marbles numbered from 1 to 12 are put in a bag. if marbles are not put back into the bag after being drawn, what is the probability of drawing two prime numbers in a row?

Answers

Answer 1

Answer:

[tex]P = \frac{1}{11}[/tex]

Explanation:

Given

[tex]Marbles = 12[/tex]

Selection: Without replacement

Required

The probability of selecting 2 primes

Between 1 and 12, the prime digits are: 3, 5, 7 and 11

i.e. 4 prime digits

When the first marble is selected, the probability that it will be prime is:

[tex]P(1) = \frac{4}{12}[/tex]

 

Since it is a selection without replacement, there are 3 primes left and 11 marbles in total.

The probability of selecting another prime is:

[tex]P(2) = \frac{3}{11}[/tex]

The required probability is:

[tex]P = P(1) * P(2)[/tex]

[tex]P = \frac{4}{12} * \frac{3}{11}[/tex]

[tex]P = \frac{1}{11}[/tex]


Related Questions

Question 10 of 10
The Orthodox Church in Christianity was officially formed when:
A. the Great Schism divided Christian churches.
B. Jesus of Nazareth was crucified.
0
C. Constantine converted to Christianity.
D. Christianity was brought to the Americas.
SUBMIT

does anyone know this ?

Answers

Answer:

A.

Explanation:

The Great Schism was a period of division between the Eastern and Western churches. The eastern and western churches shared the same faith till the Great Schism, which is arising of conflict between the eastern and western Christians that ultimately led to the division between the two. After the Great Schism, churches in Rome and Avignon were reigned by popes.

Therefore, the correct answer is option A.

How did the Black Death help to end manorialism?

Answers

Answer:

After the Black Death, Western Europeans were less tied to a stable social and spiritual community. As social tensions increased, serfs defined manorial lords, and many became criticizing medieval traditions. Many people died of starvation and of disease.

Explanation:

Which extermination camps started as a forced labor camp for Soviet prisoners of war?
A. Treblinka II
B. Sobibor
C. Majdanek
D. Belzec

ANSWER: Majdanek

Answers

Answer:

C. Majdanek

Explanation:

The extermination camps that started as a forced labor camp for Soviet prisoners of war was Majdanek.

Majdanek was used as a concentration camp during the Second World War by the Nazis during their invasion of Poland.

Answer:

c

Explanation:

Majdanek


What is a major function of the president's cabinet members?

Answers

Explanation:

Officers of the President's Cabinet provide advice to the President from all major issues that he must address. They are also in charge of the Current Administration of our govt's agencies. Until  the President appoints can take office, Congressional must give their permission.

An organ, in any multicellular organism, would BEST be described as
A)
several types of cells working together for a common purpose.
B)
a group of the same kind of cells with a common structure and function.
a structure containing a single cell that is part of a large system.
D)
a structure made of two or more tissues functioning together for a common
purpose.

Answers

Answer:

the answer is D

Explanation:

Answer:

Explanation:

D

What statement about Roman slavery is TRUE? (W3.1.8) *

Slaves could become educated and could gain their freedom.

Slaves in the city had voting rights.

Slaves in the mine were treated better than household slaves.

Rural slaves were usually citizens of Rome that were being punished.

Answers

Answer:

Slaves in the city had voting rights.

Which of the following statements is true about the relation?
The relation is not a function.
The relation is a function and the domain is {1, 2}.
The relation is a function and the domain is {-1, -2, -3, -4}.

Answers

the relation is a function and the domain is 1,2

please help me please ​

Answers

Can you translate it to English please

What was a reason for Texas involvement in the Civil War?
F. The Texas economy, social structure, and political values were much like the
northern states.
G. Texans believed that the U.S. government should intervene more in economic
decisions.
H. Texans depended on slave labor for its heavy cotton production.
3. Texans wanted the 13th Amendment added to the U.S. Constitution.

Answers

Answer:

H.

Explanation:

Answer:h

Explanation:simple

2. What molecule does the drawing above represent? Label the 3 parts.

Answers

Answer:

ATP (Adenosine triphosphate)

Explanation:

The molecule shown in the figure is an ATP molecule, also known as Adenosine triphosphate. This molecule is formed by three structures, a phosphate group (represented in the figure by the 3 "P"), a rigose (represented in the figure by the central figure) and an adenine molecule.

