no. of favourable cases= 18C4*12C0. Thus,

Required probability =

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose you are going to form a committee of students and faculty. You have 12 total...
Suppose you are going to form a committee of students and faculty. You have 12 total students and 18 total faculty to pick from. You want to have 8 total people on the committee. What is the probability that you select 2 students and 6 faculty? Enter your answer rounded to two decimals.
From a group of 11 people, you randomly select 3 of them. What is the probability...
From a group of 11 people, you randomly select 3 of them. What is the probability that they are the 3 oldest people in the group? Give your answer as a decimal rounded to 4 decimals
From a group of 10 people, you randomly select 3 of them. What is the probability...
From a group of 10 people, you randomly select 3 of them. What is the probability that they are the 3 oldest people in the group? Give your answer as a decimal rounded to 4 decimals
I have a couple math questions. #1 The probability of randomly selecting a 4 person committee...
I have a couple math questions. #1 The probability of randomly selecting a 4 person committee consisting entirely of women from a pool of 15 men and 17 women is ___ #2 Getting a sum of either 4,5, or 9 on a roll of two dice. Is it overlapping or non-overlapping and what is the probability of the combined event? #3 You draw one card from a 52 card deck. Then the card is replaced in the deck and the...
Q1. Part a) A bag contains 12 marbles. There are 4 marbles that are pink, 5...
Q1. Part a) A bag contains 12 marbles. There are 4 marbles that are pink, 5 are purple, and 3 are blue. A marble is randomly pulled out of the bag. What is the probability that the marble selected is pink or blue? Round to 4 decimals. Part b) A student randomly guesses on a 20 question true/false test. What is the probability that the student guesses correctly on 15 of the questions? Round to 4 decimals. Part c) A...
2. A group of 24 physical doctors from three countries consists of 7 Americans, 8 British...
2. A group of 24 physical doctors from three countries consists of 7 Americans, 8 British and 9 Chinese. They (wearing masks) are seated at random around a (large enough) table to discuss the means of treatment of COVID-19 patients. Compute the following probabilities: (a) that all the Americans sit together; (b) that all the Americans and the British sit together; (c) that all the Americans, all the British and all the Chinese sit together. 3. Randomly choose 6 doctors...
What is the probability that in a group of n people, n > 12, at least...
What is the probability that in a group of n people, n > 12, at least two will have the same birth month?
From a national survey, it was found that about 37% of all Americans have a short...
From a national survey, it was found that about 37% of all Americans have a short commute to work (i.e. the time it takes to get to work is less than 15 minutes). suppose you randomly select 5 Americans. (a). How many people would you expect to have a short commute? (b). What is the probability that all 5 people have short commutes? (c). What is the probability that at least one person does NOT have a short commute? (d)....
1. A group of people were asked if they had run a red light in the...
1. A group of people were asked if they had run a red light in the last year. 380 responded "yes", and 328 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal 2. Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 19 6 12 37 Female...
This question concerns forming committees of 4 persons from a group of 10 people. (a) How...
This question concerns forming committees of 4 persons from a group of 10 people. (a) How many ways are there to choose a committee of 4 persons from a group of 10 persons, if order is not important? (b) If each of these outcomes from part (a) is equally likely then what is the probability that a particular person is on the committee? (c) What is the probability that a particular person is not on the committee? (d) How many...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT