Marcus and his brother always argue about who will walk the dog. Their father wants to find a random way of deciding who will do the job. He invented a game to help them decide. Each boy will have a bag with three colored blocks in it: one yellow, one green, and one white. Each night before dinner, each boy draws a block out of his bag. If the colors match, Marcus walks the dog. If the two colors do not match, his brother walks the dog. Marcus's father wants to be sure that the game is fair. a. Make a probability tree of all of the possible combinations of draws that Marcus and his brother could make. How many possibilities are there? b. What is the probability that the boys will draw matching blocks?

Answers

Answer 1

By studying the experiment, we will see that:

a) There are 9 possible outcomes (listed in the answer) all with the same probability.

b) The probability of drawing matching blocks is 1/3.

How to know if the game is fair?

The game is fair if and only if the two outcomes have the same probability.

Here the two outcomes that we care for are:

The colors match.The colors do not match.

a) First, in each bag all the blocks have the same probability of being drawn, which is 1/3.

Then each combination will have the same probability, which is:

p = (1/3)*(1/3) = 1/9.

Now, the possible combinations of colors are given by the table:

Marcus    Brother    probability

yellow      yellow            1/9

yellow      green             1/9

yellow      white              1/9

white       yellow            1/9

white       green             1/9

white       white              1/9

green     yellow            1/9

green     green             1/9

green     white              1/9

b) The probability that the boys draw matching blocks is given by the sum between the probabilities that they draw 2 yellow blocks, 2 green blocks, and 2 white blocks, this is:

P = 1/9 + 1/9 + 1/9 = 1/3.

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Related Questions

What is the chemical equation of the boiling of water?.

Answers

Answer:

Boiling of pure water is not a chemical reaction.

It is a physical change from liquid state to gaseous state.

Explanation:

What is the difference between a solvent molecule and a non polar solvent?

Answers

Answer:

Polar molecules occur when there is an electronegativity difference between the bonded atoms. Nonpolar molecules occur when electrons are shared equal between atoms of a diatomic molecule or when polar bonds in a larger molecule cancel each other out. Polar solvents have large dipole moments (aka “partial charges”); they contain bonds between atoms with very different electronegativities, such as oxygen and hydrogen. Non polar solvents contain bonds between atoms with similar electronegativities, such as carbon and hydrogen (think hydrocarbons, such as gasoline).

Hope this helps, please let me know If I'm wrong.

Explain the three processes of nuclear change and what is produced during as a result of that change PLS HELP

Answers

Answer:

I don't know how to do right now

can use greenhouse gases or wasted heat or by-products as input for process to generate any form of energy (in simple way in small scale as a prototype)​

Answers

THE ANSWER IS YESHOPE THIS HELPS

What did John Dalton theorize?

Answers

Answer:

Dalton theorized that the law of conservation of mass and the law of definite proportions could be explained using the idea of atoms. He proposed that all matter is made of tiny indivisible particles called atoms, which he imagined as "solid, massy, hard, impenetrable, movable particles.

Explanation:

When 0.25 g of the organic compound naphthalene are burned in a bomb calorimeter, the temperature of the water in the
calorimeter increases from 24.00°C to 26.43 °C. The calorimeter's heat capacity is 4.13 kJ/°C. How much heat (9rxn) in kilojoules is
released by the combustion of the naphthalene?

Answers

The heat released by the combustion of the naphthalene is mathematically given as

H=2.508975 KJ

What is heat released?

Question Parameters:

0.25 g of the organic compound naphthalene

The calorimeter increases from 24.00°C to 26.43 °C.

The calorimeter's heat capacity is 4.13 kJ/°C

Generally, the equation for the  Heat released  is mathematically given as

H = mCdT

Therefore

H= mC ( T2 - T1)

H= 0.25*4.13  ( 26.43- 24)

H= 2.508975 KJ

In conclusion, the heat released by the combustion of the naphthalene is

H=2.508975 KJ

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Is Fahrenheit used in England for the temperature at all?.

Answers

Answer:

No, i don't believe so, Fahrenheit is one of those thinks America did like ft. and inches.

Explanation:

Which statement correctly describes what happens to Li and Cl atoms when they bond? a . Li loses 1 valence electron and becomes a negative ion, Cl gains 1 valence electron and becomes a positive ion . b. loses 1 valence electron and becomes a positive ion, gains 1 valence electron and becomes a negative ion. . Li gains 1 valence electron and becomes a negative ion, loses 1 valence electron and becomes a positive ion. d . Li gains 1 valence electron and becomes a positive ion, loses 1 valence electron and becomes a negative ion.

