I have 120 blocks. Each block is one of 2 different materials, 3 different colors, 4 different sizes and 5 different shapes. No two blocks have exactly the same all four properties. I take two blocks at random. What is the probability that these two blocks have exactly two of these four properties the same?

Answers

Answer 1

Answer: 0.54

Step-by-step explanatio;

We would have three in common out of 4 characteristics (4 out of 4 is not possible). There are 4 possible ways to share 3 out of 4 characteristics.

Denoting the characteristics as {M,C,Si,Sh} so P(B2={1,1,1,0}|B1={1,1,1,0}) is the probability that box 2 shares its first three characteristics with box 1 given that box one has characteristics

We now have

P(B2 has 3 elements in common with B1)=P(B2={1,1,1,0}|B1={1,1,1,0})xP(B1={1,1,1,0})+P(B2={1,1,0,1}|B1={1,1,0,1})xP(B1={1,1,0,1})+P(B2={1,0,1,1}|B1={1,0,1,1})xP(B1={1,0,1,1})+P(B2={0,1,1,1}|B1={0,1,1,1})xP(B1={0,1,1,1})

P(B2 has 3 elements in common with B1)=(4x5x24+3x4x30+2x3x40+1x2x60)1120x119= 0.084

which is close enough to the value from the simulation code (modified to count the number of 3-ties)

Now, I use the same reasoning to compute:

P(B2 has 2 or more elements in common with B1)=(19x20x6+11x12x10+9x10x12+14x15x8+7x8x15+5x6x20)1120x119= 0.54

Answer 2

Equation: (2-1)((3-1)+(4-1)+(5-1)) + (2)((3)+(4)) + (12) = 35 with a total of 119 possibilities.

answer: 35/119


Related Questions

The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor. NEEED HELP PLZ :(

A 3x + 82 = 22
B 3x + 22 = 82
C 3x − 22 = 82
D 3x − 82 = 22

Answers

B.3x+22=82 is the correct answer

Answer:

I think option 2 is correct

3x+22=82

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0.1254 is rational or irrational ?

Answers

Answer:

Rational

Step-by-step explanation:

You can write it as a ratio of a/b

Answer:

Irrational

Step-by-step explanation:

Irrational- anything that can be written as a decimal.

Rational- anything that can be written as a fraction.

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Explain how to use the distributive property to find the product 3 x 4 1/5

Answers

Answer:

12.6

Step-by-step explanation:

The answer is 12.6 and here is the explanation of using the Distributive Property. Because we are multiplying a whole number by a mixed number, we have to multiply the whole number by the whole number in the mixed number and then multiply the whole number by the fraction. In this case, we have 3 x 4 1/5. We multiply 3x4=12 first, and then we multiply 3x1/5 to get 0.6. 12+0.6=12.6. Hope it helps!

The product of  3 x [tex]4\frac{1}{5}[/tex] is 12.6.

What is Number system?

A number system is defined as a system of writing to express numbers.

The distributive property tells us how to solve expressions in the form of a(b + c).

The given expression is  3 x [tex]4\frac{1}{5}[/tex]

This expression can be written as 3(4+1/5)

The value of 1/5 is 0.2

3(4+0.2)

Now add 4 and 0.2

3(4.2)

Now multiply 3 and 4.2

12.6

Hence, the product of  3 x [tex]4\frac{1}{5}[/tex] is 12.6.

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Jocelyn wants to buy a pair of Jordan's that usually cost $160. The store is having a sale and all merchandise is discounted by 25%. What is the price of these Air Jordan after Jocelyn pays 7.5% sales tax?

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Answers

Answer:

c i think sorry if im wrong

Step-by-step explanation:

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Answers

Answer:

y=3/5-3

Step-by-step explanation:

Is this Kumon LOL?

y=mx+b

y=3/5x+b

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Answers

Answer:

$8.44

Step-by-step explanation[tex]10+(-1.56)=8.44[/tex]

Answer:

$8.44

Step-by-step explanation:

There is -$1.56 in your account already.

You add $10 to that amount

-$1.56+$10 = $8.44

The point where the graph intersects the y-axis represents the beginning of the

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Answer:

the origin

Step-by-step explanation:

A coordinate grid has two perpendicular lines, or axes, labeled like number lines. The horizontal axis is called the x-axis. The vertical axis is called the y-axis. The point where the x-axis and y-axis intersect is called the origin.

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Answer:

Neither

Step-by-step explanation:

They need a 90°angle to be perpendicular.

And it has to not be touching to be parallel.

What is the Triangle inequality theorem?

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Answer:

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

Step-by-step explanation:

Answer:

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

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Find the distance between the points (5, - 2) and (1, 1) *

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Answer:

Distance between given points (5,-2) and (1, 1) is 5 units.

Step-by-step explanation:

distance between points ( x1 , y2) and (x2 , y2) is [tex]\sqrt{(x2 -x1) ^{2} + (y2-y1)^{2}[/tex]

Answer:

Distance between given points (5,-2) and (1, 1) is 5

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Solve the literal equation below for
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Answer:

4/5 + p/5

Step-by-step explanation:

IM STUCK i need help WITH THIS PROBLEM THE NUMBER 4 will give brainly

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Answer:

Ok say your social life is on that scale, Now the moment you walk into school your life is A which means it hasn't made it anywhere..now as you progress your love life goes up and becomes a B soon you grow popular and hit C as your results sky rocket..suddenly something you do affects that maybe a bad grade or something you did to someone then your social life drops dramatically to a D and soon crumbling to an E.

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Step-by-step explanation:

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Answers

Answer:

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This is the answer

John and two friends are going out for pizza for lunch. They split one pizza and three large drinks. The pizza cost $12. They spend a total of $16.95. Find the cost of one large drink.

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Answer:

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Step-by-step explanation:

16.95-12=4.95

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Step-by-step explanation:

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what is the likelihood of throwing a 4 with a single throw of adie​

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Answer:

1/6.

Step-by-step explanation:

As there are 6 sides to a die than answer is 1/6.

The answer is 1/6

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What is the distance between the points (19,-9) and (-5,-2)?

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Answer:

look at image attached, hope this helps :)

9 - 6(x+1) = 2(x-4) + 27

Answers

Hey :)

1) Use the distributive property to multiply −6 by x + 1

9−6x −6 = 2(x−4) +27

2) Subtract 6 from 9 to get 3

3−6x =2(x−4) +27

3) Use the distributive property to multiply 2 by x−4

3−6x =2x−8 +27

4) Add −8 and 27 to get 19

3−6x = 2x +19

5) Subtract 2x from both sides

3−6x −2x = 19

6) Combine −6x and −2x to get −8x

3−8x = 19

7) Subtract 3 from both sides

−8x= 19−3

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Answer:

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Mixed number form: 6 1/4

Step-by-step explanation:

8-7i/4i

Cancel the common factor of  i

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Answers

Answer:

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Step-by-step explanation:

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Hope this helped!

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Answers

Answer:

ohms

Step-by-step explanation:

Resistance is measured in units called ohms (symbol: Ω).

What is resistance?

Resistance is a property of an electrical component that resists the flow of electric current through it.

We have,

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Resistance is an important concept in electrical engineering and physics, as it is a fundamental property of electrical circuits and components.

Thus,

Resistance is measured in units called ohms (symbol: Ω).

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5 - 2y + 1/3 + y^3 - 10y for y = 4
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Answers

Answer:

4

Step-by-step explanation:

i think i am correct but if im not sorry

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

what is resistance in a circuit when the current is 0.5 ampere

Answers

Answer:

R=12/0.5 - 24 ohms

Step-by-step explanation:

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