An urn contains four dice. Two have faces numbered 1,2,3,4,5, and 6; one has faces numbered 2,2,4,4, 6 and 6; and one has all six faces numbered 6. One of the dice is randomly selected from the urn and rolled. The same die rolled a second time. Calculate the probability that a 6 is rolled both times ( hint Law of total probability) Group of answer choices

Answers

Answer 1

Answer:

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

Step-by-step explanation:

Two have faces numbered 1,2,3,4,5, and 6

So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:

(1/6)^2 = 1/36

So

[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]

One has faces numbered 2,2,4,4, 6 and 6;

The probability of rolling 2 faces six with this dice is:

(2/6)^2 = 4/36

This dice has 1/4 probability of being chosen. So

[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]

One has all six faces numbered 6.

The probabilityu of rolling two six is given by:

(6/6)^2 = 1^2 = 1

This dice has 1/4 probability of being chosen. So

[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]

Calculate the probability that a 6 is rolled both times

[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times


Related Questions

NEED HELP! MATH 256 SQUARED!15 PTS ONE BRAINLYIST

Answers

Answer:

bxhebgrbf brcjfrbv5nk

Step-by-step explanation:

I think the answer is 65,536! Please tell me if I’m wrong!

Т. .
A number composed of two digits divisible by 5 and tens digit is less than unit digit by one



Answers

9514 1404 393

Answer:

  45

Step-by-step explanation:

Only numbers ending in 5 or 0 are divisible by 5. If the units digit is 0, there can be no tens digit that is 1 less. So, the units digit must be 5 and the tens digit must be 4.

The number is 45.

Sarah made 5 gallons of punch for her family reunions if each serving is 1/16 gallon how many servings is this?
A. 75
B. 50
C. 80
D. 3 1/5​

Answers

Answer:

С) 80

вот правильный ответ

A circular garden has a circumference of 63 yards. Lars Is digging a straight line along a diameter of the garden at a rate of 5 yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for 1 and round the diameter to the nearest whole number, if necessary. It will take Lars about hours to dig across the garden.



PLZ answer need by 10:40​

Answers

Answer:

4 hours

Step-by-step explanation:

f the circumference of the circular garden =63 yards

Circumference of a Circle =2πr=πd (d=diameter)

Therefore:

πd= 63

diameter of the circular garden =63/3.14=20 yards

If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:

20 yards/5 yard per hours = 4 hours

It will take him 4 hours to dig across the circular garden.

Question
Solve 9 < 3x + 6< = 15 and write the solution in interval notation. If there is no solution, type Ø.

Answers

Given:

The compound inequality is

[tex]9<3x+6\leq 15[/tex]

To find:

The solution for the given compound inequality in interval notation.

Solution:

We have,

[tex]9<3x+6\leq 15[/tex]

Subtracting 6 from each side, we get

[tex]9-6<3x+6-6\leq 15-6[/tex]

[tex]3<3x\leq 9[/tex]

Divide each side by 3.

[tex]\dfrac{3}{3}<\dfrac{3x}{3}\leq \dfrac{9}{3}[/tex]

[tex]1<x\leq 3[/tex]

Here, 1 is not included in the solution set and 3 is included in the solution set.

Therefore, the solution in interval notation is (1,3].

need help on this question

Answers

Did you say nevermind so I will just take these free points

Alcohol is a major contributor to high percentages of academic problems and college dropouts. Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. True False Not Sure Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. How confident are you of your response

Answers

Answer:

True

Step-by-step explanation:

This is true. According to studies conducted roughly 40% of academic problems and cause of college, dropouts is due to Alcohol. The students tend to party and drink a lot. This alcohol consumption makes the students tired, hungover, and unable to properly function enough so that they can attend classes on time and study to be able to pass the exams. This ultimately leads to failing grades and dropping out of the career.

is a symbol for Zero used in the Roman numerations systems​

Answers

Answer:

no

Step-by-step explanation:

the word they used for zero is nulla meaning none

they used the word nulla to signify zero, or none. so no there is no roman symbol for 0.

Write the rate as a fraction in simplest form: 492 miles in 8 hours.

Answers

123 miles 2 hours

Tanks

Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
O(-5, -8)
(5,8)
O (5,-8)
0 (-5,8)

Answers

(-5,-8)
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.
Number 1, or A. 360°

MARK BRAINLYIST
The graph shows the distance, y, that a car traveled in x hours:

A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting ordered pairs 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Travel.

What is the rate of change for the relationship represented in the graph?

fraction 1 over 50
fraction 1 over 25
25
50

Answers

Answer:

25

Step-by-step explanation:

This is a straight line: y = 25x

The rate of change is the slope, i.e., 25

solve for y
y - 2 = 2x​

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

add two to both sides so that (-)2 cancels out on the side by the y to get it by itself move +2 to the side with the x giving you y = 2x + 2

What is the slope of the line y + 3= 5/7(x + 4)

Answers

Answer:

5/7

Step-by-step explanation:

y + 3 = 5/7 (x + 4)

y + 3 = 5/7x + 2 and 6/7

y = 5/7x =1/7

y = mx + b

m = slope

The table shows the amount of apple
sauce made from one apple of each size.
Patrice has 17 medium apples and 23
large apples. What is the total amount
of apple sauce that she can make with
these apples?

Answers

Answer: 103/4 or 25.75 cups.

Explanation: We need to find the sum of the two types of apples times the cups of apple sauce one can make with them.

Thus, we have (1/2 cups*17 medium apples)+(3/4 cups*23 large apples)=103/4 or 25.75 cups.

Patrice can make a total amount of 25.75 cups of apple sauce.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Patrice has 17 medium apples and 23 large apples.

Amount of apple sauce form a small apple = 1/3 cup

But Patrice does not have any small apples.