Answers

Taking into account the definition of ionic bond, Li loses 1 valence electron and becomes a positive ion and Cl gains 1 valence electron and becomes a negative ion.

Definition of ionic bond

An ionic bond is a type of chemical bond that occurs when one atom gives up an electron to the other, in order for both to achieve electronic stability.

This union normally occurs between metal and nonmetal elements with different electronegativity, which means that the elements have different capacity to attract electrons.

In other words, an ionic bond is produced between metallic and non-metallic atoms, where electrons are completely transferred from one atom to another. During this process, one atom loses electrons and another one gains them, forming ions. Usually, the metal gives up its electrons forming a cation to the nonmetal element, which forms an anion.

Bond between Li and Cl

Li is a metal, while Cl is a nonmetal. Considering the definition of ionic bond, the Li gives up its electrons forming a cation to the Cl, which forms an anion.

In summary, Li loses 1 valence electron and becomes a positive ion and Cl gains 1 valence electron and becomes a negative ion.

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Is it possible to replace our dependency on fossil fuels with alternative renewable energy's?

Answers

Answer:

yes, coal for example produces energy by burning but there are several alternatives such as water or solar which are 2 growing energy sources.

Explanation:

hope this helps!

Dental crown: Uranium-234 is used to make dental crowns appear brighter. The alpha decay of uranium-234 produces what isotope?

Answers

Answer:

Lithium has two naturally occurring isotopes. Lithium-6 has an atomic mass of 6.015 amu. Lithium-7 has an atomic mass of 7.016 amu. The average atomic mass of lithium is 6.941 amu.

Explanation:

What is the molarity of 0. 0688 g CoF2 in 20. 0 mL of solution?

Answers

Answer: 0.035 M

Explanation:

For the balanced equation shown below, how many moles of CO2 will react with 0.708 moles of H2O.
3CO2 + 4H2O --> C3H8 + 5O2

** im pretty sure it needs to be rounded to the tenth

Answers

Answer:

0.5 moles of CO2 will react with 0.708 moles of H2O.

Explanation:

[tex]\sf balanced \ equation = 3CO2 + 4H2O \rightarrow C3H8 + 5O2[/tex]

0.708 moles of H2O

using molar ratio:

4H2O : 3CO2

4 : 3

so H2O moles:

[tex]\sf\dfrac{0.708}{4} *3[/tex]

[tex]\sf 0.531[/tex] moles of CO2

1. Would a small atom (less than 40 protons) be found in nature if it has the same number of protons and neutrons (1:1 ratio)? Explain.
2. Would a large atom (more than 40 protons) be found in nature if it had the same number of protons and neutrons? Explain.

Answers

Answer:

1.Yes, it would be found in nature, 1:1 ratio of proton=neutron.

2.No, since it is more likely for atoms with an atomic number greater than 50 to have a 1.5:1 ratio.

Explanation:

hope this helps

The correct answers are:

1. Yes, it would be found in nature, 1:1 ratio of proton=neutron.

2. No, since it is more likely for atoms with an atomic number greater than 50 to have a 1.5:1 ratio.

Would a large atom (more than 60 protons) be found in nature if it has the same number of protons and neutrons?

No, since it is more likely for atoms with an atomic number greater than 50 to have a 1.5:1 ratio.

Why is the neutron to proton ratio so important?

The ratio of neutrons to protons (n/p) is a successful way of predicting nuclear stability. This ratio is close to 1 for atoms of elements with low atomic numbers (of less than about 20 protons). The n/p ratio steadily increases as the atomic number increases past element 20 (calcium) to about element 84 (polonium).

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Balance the equation:
GC2MmCh2


the 2 is a subscript (small)

Answers

Answer:

2 Gc + 1 Mm + 3 Ch → 1 Gc2MmCh3

Note:

is this the s'more reaction?

-If not might there be a typo?

- if so, might it be one of these?

