Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (that is, there are two dice showing the same value, but no three dice show the same value)

Answers

Answer 1

Answer:

The probability that there is at least one pair but not a three of a kind is 0.6944.

Step-by-step explanation:

We have the case when we have five dices and we roll them and we need  that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.

Total no of outcomes = [tex]6^5 = 7776[/tex]

We will consider the other cases and then subtract them from the total outcomes.

No of outcomes of 5 of a kind = 6

No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150

No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300

No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200

No of outcomes when all are different = 6! = 720

These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.

Total cases = 6+150+300+1200+720

                   = 2376

Required no of outcomes = 7776-2376 = 5400

Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944

Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.


Related Questions

Snare Drum
Backbeats
Bass Guitar
Notes
3
2
90
60
120
80
Part A. Are the two quantities proportional? Justify your answer.
Yes they because they have the same constant proportionality.
Part B. What is the constant of proportionality? *
0.77

Answers

Answer : what do i answer

Step-by-step explanation:

in standard form is 63,029

Answers

60,000 + 3,000 + 20 + 9

Answer:

60000 + 3000 + 29

Step-by-step explanation:

The Standard form of 63029 is

60000 + 3000 + 29

-TheUnknownScientist

Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5 You bought one last week and one this week. Did you pay more or less for the bottle this week?

Answers

Given:

Usual cost of a bottle of sparkling water = $1.69 each

This week they are on sale for 4 for $5.

To find:

Did you pay more or less for the bottle this week?

Solution:

We have,

Usual cost of 1 bottle = $1.69

On sale, cost of 4 bottles = $5

On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]

                                         = $1.25

Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.

Hence, you pay less for the bottle this week.

Triangle ACB with coordinates A(0,0), C(2,0), and B(2,4) is similar to triangle BED. If vertex D has coordinates (6,12), what are the coordinates of vertex E?

Answers

Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it

Tsunamis, or large tidal waves are generated by underwater earthquakes in the Pacific Ocean. The speed of the tsunami in meters per second is 3.1d, where di is the depth of the ocean in meters.

Answers

Answer:

hi

Step-by-step explanation:

so i thin is 38.00 why because te  inequality

Which graph can be defined by the function y = -3x + 2

Answers

Answer:

Step-by-step explanation:

Which table of ordered pairs represents a proportional relationship? PLEASE HELP MEEEE!!!!!!

20 POINTS I THINK

Answers

the answer is B

your welcome

Please help!!! Thank you!!!

Answers

Answer:

1.  180°   ∑triangle angles=180°

2. 2x

3. 52°

What is the greatest cornron foctor (Gc) of 15 and 64?

Answers

The GCF of 15 and 64 is 1.

Simplify 5 to the power of negative 2 over 4 to the power of 6?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }[/tex]

I need helpppp....:(​

Answers

Answer:

D

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

For a pentagon with n = 5 , then

sum = 180° × 3 = 540° , thus

x = 540° ÷ 5 = 108

For an octagon with n = 8, then

sum = 180° × 6 = 1080° , thus

y = 1080° ÷ 8 = 135

Thus

x + y = 108 + 135 = 243 → D

Divide the polynomials.
25 points!!!!! right answer get's brainliest

Answers

Answer:

x - 2

Step-by-step explanation:

[tex] \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2[/tex]

Factor the following polynomial: 12y5 – 8y3 + 24y2


A. 8y(2y4 – y2 + 3y)
B.4y2(3y3 – 2y + 6)
C. 4(3y5 – 2y3 + 6y2)
D. 4y(3y4 – 2y2 + 6y)

Answers

Answer:

The answer is B.

Step-by-step explanation:

12y5−8y3+24y2

=4y2(3y3−2y+6)

which point is the incenter of angle DEF

Answers

I think it’s point G

Marsha is changing her phone
service. One data package charges
an initial fee of $50 and $13.25 per
month. The other has no initial fee
but charges $25.75 per month for
the same data package. After how
many months would Marsha have
paid the same amount for either
data package?
Someone help me plz quickly

Answers

month 4: 13.25*4=53. 53+50 = 103

month 4: 25.75*4 = 103

They both cost $103 on month 4

Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?

