A random drawing will determine which 3 people in a group of 9 will win concert tickets. what is the probability that you and your 2 friends will win the tickets? express your answer as a fraction in simplified form.

Answers

Answer 1

The probability that you and your 2 friends win the tickets is P = 1/84.

How to determine the probability?

There are 9 possible outcomes, 3 of which are you and your friends.

All of these outcomes have the same probability of being randomly selected, then the probability of winning is given by the quotient between the number of "outcomes" that you have and the total number of outcomes.

Let's say that the outcomes are pieces of paper with the names of the participants.

First draw:

In this one, there are 3 possible options that work, one is your paper, and the other two are for your friends.

So the probability is 3/9 = 1/3.

Second draw.

One of your group already won, so now there are 2 of you, and a total of 8 pieces of paper, so this time the probability is 2/8 = 1/4

Final draw:

Only one of you remains, and there is a total of 7 pieces of paper, this time the probability is 1/7.

The joint probability (of these 3 events happening in succession) is given by the product of the individual probabilities:

P = (1/3)*(1/4)*(1/7) = 1/84

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Related Questions

Which quotation from the passage provides evidence of the implied claim

Answers

Answer:

a, we mutually pledge to each other our lives, our fortunes, and out sacred honor

Which checking account would be best for nathan? account a account b account c account d

Answers

Answer:

Account Bank D

Drag each item to indicate whether it is an example of water used in the production of food or energy

Answers

Based on the above, water used to produce for Food and Energy while energy production require a great deal of Water.

What is energy?

The term energy is known to be the ability or the power that is needed to do any kind of work.

Based on the above, water used to produce for Food and Energy while energy production require a great deal of Water as they are both essential source of energy and nutrients.

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Answer:

WATER USED IN FOOD PRODUCTION: irrigating crops, making chocolate

WATER USED IN ENERGY PRODUCTION: cooling thermal plants, running hydroelectric dams

Explanation:

just did the question, these answers are correct.

What does islam have in common with judaism and christianity brainly

Answers

Answer:

They are all monotheistic faiths

Explanation:

Each believe in some sort of higher power & worship 1 god  

The experimental probability of rolling an odd number is %, which is % more than the theoretical probability.

Answers

Of the twenty times in this experiment the following are prime (3,5,2,7,3,7,2,2,7,3,3,5) or 12 of the twenty

12/20 = 6/10  = 60%

So 60% is the experimental probabilty.

The theoretical probability given that there are four prime numbers (2,3,5,7) out of 8 on the dice should be 50%  because 1/2 of the numbers are prime.

The experimental probability is 10% more than the theoretical probability

60% - 50% = 10%Answer:

Explanation:

Since it was a school day denise thought it was peculiar

Answers

Answer:

what is the question?

Explanation:

no image, no real way to solve this problem

A current is induced in a wire by moving the wire through a magnetic field

Answers

Answer:

true

Explanation:

What was the most serious health concern caused by the poor sanitation and contaminated water supplies in 19th century tenements?

Answers

The most serious heath concern caused by the poor sanitation and contaminated water supplies in 19th century tenements is cholera epidemic.

What is Cholera?

Cholera is a disease caused by bacteria, vibrio cholarea. The bacteria is present in water.

The symptoms of this disease are diarrhea and dehydration.

Thus, the  most serious heath concern caused by the poor sanitation and contaminated water supplies in 19th century tenements is cholera epidemic.

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Which situations result in an increase in the national debt? select the two correct answers.

Answers

The two situations that result in an increase in the national debt include, an increase in intergovernmental debt and federal budget deficits.

What is a national debt?

A national debt can be defined as the total sum of debts owed by the government of a nation.

Situations that results to an increase in the national debt include:

federal budget deficitsborrowing from the Social Security Trust Fundlow interest rates promoting increased investmentraised debt ceilingsAn increase in intergovernmental debt, etc

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This is a public service announcement. two people sharing ear buds on a poster that reads, "spread music. not flu. even healthy people can get the flu, and it can be serious. everyone 6 months and older should get a flu vaccine. this means you. this means protect yourself, and those around you, by getting a flu vaccine." what is the purpose of this public service announcement? to encourage people to spend time with people who have the flu to inform people that they can catch the flu from their friends to inform people that sharing headphones can spread the flu to encourage people to take precautions against catching the flu

Answers

The purpose of this public service announcement is to spread awareness about being protected and stay away from the sharing.

What is flu?

Flu also called as Influenza is the symptoms of fever, headache, muscle pain and weakness, dry cough, sore throat as well as a stuffy nose.

"spread music. not flu. even healthy people can get the flu, and it can be serious. everyone 6 months and older should get a flu vaccine. this means you. this means protect yourself, and those around you, by getting a flu vaccine."

This means that music can be spread by sharing but by sharing don't spread flu to your loved ones or friends. Take precautions till you get rid of their symptoms.