2 Gc + M + 2C → Gc2MC22 Gc + Mm + 3C → Gc2MmC3

I will give BRAINLIEST. 1. A spiderweb and a Kevlar jacket have some obvious differences. Which property is similar between the web and the jacket?
- surface area
- thickness, expressed as a number of atoms
- overall strength
- arrangement of atoms in molecules
2. Assuming silk from spiderwebs could be made just as strong as Kevlar, why would a company still choose to use Kevlar in producing bulletproof fabrics?
- A much larger amount of silk might be needed to produce the same effect.
- Spiderweb silk would likely be rejected by the body.
- The cost might be higher for producing spiderweb silk.
- Spiderweb silk likely involves more chemicals.
3. Which microscopic detail affects the strength of different forms of silk?
- Different silk strands are made with different types of atoms.
- Different types of silk are in long strands or in other very different arrangements.
- Different silk strands have different combinations of amino acids.
- Different types of silk do not have the same strength if they come from different sources.
4. Which type silk is the strongest?
- nonbiodegradable
- minor ampullate
- major ampullate
- biodegradable
5. Which natural source has been bioengineered to make silk proteins?
- mulberry leaves
- goat milk
- goat hair
- mulberry bark

Answers

Answer:

.arrangement of atoms in molecules

.A much larger amount of silk might be needed to produce the same effect.

- Different silk strands have different combinations of amino acids.

.major ampullate

.goat milk

A solution has a pH of 4. 20. Using the relationship between pH and pOH, what is the concentration of OH−? A. 9. 9 × 10-1 M B. 6. 2 × 10-1 M C. 6. 3 × 10-5 M D. 6. 7 × 10-6 M E. 1. 6 × 10-10 M.

Answers

1.6 x 10⁻¹⁰ M is the concentration of OH− ion of the solution has a pH of 4.20.

How we calculate the pH of any solution?

pH of any solution is define as the negative logarithm of the concentration of hydrogen ions i.e. pH = -log[H⁺].

Equation of pH will be written in the form of base 10 by removing the log as:

[H⁺] = [tex]10^{-pH}[/tex]

Given value of pH is 4.20 and concentration of H⁺ ions will be calculated as:

[H⁺] = 10⁻⁴°²⁰

[H⁺] = 6.3 × 10⁻⁵

Now the relation between pH & pOH in term of base 10 is:

[H⁺][OH⁻] = 10⁻¹⁴

[OH⁻] = 10⁻¹⁴ / [H⁺]

[OH⁻] = 10⁻¹⁴ / 6.3 × 10⁻⁵ = 1.6 x 10⁻¹⁰ M

Hence, option (E) is correct i.e. 1.6 x 10⁻¹⁰ M.

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how can we use models to classify states of matter and the changes it undergoes

Answers

Answer:

Matter can exist in one of three main states: solid, liquid, or gas.

Solid matter is composed of tightly packed particles.

Liquid matter is made of more loosely packed particles.

Gaseous matter is composed of particles packed so loosely that it has neither a defined shape nor a defined volume.

Explanation:


Sodium metal reacts with aqueous magnesium sulfate to form sodium sulfate solution and
magnesium metal

Answers

Answer:

Na(s) + MgSO4(aq) -> Na2SO4(aq) + Mg(s)

Explanation:

Sodium metal reacts easily with magnesium sulfate to form sodium sulfate solution and magnesium metal as per the equation written below:

[tex]\rm 2Na + MgSO_{4} \rightarrow Na_{2}SO_{4} + Mg[/tex].

What is magnesium sulphate?

Magnesium sulphate is an inorganic salt formed by magnesium metal and other sulphate compounds. The valency of both magnesium and sulphate group is 2.

Magnesium metal donates two electrons to the sulphate group and forms compound MgSO₄. When magnesium sulphate reacts with sodium metal the sulphate group is replaced into the sodium metal thus it is an example of displacement reaction.

The valency of sodium is one and hence two moles of sodium metal reacts with one mole of magnesium sulphate and the balanced reaction is written as follows:

[tex]\rm 2Na + MgSO_{4} \rightarrow Na_{2}SO_{4} + Mg[/tex].

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why is it suggested to use soap to a person suffering from bee or ant bite?​

Answers

ANSWER

Because the ant bite or bee bite contains acid which gets neutralized by the base in the soap.

Thanks Hope it helps
Answer:

=》It's suggested to use soap to a person suffering from bee or ant bite because bee stings / ant bites contain acids.

=》Since soap is a base, when we apply soap to the sting / bite, neutralisation reaction will take place & the pain will soothe off.


■ Neutralization Reaction:
Acid + Base = Salt + Water




Hope it helps ⚜

The primary goal of water-softening ion exchange systems is

A) removing magnesium and calcium from water.
B) introducing sodium into water.
C) removing sodium from water.
D) introducing magnesium and calcium into water.

Answers

The primary goal of water-softening ion exchange systems is to remove calcium and magnesium from water.