ATP is the cell's energy currency and is formed during the process of cellular respiration.

Which form of government in a Greek city state usually came first

Answers

Answer:

democracy

The Ancient Greeks may be most famous for their ideas and philosophies on government and politics. It was in Greece, and particularly Athens, that democracy was first conceived and used as a primary form of government. Ancient Greece was made up of city-states.

Explanation:

How was nationalism a driving force behind the unification of Germany and Italy?

Answers

Nationalism is a unifying effect when it comes to history. Areas with similar languages and values have a lot to say, when you see that much is similar you realize that it is often better together. In Germany, the pus factor was Prussia's expansionism that might start it. This is similar to Italy, where several people speak the same language and share the same values.

what was the role of chantry school in the middle ages​

Answers

Schools of this sort at first arose out of bequests by wealthy persons to support foundations for priests who should 'chant' masses for the repose of their souls. ... Since these religious duties did not absorb all the time of the priests, they were able to do some teaching.

When a governor meets with other government officials,
he or she is acting as____

Answers

Answer:

She or he serves as the cheif?

Explanation:

I  don't really know so.. you should do more research towards it to get it correct.

Answer:

Diplomat

Explanation:

l am for the motion that boys should not help in the kitchen

Answers

Answer:

And I'm for the motion that who ever is the better cook should be the one that's working in the kitchen.

Explanation:

How did WWII change America at Home?

Answers

Food, gas and clothing were rationed. Communities conducted scrap metal drives. To help build the armaments necessary to win the war, women found employment as electricians, welders and riveters in defense plants. Japanese Americans had their rights as citizens stripped from them.

What effect do you think possession of the atomic bomb will have on the role of
the US in the postwar world?

Answers

Answer:

it made the USA feared

Explanation:

How is humor utilized in the song, "You'll be back" and why do you think the writer intended this

Answers

Answer:

1000000fhtthffytytfgfhggv

Joe is now going to trial. He is entitled to a trial by jury.

Considering what you know about juror selection, which of these citizens are potential impartial jurors for Joe’s case? Check all that apply.

a retired owner of a small business
the mother of a young man who is Joe’s age
one of Joe’s coworkers
a young man four years older than Joe
a business owner who is a friend of Joe’s boss

Answers

- a retired owner of a small business
- a young man four years older than joe
- the mother of a young man who is joes age

Answer:

1,2,4

Explanation:

why was King John was an unpopular king.? ​

Answers

Answer:

John collected taxes, modernised the government and exerted his power over the Church, Scotland and Ireland. This made him unpopular with the barons. In 1201-2, helped by King Philip of France, the lords of Lusignan, a powerful alliance of French nobles, rebelled against John. John mounted a huge campaign to re-conquer Normandy, but was badly defeated at the Battle of Bouvines (1214). John was forced to pay the huge sum of 20,000 marks and concede some lands in France in order for King Philip to recognise him as the heir to Richard I.

The decision of President George Washington to use the state militia to put down the whisky Rebellion in 1794 demonstrated that the-

Answers

Answer:

hi am nice

Explanation:

Which countries/regions did Japan conquer between 1894 and 1940?

Answers

Answer:

Taiwan (1902)

Korea (1910)

German islands located in the pacific region of Manchuria

Parts/regions of China

Frenchindo (China)

Explanation:

Fiscal policy is how a government chooses to increase and decrease

Answers

Please give me brainlist

Explanation:

the use of fiscal policy to expand the economy by increasing aggregate demand, which leads to increased output, decreased unemployment, and a higher price level. Expansionary fiscal policy is used to fix recessions.

POSSIBLE PO
The opportunity to make a profit
drives people to put their money at
risk.
Producers determine the
supply, or availability, of a
product.
Consumers determine the
demand for a product.
The features described in the above boxes best describe what type of economy?
o socialist economy
o free enterprise economy
o communist economy

Answers

Answer:

B) Free enterprise economy

Explanation:

A free enterprise economy(Also known as capitalism) is driven by consumers and producers and their desire to buy good products and make money respectively. In the other two economies, supply and demand are controlled by the government.

Which statements best describe signs of credible sources? Select three options.