Thus, the purpose of this public service announcement is to spread awareness about being protected and stay away from the sharing.

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Answer:

Its B!

Explanation:

:D

Of the 318 sophomores, 140 are taking algebra 2 and 102 are taking chemistry. of those that are taking chemistry, 76 are not taking algebra 2. if a sophomore is chosen at random, find the probability that they are taking algebra 2, if it is known that they take chemistry.

Answers

The probability that the sophomores are taking algebra 2 is equal to 0.63.

How to find the probability?

In order to determine the probability that the sophomores are taking algebra 2, we would calculate the number of sophomores that takes algebra 2 but not chemistry and those that do not take chemistry.

For algebra 2 but not chemistry, we have:

Algebra 2 but not chemistry = 140 - 76

Algebra 2 but not chemistry = 64.

For those not taking chemistry, we have:

Not taking chemistry = 318 - 102

Not taking chemistry = 216.

Now, we can find the probability that the sophomores are taking algebra 2:

P(A) = 64/102

P(A) = 32/51

P(A) = 0.63.

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Tim wants to buy a new subcompact car, which costs $20,000. he will pay a down payment of 10 percent and finance the rest at 12 percent. if he finances the vehicle over 5 years, how much will his total finance charge be?

Answers

Based on the calculations, Tim's total finance charge would be equal to $12,048.

What is total finance charge?

The total finance charge can be defined as the amount of interest and other expenses which a customer would have to pay a lender, for borrowing an amount of money (credit).

In this scenario, Tim's monthly payment would be equal to $800.80 and after five (5) years, the total amount of money he'll pay is given by:

Total amount = $800.80 × 12 × 5

Total amount = $48,048.

For the total finance charge, we have:

Total finance charge = Total amount - Principal

Total finance charge = 48,048 - 36,000

Total finance charge = $12,048.

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Answer:

its in the 6 thousands !!

Explanation:

Not too sure

In the 1800s,______ were passed requiring african americans and white americans to use separate facilities.

Answers

Answer:

Jim Crow Laws

Explanation:

This was the sorta begining to segregation and it started because of the Jim Crow Laws.

hope this helps :)

What is limit of startfraction startroot x + 2 endroot minus 3 over x minus 7 endfraction as x approaches 7? negative one-sixth 0 one-sixth dne

Answers

The value of  limit of startfraction startroot x + 2 endroot minus 3 over x minus 7 endfraction when x approaches 7 is 1/6.

How to evaluate a function for a given value?

To evaluate a function for a particular value, plug in the value of the variable in the function.

The expression given in the problem is,

[tex]\lim_{x \to 7} \dfrac{\sqrt{(x+2)}-3}{x-7}[/tex]

Multiply the factor √(x+2)+3 above and below of fraction,

[tex]\lim_{x \to 7} \dfrac{\sqrt{(x+2)}-3}{x-7}\times\dfrac{\sqrt{(x+2)}+3}{\sqrt{(x+2)}+3}\\\lim_{x \to 7} \dfrac{\sqrt{(x+2)}^2-3^2}{(x-7)(\sqrt{(x+2)}+3)}\\\lim_{x \to 7} \dfrac{x+2-9}{(x-7)(\sqrt{(x+2)}+3)}\\\lim_{x \to 7} \dfrac{x-7}{(x-7)(\sqrt{(x+2)}+3)}\\\lim_{x \to 7} \dfrac{1}{\sqrt{(x+2)}+3)}[/tex]

The value of x tents to 7. Thus,

[tex]}\dfrac{1}{\sqrt{7+2)}+3}\\[/tex]

1/(3+3)=1/6

Thus, the value of  limit of startfraction startroot x + 2 endroot minus 3 over x minus 7 endfraction when x approaches 7 is 1/6.

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Answer:

c 1/6

Explanation:

Alice thinks that she is the president's illegitimate daughter

Answers

Answer:

she needs to get a DNA test and she can find out if they are a match if they are then she's legit if not a match then shes correct

Explaination

DNA test

Why did nero persecute early christians? christians refused to trade with the romans. christians would not serve in the roman army. christianity was viewed as a threat to the empire. christianity preached against the laws of the emperor.

Answers

The option C is true, as the Roman leaders feared they were undermining authority.

What is persecution?

Persecution is the act of harassing or oppressing a person or a group of people, especially because of their identity.

Many Christians were died or killed when the Roman government began to persecute Christians under Nero, because the Christianity was declared illegal at that time. It was believed that the Christian religion was the counter religion to the traditional Roman religion.

In Rome, the great fire was caused because of the persecution of the Christians and because of influence of Christianity in traditional Roman religion. The Christians were persecuted in the next hundred years by the upcoming emperors.

Thus, Option C is true that the Christianity was viewed as a threat to the empire.

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Answer: Its C

Explanation:

I did the test

The mystery food sample contain polysaccharides because the color of the test tube was

Answers

Answer:

gelatin

Explanation:

Answer:

Explanation:

The mystery food sample ✔ does notdoescontain polysaccharides because the color of the test tube was ✔ not blue/black.