Water-softening

Water-softening process involves ion exchange system, this process removes the chemical elements that makes water hard

The purpose of this ion exchange is to reduce calcium and magnesium content of hard water.

Thus, the primary goal of water-softening ion exchange systems is to remove calcium and magnesium from water.

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Designing a Chemical System Quick Check

1. removing magnesium and calcium from water.

2. Untreated water is subjected to high pressure, causing it to move through a semi-permeable membrane, which captures contaminants.

3. An ion exchange system would likely be chosen because it does not require specialized maintenance or regular replacement of components.

4. They are likely to choose reverse osmosis because it addresses a wider range of problems, including bacteria.

5. This treatment removes bacteria, but not other pollutants.

The symbol of the element with an atomic mass of 207. 2.

Answers

Answer:

Polonium-207

………………………

Please brainliest me i am begging you

What substance would be soluble in water?

A - NH3 because it’s polar

B - BR2 because it’s non polar

C - H2 because it’s polar

D - CO2 because it’s non polar

Answers

Answer:

A

Explanation:

Since water is polar, we need for there to be a polar solute. This eliminates options B and D.

Now to choose between A and C, we can look at the compounds mentioned.

For A, NH3 is mentioned, which is a polar substance.

However, for C, H2 is mentioned, which is a nonpolar molecule, contrary to what is stated by the option.

Therefore, A is the answer.

Which of the following statements about recycling electronic waste is true?

Exporting electronic waste is part of a safe recycling process.


Electronic waste is recycled using the same process as plastic and metal.


Over 60 percent of electronics waste worldwide is recycled safely.

Minerals can be extracted from recycled electronics.

Answers

Answer:

minerals can be extracted from recycled electronics

Explanation:

The which is true about electronic waste is minerals can be extracted from recycled electronics.

What is electronic waste?

The waste which are the residue of the electrical devices which we used in our daily life is known as electronic waste.

In the electrical devices many metals and non metals are present and when we recycle this electrical waste then again we get that useful materials from the waste in the form of minerals, because all that metals, non metals or any other element will get in combined form.

Hence, option (d) is correct.

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Why is degrees used in measuring angles and temperature?.

Answers

By definition, when you divide a full rotation into 360 parts, a degree is the angle spanned by one of those parts. In contrast, on the temperature scale, a “degree” is the temperature “step” you get when you divide the temperature difference between the freezing and boiling points of water into 100 equal parts.

A student is extracting caffeine from water with dichloromethane. The K value is 4.2. If the student starts with a total of 30 mg of caffeine in 2 mL of water and extracts twice with 2 mL of dichloromethane, how much caffeine will be in the dichloromethane extract

Answers

Answer:

787.5 is a transversal of lines I and m that forms 8 angles and the other way around the world health organization and the other one is a transversal of lines I and m that forms 8 angles and the other things that you can see in the picture of with the first term 8 and a common ratio of the following values would be a little different to the one you have the

What is the difference between heterochromatin and euchromatin.

Answers

Answer:

The main difference between the two is euchromatin is genetically active while heterochromatin is genetically inactive

Answer:

Heterochromatin is the part of the chromosome without DNA coding genes and Euchromatin is the part of the chromosome with coding genes.

Explanation:

Euchormatin is the part of the chromosome which is rich with gene concentration and participates in the transition process. Heterochromatin is th area with a darkly stained DNA specific strand and is a condensed state.

When boiling water, is it best to use cold or hot water?.

Answers

Answer:

Use cold water instead of hot for cooking: hot water will contain more dissolved minerals from your pipes, which can give your food an off-flavor, particularly if you reduce the water a lot. Water that's been frozen or previously boiled will boil faster.

Explanation:

What two processes are necessary to make oil quizziz.

Answers

Answer: organic matter and salt water. heat and pressure. erosion and deposition.

Explanation: Hope this helps ;)

What other aspects of a catalyzed reaction are different from the uncatalyzed reaction?.

Answers

Answer:

less activation energy

Based on the oxidation states of the atoms in this reaction, answer the questions. 4Fe(0) 3O2(0) → 2Fe2(3 )O3(2-) How many electrons does the iron half-reaction lose? How many electrons does the oxygen half-reaction gain? What is the total number of electrons that are moved in this oxidation-reduction reaction?

Answers

Answer:

12, 12, 12, edge 2022!

Explanation:

Answer:

How many electrons does the iron half-reaction lose? 12

How many electrons does the oxygen half-reaction gain? 12

What is the total number of electrons that are moved in this oxidation-reduction reaction? 12

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