A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?

Answers

Answer 1

The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.

What is probability ?

Probability of something is the occurrence of a certain event out of the total events that can occur.

According to the given question

The total no. of chocolates in the box is

(5 + 5+ 5) = 15 chocolates.

The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.

There are 5 milk chocolates.

So, probability of getting a milk chocolate first is

P(mc) = 5/15

= 1/3

Now the the chocolate can no be replaced because it is eaten

Probability of getting a dark chocolate second is

P(dc) = 5/14                          (as the total no. of chocolate is reduced by 1

                                                                    because it has been eaten)  

And the probability of getting a white chocolate in 3rd attempt is

P(wc) = 5/13

As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is

P(mc) ∩ P(dc) ∩ P(wc)

= P(mc) × P(dc) × P(wc)

= (1/3 × 5/14 × 5/13)

= 25/546.

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Related Questions

Which expression is equivalent to 5/2 (2x+1)​

Answers

Answer: 5x + 5/2

Step-by-step explanation:

The two triangles shown are congruent by the SAS Theorem Which statements, when combined, describe a sequence
of rigid motions which maps AABC to AEDF?

Answers

Answer: It is B, C, E

B- a tra asian between the two figures maps <c to <f

C- Air rotation mapping CB to FD and <B to <D

E- A reflection across CB mapping AC to EF, and <A to <E

Step-by-step explanation:

The rigid motion that verifies the triangles are congruent by SAS is reflection.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

we know that,

The angle of reflection simply means the angle that's formed between the normal ray and the reflected ray. It's the line that's perpendicular to the resulting surface at the point of incidence.

According to the law of reflection, the angle of reflection must be equal to the angle of incidence. Therefore, the rigid motion that verifies the triangles are congruent by SAS is reflection.

Hence, The rigid motion that verifies the triangles are congruent by SAS is reflection.

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Q
+
O
Write the equation of an absolute
value function that is reflected
across the x-axis, shifted 5 units to
the left, and vertically stretched by
7.

Answers

Answer:

Q + O equals œ

Step-by-step explanation:

Question is in the Screenshot, Brainliest if answered and correct!! Plz.

Answers

Answer:

answer is 64

Step-by-step explanation:

1. Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?

2. A marketing manager wants to package 48 promotional items into 1 supervalue pack and 10 smaller promotional packs. He uses 8 items for the supervalue pack and equally divides the rest into the smaller packs. How many items will be in each of the smaller packs?

3. For an art project, Corinne and Amelia want to combine their colored pens and distribute them equally among 12 first graders. If Corinne has 84 colored pens and Amelia has 72 colored pens, how many pens does each first grader get?

4. Lynn paid $12.21 for ribbon. The cost per yard was $1.48. How many yards did she get?

5. Find the quotient of 72.86 ÷ 7.1. Round to the nearest hundredth.

6. Kelly has 17.8 oz of dough. How many circles of dough can she cut that are 3.9 oz each? Round to the nearest hundredth.

7.What is 64 ÷ 4.7? Round to the nearest hundredth.

Answers

Answer: For number 1 its 125

Number 2 is 4 items , Number 3 is 13 pens

Step-by-step explanation:

The Tran family is bringing 15 packages of cheese to a group picnic. Cheese slices cost $ 2.50 per package. Cheese cubes cost $ 1.75 per package. The Tran family spent a total of $ 30 on cheese. How many packages of each type of cheese did the Tran family buy?

Answers

Answer:

cubes.

Step-by-step explanation:

17 cbes I think. not 100% tho

Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1

Answers

Answer:

-5x+4

Remainder: x^2+5x-3

Step-by-step explanation:

I hope this is helpful

Ellas __________ una familia grande.

Your answer:

tiene


tenemos


tienes


tienen


please help

Answers

Answer:

Tienen

Step-by-step explanation:

I don't know how to explain it whatsover but Ellos/Ellas/Ustedes end with an en

tienen because it’s in the Ellos and Uds. Family

The population growth of two towns over a period of five years is represented by the system of equations below, both algebraically and graphically D IS (10,4) it didn’t show up so

Answers

Answer:

(4, 10)

Step-by-step explanation:

Hope this helps

The solution to the system of equations is the ordered pair in option B. (4, 10).

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Population growth of two towns over a period of five years is represented by the system of equations :

y = x + 6

y = 2x + 2

Here y represents the population growth and x represents the number of years.

Solution of the system of equations is the point where the graph of both equations intersect.

Intersecting point is (4, 10).

