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

plz help (will make brainliest!)​

Answers

Your answer is C! Pretty sure at least. Hope this helps.

simplify this Problem 1.5 x 1.5

Answers

Answer:

2.25

Step-by-step explanation:

1.5 times 1.5 is 2.25

"simplify" just means to solve in ur case..

Hope this helps!!

1.5 multiplied by 1.5 equals 2.25.

To simplify the problem 1.5 x 1.5, you can multiply the two numbers together.

To calculate this, you can follow these steps:

Multiply the first digit of the first number (1) by the first digit of the second number (also 1): 1 x 1 = 1.

Multiply the decimal parts of both numbers: 0.5 x 0.5 = 0.25.

Add the results from step 1 and step 2 together: 1 + 0.25 = 1.25.

The final answer is 1.25, but we need to consider the decimal places. Since both numbers have one decimal place, the final answer will have two decimal places: 2.25.

Therefore, 1.5 x 1.5 simplifies to 2.25.

Learn more about multiplication click;

https://brainly.com/question/11527721

#SPJ6

A paper cup is tossed 50 times. It lands right side up 11 times, upside down 14 times, and on its side 25 times. What percent of time did it land upside down?​

Answers

Answer

28 percent

Step-by-step explanation:

divide 14/50

Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.

Answers

Make y = mx + b
-4y = -3x + 8
y = 3/4x - 2
Since there is a positive slope, the line is increasing

Solution: C

Answer:

I don't know the question answer surely but I think that A is the correct one

The perimeter of an equilateral triangle is 17 cm less than the

perimeter of a rectangle.

The length of one side of the triangle is 5 cm.

a Construct an equation for the perimeter of the rectangle.

.......................

b What is the perimeter of the rectangle?

.......................

c The rectangle is 3 times as long as it is wide.

Construct and solve an equation to find the longest side length

of the rectangle.​

Answers

Answer:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. Then find the answer.

PLS HELP MEEE ILLL GIVE BRAINLEST

Answers

Answer:40

Step-by-step explanation:

Smaller than 60 and 80.

Answer:

B

Step-by-step explanation:

Because I did this test before and I got this right :)

Which of the following is a linear function?

y= 5x

y=x + 1

6x = y - 4

y= 8x²

Answers

Answer:

y=5x

Step-by-step explanation:

Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the number of problems she got correct is : . If Josie missed questions, how many did she get correct? *---------- If josie missed 20 questions how many did she get correct--- PLEASE HELP ME

Answers

Answer:

36 correct answers

Step-by-step explanation:

Given that,

The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2:9.

Josie missed 8 questions

Let incorrect answers be 2x and that of correct answers be 9x.

ATQ,

2x = 8

x = 4

Correct answers = 9x

= 9(4)

= 36

Hence, she will get 36 correct answers.

BRAINLIEST! As a dolphin swims along the side of a cruise ship, he jumps to a height of seven meters above the water surface and dives to a depth of seven meters below the surface. He does this in a regular motion (simple harmonic motion). A passenger starts a stopwatch just as the dolphin is coming up to the surface. The passenger determines that the dolphin completes one cycle every 6 seconds.

Answers

PLS! MARK ME AS A BRAILIEST......

Eileen collected 78 empty cans to recycle, and Carl collected 62 cans. They packed an equal number of cans into each of seven boxes to take to the recycling center. How many cans were in each box?

Answers

Answer:

20 cans

Step-by-step explanation:

Eileen collected 78 empty cans to recycle

Carl collected 62 empty cans to recycle

They pack equal number of cans in 7 boxes

Therefore the number of cans in each boxes can be calculated as follows.

= 62 + 78/7

= 140/7

= 20

Hence there were 20 cans in each boxes

Justin is considering two websites for downloading music. The costs are detailed here.

Website 1: a yearly fee of $30 and $1.50 for each download

Website 2: $2 for each download

What is a system of equations to represent the costs for one year?

