Toss 3 dice. What's the probability that a 4 will come up exactly twice?

Answers

Answer 1

Answer:

[tex]\bold{\dfrac{1}{12}}[/tex]

Step-by-step explanation:

The dice is rolled 3 times.

To find:

The probability that a 4 will come up exactly twice = ?

Solution:

Let 4 comes up exactly twice, let the third number be [tex]x[/tex].

The possible outcomes can be:

([tex]x[/tex], 4, 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

(4, [tex]x[/tex], 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

(4, 4, [tex]x[/tex]) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18

Total number of outcomes that can be possible at roll of 3 dice:

6 [tex]\times[/tex] 6 [tex]\times[/tex] 6  = 216

Formula for probability of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(\text{exact 2 fours}) = \dfrac{18}{216}\\\Rightarrow \bold{P(\text{exact 2 fours}) = \dfrac{1}{12}}[/tex]


Related Questions

If you earned 892.50 after depositing 1400 at 4.25% simple interest, how long was it invested ? Using the simple interest formula, solve for t. Formula I=Prt

Answers

Answer:

Time t = 15 years

Step-by-step explanation:

Interest = 892.50

Principal = 1400

Rate = 4.25%

Time = unknown

But

interest I = Principal p * rate r * time t

Time t = interest I/(principal P * rate r)

Time t=( 892.50*100)/(1400*4.25)

Time t=89250/5950

Time t = 15 years

Fill in the next number in the list.
5. 6. 11. 17. 28. 45

Answers

5. 6. 11. 17. 28. 45 . 73

Here,

5 &6 are given,

Then,

5+6=11

6+11=17

11+17=28

17+28=45

So,

28+45=73

Answer:

73

Step-by-step explanation:

We are adding the two numbers before

5+6 = 11

6+11 = 17

11+17 = 28

17+28 = 45

28+45 =73

7 out of 10 doctors If there are 4200 doctors that prefer Cough-Up brand syrup, how many total doctors are there? * A)6000 B)2940 C)14000 D)1260​

Answers

answer: a) 6000

reason:

if 7 out of 10 doctors prefer cough up syrup, then that means 4200 is 7/10ths of the doctors
divide 4200 by 7 to get 600
then, multiply 600 by 10 to get 6000, the total number of doctors

Two companies report a 15% gain in online sales over the last year. Suppose company Q had 25 online sales and company Z had 150 online sales last year. Do you believe their growth was the same? Justify your answer. ​

Answers

Answer:

Yes, it is possible.

Step-by-step explanation:

It is possible to have same profit rate.

The number of sales may demonstrate that the company Q with 25 online sales is smaller than the company Z with 150 online sales.

Or the company Q may have higher profit rate on individual sales than company Z.

The sum of a number and six is eleven. Find the number.​

Answers

Answer:

17

Step-by-step explanation:

6 + 11 = 17

Sum (addition of 2 numbers)

Since the sum of a number and six is eleven, the number is equal to 5.

Let the unknown number be n.

To find the unknown number:

In this exercise, you're required to determine an unknown number by translating the word sentence into an algebraic equation.

Translating the word sentence into an algebraic expression, we have;

The sum of a number and six is eleven:

[tex]n + 6 =11[/tex]

Next, we would rearrange the equation by collecting like terms:

[tex]n = 11-6[/tex]

n = 5

Find more information: https://brainly.com/question/4728821

What is the polynomial function of least degree whose only zeros are -4,2, and 3?