Algebraically, we can solve this as,

We have y =  x + 6 and y = 2x + 2.

x + 6 = 2x + 2

x - 2x = 2 - 6

x = 4

y = x + 6 = 4 + 6 = 10

So (x, y) = (4, 10)

Hence the solution to the system of equations  y =  x + 6 and y = 2x + 2 is the point (4, 10).

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If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

since 5 is less than or equal to 5, you input it into the middle equation.

x=5

so 5 is the answer!

please help mee dont wanna fail

Answers

Answer:

I'm not sure what X is but I am pretty sure the PAW angle is the same as -1x+43. Dont count me on it though...

Step-by-step explanation:

Find JK if KF= 1 *No A-D options(write the answer)

Answers

Answer:

The length of JF = 3

Step-by-step explanation:

We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.

Thus,

For the given triangle ΔHIJ,

Point K is the centroid of the triangle.

We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.

In our case,

The median JF is split into two parts such that the longer part JK is 2 times the length of the smaller part KF.

In other words,

JF = KF + JK

Given KF = 1

Also, the longer part JK is 2 times the length of the smaller part KF.

i.e.

JK = 2 KF

JK = 2(1)         ∵ KF = 1

JK = 2

Thus, substituting KF = 1 and JK = 2 in JF = KF + JK

JF = KF + JK

JF = 1 + 2

JF = 3

Therefore, the length of JF = 3

A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall, as shown below.
What is the closest distance from the top of the ladder to the base of the wall?

Answers

Answer:

we will do this lesson in our class day after tomorrow

Step-by-step explanation:

well I don't know the answer

How many neutrons does Chlorine-38 have if the isotope has a mass is 38?

Answers

Answer:

The answer is either 21 or 22

Step-by-step explanation:

good luck! have a great day! :)

Write an inequality to represent the graph.
y ≥ 2x + 4
y > 2x + 4
y 4x + 2

Answers

Answer:

y ≥ 2x + 4

Step-by-step explanation:

Which relation is a function?
o {(-4,5), (0, 2), (2,5)}
o {(2,5), (2, 6), (2, 7)}
O {(3, 2), (5, 7), (3,-2)}
O {(4,3), (4,4),(4,5)}

Answers

Answer:

Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!

Step-by-step explanation:

~To find a function look at the x values, if the x values don't repeat then it is a function~

Hello there! The answer is A!

There are 272 people in an audience. The ratio of adults to children is 5 : 3. How many are children?

Answers

Answer:

alot

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio of adults being 5:3 means that you should first divide the audience into 8 sections. You get 18. Now, you can multiply 18 by 5 to find out how many adults there are, since 5 means quantity of adults.

There are 90 adults

Which is greater, 0.9 or 95%?

Answers

Answer:

depends on context, 95% of what number? But in general it would be 95% because 0.9= 90%

Step-by-step explanation:

95% because 0.9% is just 0.90

Find each function value 1. f(2) if f(x) = x + 4

Answers

Answer:

The function value would be 6

Step-by-step explanation:

If f(2) then....

f(x) = x + 4

f(2) = 2 + 4

f(2) = 6

f(2) in f(x)=x+4

f(2)=2+4

f(2)=6

the perimeter of a rectangle is 36 feet. the length is 2 less than 3 times the width. what is the length? what is the width?

Answers

Answer:

The width is 102

Step-by-step explanation:

Hope this helps! :)

The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. Find the length of the other leg.
a.12 √5 cm
b.✓ 10 cm
c.20 cm

Answers

Use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 15^2 = 25^2

a^2 + 225 = 625

a^2 = 400

a = 20

Answer: 20 cm

Hope this helps!!

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What is the length of the altitude of the equilateral triangle below?

Answers

Answer:

Step-by-step explanation:

It would be helpful if you could share the diagram of the equilateral triangle.

All 3 sides are equal, as are all 3 angles.

The altitude is perpendicular to the base.  The altitude, h, is equal to

h = s*( (√3) / 2, where s is the length of one side of the triangle.

PlZZZZZZZZZ HELP URGENTTTTTTTTTt

Answers

The solutions are 0 and 2

Aka the roots or x-intercepts of the parabola
the answer is 0 and 2 hope this helps

aljabra.
[tex]x \div 12 - 3x - 1 \div 8 = 1[/tex]

Answers

Answer: -27/70

Step-by-step explanation:

x ÷ 12 − 3x − 1 ÷ 8 = 1

Simplify x ÷ 12 − 3x − 1 ÷ 8.