Express your equations in the form of y=mx+b where x is the number of downloads for the year and y is the total cost for the year.

Enter your equations in the boxes.

Website 1:

Website 2:

Answers

Answer:

website 2 hope this helps

Q3) Explain the Error: When Rashed found the difference -11 - (-4), he got-
15. What might Tom have done wrong?

Help

Answers

He maybe accidently added both of thm .
But if we difference we get 7.
Because - and - =+
So
-11+4=7.

A national standardized test is graded on a scale from 1 to 5 the scores for a particular school are given below if a student Is chosen at random what is the possibility that they scored a 4 or a 5

Answers

Answer:

Step-by-step explanation:

The possibility of scoring a 4 is 1/5

The possibility of scoring a 5 is 1/5

The possibility of scoring either 4 or a 5 is 2/5

Match each proportion to its solution.

Answers

Answer:

x/10=-30/100 : -3

5/35 = 1/a : 7

2/x = 100/15 : .3

12/k = 4/1 : 3

2/8 = g/4 : 1

Step-by-step explanation:

use the graph below to find the cost of 6 show tickets.
A. the cost of six show tickets
B. The cost of 6 show tickets is $6.
C. The cost of 6 show tickets is $30.
D The cost of 6 show tickets is $5

Answers

Answer:

C. The cost of  show tickets is $30

Step-by-step explanation

c it’s 30 bruh what’s up with this needing 20 characters

2. List the first four terms of the geometric sequence with a, = 5 and r = -2.

Answers

Answer:

[tex]5,~ -10,~ 20,~ -40[/tex]

.

Step-by-step explanation:

Geometric sequence

[tex]Un = ar^{n - 1}[/tex]

.

We know that

a = 5 and r = -2

.

So

[tex]U_1 = 5(-2)^{1 - 1} = 5(-2)^0 = 5[/tex]

[tex]U_2 = 5(-2)^{2 - 1} = 5(-2)^1 = -10[/tex]

[tex]U_3 = 5(-2)^{3 - 1} = 5(-2)^2 = 20[/tex]

[tex]U_4 = 5(-2)^{4 - 1} = 5(-2)^3 = -40[/tex]

.

Happy to help :)

Answer:

the aswers is 5, -10, 20,-40

The 600 mile, Texas Gulf Coast has various barrier islands that protect the coast from storms. If each barrier island is an average of 75 miles in length, how many barrier islands are there?

Answers

Answer: 8 barrier island.

Step-by-step explanation:

From the question, we are informed that Texas Gulf Coast is about 600 miles and that it has various barrier islands that helps protect the coast from storms.

We are further told that each barrier island is an average of 75 miles in length. Therefore, the number of barrier islands that are there will be gotten by dividing 600 by 75. This will be:

= 600 / 75

= 8 barrier island


Help plis! Someone I need help with this plis

Answers

Answer:

I think the answer is B

write the polynomial function f of least degree that has rational coefficients , a leading coefficient of 1, and the given zeros 2 -3i 4

Answers

Answer: it might be the answer in the picture sorry if im wrong

Step-by-step explanation:

Aisha is a cyclist. She rode 3 ¾ miles in ⅓ hours. A. How fast was she going in miles per hour?

Answers

Answer:

11 1/4 miles per hour

Step-by-step explanation:

Put the mixed number in improper form to make it easier. You get 15/4 miles in 1/3 hours. You want the miles for 1 hour. So you multiply 15/4 miles by 3 to get 45/4 miles, or 11 1/4 miles per hour

On a coordinate plane, 2 lines with negative slopes are shown. Line M N goes through points (negative 2, 0) and (negative 6, 8). Line M prime N prime goes through (6, negative 4) and (2, 4). Use the graph of the lines to determine if the two lines are parallel. Line MN was translated down units and right
units to create line M'N'.
The slope of Line M N .
The slope of Line M prime N prime .

Answers

Answer:

Line MN was translated down  

✔ 4

units and right  

✔ 8

units to create line M'N'.