Answers

Answer:

The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

Step-by-step explanation:

The rule of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ LAMP is a square

∵ The sides of the square are equal in lengths

LA = AM = MP = PL

Let us find the length of one side of it

∵ L = (-2, -3) and A = (4, -1)

x1 = -2 and y1 = -3

x2 = 4 and y2 = -1

→ Substitute them in the rule of the distance above to find LA

∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]

∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]

→ Simplify the root

LA = 2[tex]\sqrt{10}[/tex] units

∵ The perimeter of the square = 4 × side

∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]

∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]

The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

What is the quotient of 2/3 divided by 4 in simples form

Answers

Answer:

2/12 is equivalent fraction for 2/3 divided by 4

Step-by-step explanation:

2

3

&

4

2

3

÷

4= ?

step 2 Multiply 2/3 with reciprocal of 4

=2

3

x1

4

=2

12

The Quotient is 1/3.

What is Division?

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2/3 divided by 4

As, division is not possible in fraction so we will perform the multiplication

= 2/3  ÷ 4

= 2/3 x 1/4

= 2/6

= 1/3

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ5

Which value is an output of the function?
O-6
O-2
O 4
O7

Answers

The answer is the second one

If you know this please help and explain this for me thanks

Answers

Answer:

y int is (0,5)

slope is m=-2

y=-2x+5

Step-by-step explanation:

The line has a slope of -2 and a y-intercept of y=4. (y=-2x+4)

Explanation: You can tell by where the line is landing on the x and y intercepts and it's as easy as counting lines. As far as the y-intercept goes, you can tell that by looking where the line crosses the y axis. And in this case it's (0,4) making your y-intercept, y=4.

Translate the following sentence into an inequality: Twice a number plus
two is less than the difference of x and six.

Answers

Answer:

hey your really cute thats all

Step-by-step explanation:

;) love you bubs see you someday, now

free paints and brianliest
Marry christmas guys

Answers

Answer:

Yo

Merry Christmas and have a great day onwards

and thank you ❤

Answer:

thanks a lot friend!!!

Step-by-step explanation:

.......

whats the answeer giving brainliest

Answers

Answer:

B

Step-by-step explanation:

3+5+7=3+7+5

PLEASE HELP ASAP THANK U!!!!

Answers

Answer:

3

Step-by-step explanation:

What is 4/5 divided by 3/7?

Answers

Answer:

0.0381 this should be the answer

Answer:

1 whole number 13 over 15

Step-by-step explanation:

4/5÷3/7

4/5*7/3

=1¹³/15

help!! i'll give brainliest

Answers

Answer:

Im pretty sure D

Step-by-step explanation:

The answer is D. because the y intercept is 3 and the slope is down 1 and over 2.
hope this helps.
Brainliest please!

January 19 national popcorn day. A bag of popcorn has the average of 450 kennels if 4%% of the kernels dont pop how manu pieces of popcorn will the bag make

Answers

Answer:

The bag will make 432 pieces of popcorn.

Step-by-step explanation:

From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:

450*4%=18

450-18=432

According to this, the answer is that the bag will make 432 pieces of popcorn.

Translate the shape by the vector -1 5​

Answers

Answer:

la forma por el vector -1 5

Step-by-step explanation:

the first blanks options are -2 , -1/2 , 2 , 1/2
The seconds are -5 , -3 , 5, 3
the thirds are -2, -1, 2, 1
and the fourths are -2, -1, 2, 1

Answers

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

What is the value of the expression

3/5 (x-8) - y

When x=15 and y=1/10

A 11/10
B 21/10
C 31/10
D 41/10

Answers

Answer:

D 41/10

Step-by-step explanation:

substitute the values given into the equation. Calculate.

Answer:

D: 41/10

Step-by-step explanation:

Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25

Answers

Answer:

0.95

Step-by-step explanation:

[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]

[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]

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