Answers

Answer:

never heard about it

Step-by-step explanation:

Find the distance between -6 and 10

Answers

Answer:

16

Step-by-step explanation:

Answer:

16 units

Step-by-step explanation:

Consider the absolute value of the difference of the points

| - 6 - 10 | = | - 16 | = 16 , or

| 10 - (- 6) | = | 10 + 6 | = | 16 | = 16

Find the common ratio of each geometric sequence.
a) 2, 4, 8, ... r = 2
b) -2, 6, -18, L =
c) -3, -12, -48, ... r =
1 1 1
d)
3 927
9
..
e) 0.3, 0.6, 1.2, ... r =
f)
1.
re
.
42

Answers

Answer:

d

Step-by-step explanation:


Check each equation whose graph is the line that
contains the points (4, -7) and (1,5).
y=-4x + 9
y=-4x – 23
y-1 =-4(X-5)
y + 7 = -4(x – 4)
4x + y = 9
DONE

Answers

Answer:

Points P ( 4 , - 7 ) and  Q ( 1 , 5 ) belong to the equations:

1  ;  4  ;  and  5

Step-by-step explanation:

Equations 1 ; 4 and 5 are the same equation

Equation 1    y  =  - 4*x + 9

Equation 4

y + 7 = - 4 * ( x - 4 )   ⇒  y + 7  = - 4*x + 16   ⇒ y = - 4*x - 7 + 16

y = -4*x + 9

Equation 5

4*x + y = 9    ⇒ y = - 4*x + 9

Now for the equation y = - 4*x + 9

P ( 4 , -7)

For x = 4    y = - 4*(4) + 9     ⇒  y = - 16 +  9    ⇒  y = - 7

Then point P is in the line  y = - 4*x + 9

Point Q (1 , 5 )

For x = 1    y = - 4 * ( 1) + 9     ⇒  y = - 4 + 9    ⇒  y = 5

Point Q is in the line y = - 4*x + 9

Equation 2

y = - 4*x - 23

Point P ( 4 , - 7 )

For x = 4       y  = 16 - 23   y  = - 7

Point P is in the line

Point Q

For x = 1     y = - 4 *(1) - 23      ⇒   y = - 27

Then poin Q is not in the line

Equation 3

y - 1 = - 4 * ( x - 4 )

y  - 1 =  -4*x + 16    ⇒   y  = - 4*x + 17

Point P ( 4 , - 7 )

For x = 4

y = - 16 + 17   ⇒ y = 1    

Point P is not in the line

And Point Q ( 1 , 5 )

For  x = 1

y = - 4* ( 1 ) + 17    ⇒  y  = 13    Q is not in the line

Answer:

1 4 5

Step-by-step explanation:

jus took the test

The line plot shows the part of an hour that Tamika practiced the piano each day last week. How many hours did Tamika practice the piano last week?
A.4 1/2 B.1 1/2 C. 4 D. 3 3/4

Answers

Answer:

it is c

Step-by-step explanation:

got it correct on the quiz

What is the surface area of a cube with side length 3/2 units?

Answers

Answer:

Surface area = 13.5 unit square.

Step-by-step explanation:

We have given the side length of cube = 3/2 units

Now we have to find the surface area of the cube by using the given information. Therefore we must use the below formula to find the surface area. the formula is as follows:

Surface area = 6 (side)^2

Now plug the given information in the formula.

Surface area = 6 (3/2)^2

Surface area = 13.5 unit square.

The distance between the point (2,1,1) and the plane x-2y=5 is​

Answers

The given plane has normal vector

[tex]x-2y=5\implies\mathbf n=\langle1,-2,0\rangle[/tex]

Scaling n by a real number t gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation

[tex]\mathbf r(t)=\langle1,-2,0\rangle t+\langle2,1,1\rangle=\langle 2+t, 1-2t, 1\rangle[/tex]

This line passes through (2, 1, 1) when t = 0, and the line intersects with the plane when

[tex]x-2y=5\implies(2+t)-2(1-2t)=5\implies5t=5\implies t=1[/tex]

which corresponds the point (3, -1, 1) (simply plug t = 1 into the coordinates of [tex]\mathbf r(t)[/tex]).

So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):

[tex]\sqrt{(2-3)^2+(1-(-1))^2+(1-1)^2}=\boxed{\sqrt5}[/tex]

Need help ASAP!!!!!!!!!!!!