Answers

Answer:

That's why it's of utmost importance to make sure that you're using the right websites for your research, with government and educational websites generally being the most reliable. Credible sources for research include: science.gov, The World Factbook, US Census Bureau, UK Statistics, and Encyclopedia

Answer:

C) The website design is of professional quality.

D) The date is current or appropriate to the topic.

E) The author has valid credentials related to the topic." is correct

Explanation: pls leave 5 star and like UwU TYYYYYYYY

25. Explain the primary factors (main causes that contributed to the decline and fall of the Roman Empire.​

Answers

Answer:

In conclusion, the Roman empire fell for many reasons, but the 5 main ones were invasions by Barbarian tribes, Economic troubles, and overreliance on slave labor, Overexpansion and Military Spending, and Government corruption and political instability

Explanation:

What a was The name of the final attack of the allies that helped in the World War I

Answers

the battle of the amiens was an allied victory that helped bring an end to world war 1

What purpose is PRIMARILY served by including examples of writers who were inspired by the ancient Romans?
(A) They illustrate the connection between ancient Romans' ideas and those of writers commonly studied
today.
(B) They emphasize the importance of the ancient Romans as the main characters in most modern plays
and movies.
(C) They demonstrate the way that Roman philosophy and scholarship changed and developed over time.
(D) They highlight the lasting effects of Roman writers on various cultures that were once part of the empire.

Answers

Answer: (B) They emphasize the importance of the ancient Romans as the main characters in most modern plays

and movies.

Explanation:

True or false?

The Irish Famine was deemed by priests to be too controversial to discuss and people in Belfast, refusing to acknowledge it, have banned any public images that would remind people of that traumatic event.

Answers

It is true also u could have just looked this up lol

Density is the amount of mass in a given volume of material.

True
False

Answers

Answer:

true

Explanation:

read answer

Answer:

true

Explanation:

hope this Helped you out

Other Questions
1. In. Your own words What is Credit?2. Why is your credit score important?3. What important things in your future could be affected by credit scores? Give 3 examples? help pls! *: .. .. :* Can someone help me with this question? !!20 Points and brainliest if you answer it!!A group of students were surveyed regarding their enjoyment of country and Jazz music. 8 students enjoyed both types of music, glving a total of 32 students who enjoyed country music, and 14 who enjoyed Jazz. How many total students were questioned in this survey?A. 54B. 38C. 26D. 46 Which of the following is a function of proteins?(2 points)repairs body tissuespeeds up chemical reactionsprevents infections & illnessall of the above What is the highest part of the Judiciary Branch of our government?A. Supreme CourtB. Juvenile CourtC. Small Claims CourtD. the Peoples Court Find the point where the lines intersect: y = 3x and y = x + 16A: (8,24)B: (4,12)C: (4,20)D: (0,0) Simplify 8+5h-2+h-10+3h 1. Fred bought 7 new baseball trading cards toadd to his collection. The nextday his dog ate half of his collection. There arenow only 38 cards left.How many cards did Fred start with ? Which text provides the more effective argument? Include details about the appeals and structures of the two texts to support your position Select True or False for the following statements about electromagnetic waves. A vertical automobile antenna is sensitive to electric fields polarized horizontally. Ultraviolet radiation causes common sunburn. Radio waves travel in vacuum at a lower speed than the visible light. The sun's radiation is most intense in the visible region. Gamma rays can be produced in transitions of an atomic nucleus from one state to another. Radio waves have wavelengths longer than 1 m. X-rays travel in vacuum at a higher speed than the visible light. please help me! it's late and my gf will get mad if I'm awake for any longer Somebody pls!! Write the equation of the line in fully simplified slope-intercept form. A builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. What is the average size of the lots? What is the coefficient of the term in x in the following algebraic expressions?a.2x - 7b.x/2 - 10c.- x + 7d.x + 7e.- x / 4 How many square feet of outdoor campot will we need for this hole? Can you prove the figure is a parallelogram based on the given information? Explain. Stalinism (Communism)Who has control of the government? Extraversion, neuroticism, and psychoticism are three higher-order traits that make up Eysencks higher-order traits.Please select the best answer from the choices providedTF I love people praising me. (into passive voice)Someone hit on her head. (into yes/no questions