 The slope of Line M N  

✔ −2

. The slope of Line M prime N prime  

✔ −2

.

Step-by-step explanation:

On edge 2021 Hope this helps :)

Answer: is in picture

Step-by-step explanation:

ANSWER PLSSS!!!!

When is Ann's distance from home increasing? Give a reason to support your answer

Answers

Answer:

when the #8 lines up with he 40

Three concert tickets cost $45. At this rate, how much does it cost per ticket?

$135 per ticket
$3 per ticket
$15 per ticket
$48 per ticket

Answers

$15 per ticket. 45 divided by 3 is 15
Your answer is $15.

To find unit rate you need to see how much something costs per item. This means you need to do 45/3. This gives you your answer of $15.

Hope this helps and have a nice day!!!

- Moon

Find the degree of the polynomial.

Answers

Answer:

Degree of the polynomial = 3

Step-by-step explanation:

The given polynomial is [tex]18x^3y^2[/tex]

There are two variables in this polynomial i.e. x and y.

The exponent of x is 3 and that of y is 2.

We need to find the degree of the polynomial.

The degree of the polynomial is defined as the highest degree of any of the term.

In this case, the degree of polynomial is 3 as it has highest power than the power of y.

Please I need some answers

Answers

Answer:

He needs 3 packs of hot dogs and 2 packs of hot dog buns. He has 4 hot dogs and 4 hot dog buns left over.

Step-by-step explanation:

Because 8 x 3 = 24 and 12 x 2 = 24

But since he needs enough for 20 people he would have 4 hot dogs and 4 hot dog buns leftover.


Can someone please help? I need by 2:45 PM

Answers

Answer:

dilated coordinates are A(-18,-3) and B(-6,-12)

Step-by-step explanation:

distance of new segment is 15 units

distance formula = [tex]\sqrt){y-y_{1})^{2} +( x - x_{1})^{2} }[/tex]

Evaluate each expression. Enter the correct answers in the boxes. (60−6)×(13)3+27÷3= ( 60 − 6 ) × ( 1 3 ) 3 + 27 ÷ 3 = 82÷4×(2+3)−9= 8 2 ÷ 4 × ( 2 + 3 ) − 9 = Ʃ 789+Plus456-Minus123×Multiplied by0.,÷Divided byemptyemptyBackspace=Equals

Answers

Answer:

2115

Explanation:

To evaluate the expression (60−6)×(13)3+27÷3 we use BODMAS

BODMAS is an acronym/rule in mathematics that dictates the order we should solve mathematical operations such as the above.

BODMAS stands for bracket first, order or of, division, multiplication, addition and then lastly subtraction

To solve the expression using BODMAS, we solve the brackets first

(60−6)×(13)3+27÷3 =54×39+27/3

Then division

=54×39+9

=2106+9

Then addition

=2106+9=2115

Answer=2115

Which ordered pair is a solution of the equation y+1=3(x-4)

Answers

Step-by-step explanation:

When x = 4 and y = -1,

(-1) + 1 = 3(4 - 4) = 0.

Hence (4, -1) is an ordered pair.

When x = 5 and y = 2,

(2) + 1 = 3(5 - 4) = 3.

Hence (5, 2) is an ordered pair.

Therefore the answer is C.

what is the equation for this situation

Answers

U didn’t give any context
We need a picture to help you /:

The diameters of ball bearings are distributed normally. The mean diameter is 130 millimeters and the variance is 9. Find the probability that the diameter of a selected bearing is greater than 135 millimeters. Round your answer to four decimal places.

Answers

Answer:

0.0478

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 135 mm

μ is the population mean = 130 mm

σ is the population standard deviation.

We are given variance = 9

Standard deviation = √variance = √9 = 3

Hence

z = 135 - 130/3

z = 1.66667

Probability value from Z-Table:

P(x<135) = 0.95221

P(x>135) = 1 - P(x<135) = 0.04779

Approximately to 4decimal places = 0.0478

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