  Rewrite the division as a fraction.

        x /12 − 3x − 1 ÷ 8 = 1

   Rewrite the division as a fraction.

        x/12− 3x − 1/8 = 1

  To write −3x as a fraction with a common denominator, multiply by  12/ 12

        x/12− 3x ⋅ 12/12 − 1/8 = 1

  Simplify terms.

   Combine −3x and  12/12

        x /12−3x ⋅ 12/12 − 1/8  = 1  

  Combine the numerators over the common denominator.

        (x − 3x ⋅ 12/12) − (1/8)  = 1

  Simplify the numerator.

        (x ⋅ −35/12) -(1/1) =  1

  Move −35 to the left of x.

        −(35 ⋅ x/12) -(1 /8) = 1

   Move the negative in front of the fraction.

        -(35x/12) −(1/8) = 1

Move all terms not containing x to the right side of the equation.

  Add 1/8 to both sides of the equation.

        -(35x/12) = 1 + (1/8)

  Write 1 as a fraction with a common denominator.

        -( 35x /12) =  8/8 + 1 /8

    Combine the numerators over the common denominator.

        -( 35x /12) =  8+1/8

  Add 8 and 1.

        -( 35x /12) =  9/8

Multiply both sides of the equation by − 12/35

        -( 12 /35) ⋅ (− 35x /12 ) = − 12/35 ⋅ 9/8

Simplify both sides of the equation.

   Simplify -( 12 /35) ⋅ (− 35x /12 )

   Cancel the common factor of 12.

              −1/35⋅ (−35x) = − 12/35 ⋅ 9/8

    Cancel the common factor of 35.

               −1 ⋅ (−x) = − 12/35 ⋅ 9/8

   Multiply −1 by −1.

                   1 ⋅ x = − 12/35 ⋅ 9/8

      Multiply x by 1.

                   x = − 12/35 ⋅ 9/8

   Simplify − 12 /35  ⋅ 9/8

   Cancel the common factor of 4.

                   x = −3/35 ⋅ 9 /2

   Multiply −3/35 and 9/2 .

                   x= (−3 ⋅ 9)/( 35 ⋅ 2 )

    Simplify the expression.

   Multiply −3 by 9.

                   x = -27/(35 ⋅ 2)

   Multiply 35 by 2.

                   x= -27/70

The result can be shown in multiple forms.

Exact Form:   x= -27/70

Decimal Form:  x  = −0.3857142...

please help!!!!

it’s due today and it’s worth 30% of my grade!!!!

Answers

Answer:

2nd one because that's the proportion a

Second option is a proportion

Find the measure of angle a

Answers

Answer:

angle A = 47°

angle B= 48°

Step-by-step explanation:

4x+ 4x+ 4+3+85=180°

8x+92=180°

8x= 180-92

8x= 88°

x= 11°

angle A = 4(11)+3= 47°

angle B = 4(11)+4= 48°

(2,-8) and (4,-6) does anyone know the slope of that?

Answers

Answer:

1/1

Step-by-step explanation:

to find the slope of two ordered pairs you're supposed to use this formula-

Y2-Y1/X2-X1

which is

(-6)-(-8)/4-2

which simplifies to...

2/2

which is just 1/1 or 1.

Plssssss help which statement is the clearest translation of 4+6z=12.

Answers

Answer:

FOUR PLUS SIX TIMES A NUMBER IS TWELVE

Can someone Plz help me on this........

Answers

Answer:

1) a≥−2.5

2) n<1.2

3) b≥−0.8

4) false,

5) r≤0.1

6) y≤0.8

Step-by-step explanation:

1) Divide both sides by -3.2.

−3.2a/-3.2 ≤ 8/-3.2

2) Flip the equation

- n+0.8<2

Subtract 0.8 from the sides

n+0.8−0.8<2−0.8

3) Add 4.2 to both sides.

b−4.2+4.2≥−5+4.2

4) inequality cannot be solved

5) Simplify both sides of the inequality.

−r+5.1≥5

Subtract 5.1 from both sides.

−r+5.1−5.1≥5−5.1

−r≥−0.1

Divide both sides by -1.

-r/-1 ≥ -0.1/-1

6) Flip the equation.

−1.8y≥−1.44

Divide both sides by -1.8.

−1.8y/−1.8 ≥ −1.44/−1.8

good luck with your work!!

On average, 15% of the patients a certain emergency room receives are uninsured. Let N be the number of patients the emergency room receives until it receives the first uninsured patient of the day. Assume the insurance status of the patients is independent. Find the probability that it takes at least 6 patients until the emergency room receives the first uninsured patient. You may round your answer to the nearest hundredth.

Answers

Answer: 0.44

Step-by-step explanation:

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