Where do scientists find pollen grains to study ancient climate change? what attribute of the pollen grains helps scientists identify the types of plants they belonged to?

Answers

Answer:

1. in sediment layers

2.Shape

Explanation:i dont have one just trust me

Answer:

1. In sediment layers

2. Shape

Explanation:

Which example lists minerals from hardest to softest? apatite, quartz, fluorite, talc diamond, talc, fluorite, topaz talc, calcite, orthoclase, diamond corundum, quartz, calcite, gypsum

Answers

Based on the Mohs hardness scale corundum, quartz, calcite, and gypsum are minerals listed from hardest to softest. Thus, option D is accurate.  

What is the Mohs scale?

Minerals are inorganic compounds that have characteristic structures and physical forms. The hardness and the softness of the minerals are estimated by the Mohs hardness scale.

Hardness is the physical characteristic that defines the resistance level of getting penetrated and scratched. According to the scale, the level of hardness is corundum (9), quartz (7), calcite (3), and gypsum (2).

Therefore, option D. corundum, quartz, calcite, and gypsum are minerals listed from hardest to softest.

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Leadership is a talent that cannot be learned. please select the best answer from the choices provided t f

Answers

Answer: false bcuz anyone can learn and develop good leadership :3

Answer:

The statement is false because anyone can learn good leadership skills.

Explanation:

Leadership is defined as a skill, not a talent. Through repetition and practice, anyone can learn to become an effective leader.

Which verb or verb phrase is in the correct tense to complete the sentence? yearn yearned did yearn will yearn

Answers

Answer:

it's the one that has action in it

Explanation:

verb is an action in a sentence, like run for example

A manager drew this box-and-whisker plot to represent the ages of her 23 employees. every employee is a different age.

Answers

Answer:

Explanation:

About 5 employees have ages that are older than 54 years.

What is a box plot?

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

From the diagram, the third quartile is 54 years. Hence 75% of the employees are between 35 to 57 years.

25% are older than 54 years, hence:

Employers older than 54 years = 25% of 23 employees = 5.75

About 5 employees have ages that are older than 54 years.

On a national level, the american public was the violence faced by the civil rights protestors in birmingham.

Answers

Answer:

outraged.

Explanation:

they had to be outraged and I would be to.

On a national level the American public was outraged by the violence faced by the civil rights protestors in Birmingham.

What was Birmingham Campaign?

One of the most important campaigns of the civil rights movement of the time was Project C or the Birmingham Campaign of the Spring of 1963. Protesters organized many marches and boycotts in downtown Birmingham such as in the City Hall.

People were protesting in a non-violent way against segregation laws when they where met by the police with violent use of the force with dogs and high-pressure fire hoses. On a national level. The American public was outraged by the violence faced by the civil rights protestors in Birmingham.

The Birmingham campaign, or Birmingham movement, was a movement founded in early 1963 by the Southern Christian Leadership Conference to pay application to the unification efforts of African Americans in Birmingham, Alabama. The civil rights movement was an unusual journey for balance.

Therefore, On a national level the American public was outraged by the violence faced by the civil rights protestors in Birmingham.

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What are the two types of long-term memory? a. sensory and short-term b. iconic and echoic c. explicit and implicit d. recency and primacy please select the best answer from the choices provided a b c d

Answers

Answer:

C.

explicit and implicit memory

Explanation:

Explicit memories, also known as declarative memories, include all of the memories that are available in consciousness.

Implicit memories are those that are mostly unconscious. This type of memory includes procedural memory.

How does the antagonist move the plot forward in this excerpt? nagaina moves the plot forward by running to the rat-hole, where rikki-tikki will destroy her. nagaina moves the plot forward by rustling her tail and turning her head round and round. rikki-tikki moves the plot forward by jumping up and down to confuse nagaina in their fight. rikki-tikki moves the plot forward by giving the egg to nagaina, thereby forcing her to run away.

Answers

Answer:

B

Explanation:

I’m smart

Answer:

a

Explanation:

Enter the correct 4 digit code (no spaces)

Answers

Answer:

a 5

b 9

c 3

d 4

Explanation:

if you were to substitute in these numbers it would be valid.

3+2=5

1+3=4

mabe 4+5 =9

I've already ruined my brand-new jeans, and i've only had them on for three hour!

Answers

man that's rough buddy

Describe four types of packaging that prevent tampering with medicine

Answers

Answer:

Explanation:

Anti tampering is a package designed to clearly indicate that a medicine has been previously opened! Some products us foil wraps, ...

A brick is dropped from rest from a height of 4. 9 m. how long does it take the brick to reach the ground?

Answers

Answer:

1.0 s

Explanation:

An increase in atomic number is related to an increase in atomic mass because

Answers

Answer: more protons are present in the atomic nucleus
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