Amount of apple sauce from a medium apple = 1/2 cup

Amount of apple sauce from 17 medium apples = 17 × 1/2 cups

                                                                               = 8.5 cups

Amount of apple sauce from a large apple = 3/4 cup

Amount of apple sauce from 23 large apples = 23 × 3/4 cups

                                                                            = 17.25 cups

Total apple sauce made from 17 medium apples and 23 large apples = 8.5 cups + 17.25 cups = 25.75 cups

Hence the total amount of apple sauce that Patrice can make is 25.75 cups.

To learn more about Multiplication, click :

https://brainly.com/question/29148612

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PLEASE HELP!! 30 POINTS
What is the length of the hypotenuse of the triangle below?
512
9041
245
572
O A. 1
B. 252
C. 5
O O O O
D. 10
E. 10

Answers

Answer:

10 (D)

Step-by-step explanation:

do the Pythagorean theorem

value of b in the quadratic equation 3x/4=1/x

Answers

Is 0 one of your answer options? If so the answer is 0.

Need help !!! Please and thank you

Answers

it’s not a function. the second option should be the right answer.

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

A right triangle is shown. The lengths of the 2 sides are 10 feet and 3 feet. The angle opposite to side with length 3 feet is x.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

16.7°
17.5°
72.5°
73.3°

Answers

Answer:

Step-by-step explanation:

Hence option B is correct.

What is trigonometric function ?

a function of an arc or angle defined in terms of the ratios of pairs of sides of a right-angled triangle (such as sine, cosine, tangent, cotangent, secant, or cosecant).

How to solve?

In the figure it can be seen the perpendicular value =10 feet

and ,the base=3 feet,

tan(x)=10/3

tan(x)=3.33

x=73.3

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What is the area of this figure?

Answers

Answer:

75.398

Step-by-step explanation:

Today, 198 people went to Six Flags the first hour it was open. This number was 30% of the number of people who went to the park yesterday. How many people went to the park YESTERDAY?

Answers

Its 660

there would be 198 people if you take 30% of 660

Answer:

660

Step-by-step explanation:

30% = 198 (People for the first hour it was open)

1% = 6.6 (1% for people at the park yesterday)

100% = 6.6 x 100 = 660 (Everybody at the park)

I hope I did it right.

which is the closest to the quotient 4367/0.004​

Answers

Answer:

1091750

Step-by-step explanation:

if your dividing

15. If R is the midpoint of OS, OR = 8x - 51 and RS = 3x - 6, find QS.
15.


PLEASE HELP

Answers

Answer:

if you mean find OS, then:

OS = 42

Step-by-step explanation:

if you mean find OS, then:

8x-51 = 3x-6

5x = 45

x = 9

OS = 2(3x-6)

OS = 6x-12

substitute for x

OS = 6(9)-12 =42

Step-by-step explanation:

ok si esoes la respuesta corecta yo les digo niños por que yo soy una profesora de mate y se mas de mate que ustedes



HELP ASAP PLEASE!



The net for a triangular prism is shown below. What is the total surface area of the prism? 6.9 cm 8 cm 10 cm 8 cm 0 55.2 square centimeters 0 295.2 square centimeters 0 240 square centimeters 0 552 square centimeters​

Answers

Answer:

Step-by-step explanation:

The area of each rectangle is Length x width

Therefore Area of rectagle is 8cm x 10 cm=

A= 80 cm 2

There are three rectangles with the same measure so multiply the area by 3

80cm squared x 3= 240 cm 2

Now find the are of the triangle:

A- 1/2 x base x height

Base = 8cm

Height = 6.9 cm

A= (1/2) (8cm) (6.9cm)

A= (1/2) (55.2 cm squared)

A= 27.6 cm squared

Since there are two triangle faces with the same dimensions take the area and multiply it by 2

27.6 cm squared times 2 = 55/2 cm squared

Now add up the area of the rectangles and the area of the triangles.

Rectangles= 240 cm squared

Triangles 55.2 cm squared

240cm sq + 55.2 cm sq.= 295.2 cm squared

Factor completely and then place the factors in the proper location on the grid.

36 x2 + 60 x + 25

Answers

Answer:

[tex](6x+5)^{2}[/tex]

Step-by-step explanation:

[tex]36x^{2}+60x+25[/tex]

Just looking at the equation, one can see that the first element ([tex]36x^{2}[/tex]) and the last element ([tex]25[/tex]) are both perfect squares. One can see that when one multiplies the number and then doubles the result, the resulting values will be the value in the middle. Therefore, it is clear that is the answer is;

[tex](6x+5)^2[/tex]

What is the measure of A

Answers

Answer: it is about 80%

Step-by-step explanation:

Answer:

i think about 140 degrees

Step-by-step explanation:

How do you use Trigonometric Ratios to solve Real-world problems?

Answers

Answer:

Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building.

On a platter of chicken wings they are mild wings and hot wings in a representative sample of 10 chicken wings there are 5 mild wings if the platter has 90 chicken wings estimate the number of mild wings on the platter

Answers

Answer:

30 mild wings

Step-by-step explanation:

3xy - 4y when y =2 and x =5​

Answers

Basically plug in 2 where y is and 5 where X is
3(5)(2) - 4(2) , the parentheses are there to multiply
30-8
22

Answer:

22

Step-by-step explanation:

16% of $72=
I need help so if you know help

Answers

Answer:

Step-by-step explanation:

$72 is 100% and

$? is  16%

? = 16*72/100 = 11.52

the answer would be 11.52

Mr. Greenwood bought 1/2 gallon of milk.His family members drank 3/4 of the milk for breakfast. .How many gallons of milk did they drink?

Answers

Answer: 6/8

Step-by-step explanation: this is the answer

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