Answers

Answer:

[tex]-\frac{7}{2} x+12[/tex]

Step-by-step explanation:

if you need step by step explanation i will upload.

I don't have time to calculate I have to go somewhere. HELP ASAP! What is x+300=500

Answers

Answer:

x=200

Step-by-step explanation:

x+300=500move the constant to the rightx=500-300x=200

Answer:

[tex]x=200[/tex]

Step-by-step explanation:

[tex]x+300=500[/tex]

There is an easy way to solve this.

Let's do

[tex]500-300[/tex]

Since [tex]500-300[/tex] is equal to 200, then x would be 200.

[tex]x=200[/tex]

Hope this helps!

16.9 is what percent of 22.9? Round to the nearest percent.

Answers

Answer:

74%

Step-by-step explanation:

16.9/22.9。。。。。。。

Answer:

74%

Step-by-step explanation:

22.9=100%

16.9= ?

16.9×100÷22.9=73.8

Round to the nearest % =73.8=74

Answer =74%

please answer thank you!

Answers

Answer:

X= -2

Step-by-step explanation:

Given: 16 = -4(x - 1) + 4

Solution:

Subtract 4 from both sides

12 = -4(x -1)

Divide -4 on both sides

-3 = x - 1

Add -1 on both sides

x = -2

Find the midpoint (1,2)(8,-9)

Answers

Answer:

(4,5)

Step-by-step explanation:

The table shown classifies the 35 students in a
college statistics course by year (1st, 2nd, 3rd, 4th)
and type of major (Humanities, Sciences, Other). A
student from this course will be selected at random.
What is the probability that the student's major is
Humanities?

Answers

The correct answer is 0.45 or 45%

Explanation:

In this case, the probability of selecting a student whose major is Humanities can be calculated by finding the number of Humanities students, which is considered as the desired outcome, and dividing this by the total of outcomes or students. The process to find the probability is shown below:

[tex]P = \frac{Desired outcomes}{Total outcomes}[/tex]

[tex]P= \frac{Students from Humanities}{Total students}[/tex]

[tex]Students of Humanities = 5 + 5 + 3 + 3 = 16 students[/tex] (Add the students of each year that are part of Humanities)

[tex]Total of students = 35[/tex] (This number is provided in the question but can also be found by adding all numbers in the table)

[tex]P = \frac{16}{35}[/tex]

[tex]P = 0.45[/tex]

Multiply the probability by 100 to know its equivalent in percentages 0.45 x 100 = 45. This means the probability that a student of humanities is selected is 0.45 or 45%.

Right to explain how this digit 6 changes value in number 666, 666, 666

Answers

To a higher number the six changes value in this number above

Answer:

devil!!!!!!!!!!!!!!!!

Step-by-step explanation:

Which theorem can be used to show that △JKL ~ △MNP?

Answers

In this case the answer would be the last option

because it is shrunk by 2/3 on just the x side

D is the only one who has that first transformation

By a theorem of similarity, it can be shown that △JKL ~ △MNP.

What is the similarity?

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

Another example is all circles are similar circles.

The ratio of corresponding sides of similar objects is always the same.

Any two triangles will be similar if the ratio of their corresponding side is same.

If △JKL ~ △MNP then their corresponding side ratio will definitely same.

If corresponding side is same order in JKL and MNP then,

JK/KL = MN/NP

Hence "By a theorem of similarity, it can be shown that △JKL ~ △MNP".

To learn more about similarity,

https://brainly.com/question/23620710

#SPJ5

25 tens=
______hundreds 5 tens

Answers

Answer:

2 hundreds.

Step-by-step explanation:

25 tens is equal to 250.

25 x 10 = 250

5 tens = 50, 5 x 10

250 - 50 = 200

200 = 2, hundreds.

Answer:

2 hundreds

Step-by-step explanation:

I've been stuck on this for about 2 hours but it still doesn't make any sense to me, please helpppppppppp

Answers

I really hope this helps. I’m sure the answer is c:)

Solve: x/3+1/4 =1/3 . Explain your work.

Answers

Steps to solve:

x/3 + 1/4 = 1/3

~Subtract 1/4 to both sides

x/3 = 1/12

~Multiply 3 to both sides

x = 1/4

Best of Luck!

3n-n+7=25

Please help me quickly!

Answers

Answer:

n = 9

Step-by-step explanation:

3n-n+7=25

2n +7 = 25

2n = 18

n = 9

I hope this helps!

-TheBusinessMan

Step-by-step explanation:

3n-n=25-7

2n=18

n=18/2

n=9

In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle E?

Help me solve thiss

Answers

Answer:

Angle E = 70°

Step-by-step explanation:

Given parallelogram RELA, where m<R = 110°, to find m<E, recall the properties of a parallelogram.

Angle R and angle E are consecutive angles in parallelogram RELA.

One of the properties of a parallelogram states that any 2 consecutive angles in a parallelogram are supplementary. That is, they add up to 180°.

Therefore:

m<R + m<E = 180°

110° + m<E = 180°

Subtract 110° from both sides

m<E = 180° - 110° = 70°

Ava is in charge of bringing bottled water to a party that has 42 guests.
Bottled water is sold in packs of 18 and each pack costs $16.92.
Part A: enter the total number of packs of water Ava will need to bring to the party if each guest is to have 1 bottle of water.
Part B: enter the total cost, in dollars, Ava will spend on bottled water for the party.

Answers

Answer:

a - about 3 packs cause you have to round up

b - $50.76

Step-by-step explanation:

First you divide 42 and 18.

42/18=2.33

You have to round up cause you can't have half of a pack, you can't just buy half of a pack.

So, it is rounded to 3 packs.

Next you have to multiply the number of packs and the cost of each pack of water bottles.

16.92*3=$50.76

a - you have to buy 3 packs

b - the total cost is $50.76

Give an expression that generates all angles coterminal with each angle. Let n represent any interger?
1. 60°
2. 120°

Answers

Answer:

The expression to this question can be defined as follows:

Step-by-step explanation:

Given angle:

1. 60°

2. 120°

Formula:

[tex]\to \bold{\ angle + 360 \ n}[/tex]

The Expression for point 1:

[tex]\to 60^{\circ} + 360 \ n\\[/tex]

The Expression for point 2:

[tex]\to 120^{\circ} + 360 \ n\\[/tex]

A piece of carpet is 360 cm long. Mr. Smith cuts it into three pieces in the ratio 2:3:4. Workout the length of the longest piece of carpet.

Answers

Answer:

The longest length of carpet is 160 cm.

Step-by-step explanation:

Given that the total ratio(units) of the carpet is 9(2+3+4). So first, you have to find the length of carpet in 1 unit :

[tex]9 \: units = 360 \: cm[/tex]

[tex]1 \: unit = 360cm \div 9[/tex]

[tex]1 \: unit = 40 \: cm[/tex]

Next, you have to find the length of carpet in 4 ratio as the question wants the longest length :

[tex]4 \: units = 40 \: cm \times 4[/tex]

[tex]4 \: units = 160 \: cm[/tex]

Answer:

160cm

Step-by-step explanation:

2+3+4= 9

4/9 x 360= 160cm

Find the mean of 35,42,41,32,30

Answers

Answer:

The mean is 36

Step-by-step explanation:

The mean of these numbers is 36.

Maya has 120 cupcakes to sell. Each cupcake is covered with one topping. 1/5 of the cupcakes are covered with peanuts. 40 are covered with chocolate chips and the rest are covered with sprinkles. How many cupcakes are covered with sprinkles?

Answers

Answer:

24 covered with peanuts

40 covered with choc chips

56 covered with sprinkles

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