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

Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.

Answers

A is your answer bc the -2 directly affects the x value and since its negative it will move left

Answer:

Your answer is A

Step-by-step explanation:

The graph of y = f(x) will shift left 2 units.

Can someone please solve number 6 for me it’s urgent

Answers

Answer:

Value of blank = 1 / (-5x)

Step-by-step explanation:

Given:

__ × (-5x) = 1

Find:

Value of blank

Computation:

Assume;

Blank = y

So,

y × (-5x) = 1

y = 1 / (-5x)

Value of blank = 1 / (-5x)

Subtract.

78.9−5.64 Pls help

Answers

Answer:

73.26

Step-by-step explanation:

I hope this helps :)

Answer:

73.26 is your answer.

Step-by-step explanation:

1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x

Answers

Answer:

.8x

Step-by-step explanation:

Lisa makes $78.37 per day. If she works 8 12
hours, how much does she make in 1 hour?

Answers

i’m assuming the time is eight hours and 12 minutes. let me know if that’s not what it’s supposed to be

78.37 / 8.12 = 9.65

lisa makes $9.65 in 1 hour
hope this helps

HELP!!!!! It's REALLY easy, but you can't retake this practice assignment, so help

Answers

You are right. 5 is correct.

Given the Isosceles Trapezoid, find the measure of the missing? angle.

Answers

Answer:

s=65

Step-by-step explanation:

T to S is 180

180-115=65

cómo resolver sopa de números encontrando resultados de divisiones por ejemplo 436/2​

Answers

Answer:

Lo resuelves como de costumbre :)

Step-by-step explanation:

Answer:

218

Step-by-step explanation:

What is the y intercept of the line?

-3


-1


4


2

Answers

Answer:

2

Step-by-step explanation:

2 because the line goes through the y intercept at 2

PLEASE ANSWER THIS!!!

Answers

Answer:

the answer would be 85% bsjdjdmzmcnd

Answer:

75%

Step-by-step explanation:

Total Questions= 12

Answered Correctly= 9

%=9/12 x 100

%= 0.75 x 100

%= 75%

PLEASE MARK ME AS BRAINLIEST!!!!

5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.

NEED THIS ASAP
NEED A EXAM DONE WILL PAY

Answers

Answer:

The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest

Answer:

Step-by-step explanation:

Premise:  If n is a positive integer, then 11ⁿ-6 is divisible by 5.

Let n=1.

11¹-6 = 5, so the premise is true for n=1.

Suppose the premise is true when n is an integer greater than 1,

then 11ⁿ-6 is divisible by 5.

11ⁿ⁺¹-6 = 11·11ⁿ - 6

   = (10+1)11ⁿ - 6

   = (10·11ⁿ) + (1·11ⁿ) - 6

   = (10·11ⁿ) + (11ⁿ - 6)

Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.

Proof by induction.

PLEASE HELP I WILL GIVE YOU BRAINLIEST

Answers

Answer:

yoo echo stop deleting my answers  bro

Step-by-step explanation:

Need help with this please having a hard time with it

Answers

Answer:

6.28 m^2  

Step-by-step explanation:

4^2 x Pi=area of full circle

45 degree segment =1/8 of a full circle

16x3.14159=50.27 m^2                  area of full circle

50.27/8=6.28 m^2             area of 1/8 circle

Answer:

90 square meters

Step-by-step explanation:

Formula for sector area--- SECTOR AREA=r^2 a/2

*Multiply the central angle by the radius squared- 45×4=180squred meter

*then, Divide by 2- 180÷2=90

4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)

Answers

Answer:

A). (1, 7)

Step-by-step explanation:

-3x – 2y = -17

9x + 2y = 23

____________+

6x = 6

x = 6/6

x = 1

9x + 2y = 23

9(1) + 2y = 23

9 + 2y = 23

2y = 23 - 9

2y = 14

y = 14/2

y = 7

PLS HELPP ! I’m being timed

Answers

Answer:

C

Step-by-step explanation:

What I think

what is 50 divided by 5 times 2 divided by 4

Answers

I think the answer would be 5

Answer:

5 ma boiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

A certain forest covers an area of 1900 km2 . Suppose that each year this area decreases by 4.75% . What will the area be after 8 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1000 klgram Sha bebe

And so many things I have to do whit a person do and every thing

Thank you

HELP ME NOW ASAPPP UnU

Answers

56.757 IF U DIVIDE BY IT U GET 676.75

Answer:

56.757 and if u divide it : 676.75

Step-by-step explanation:

uwu

14). Deconstruct to find the area of the figure below 10 ft. 14 ft.​

Answers

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Morgan’s books sold 660 bookmarks last year, in comparison to 528 bookmarks this year. What is the percent of decrease in the number of bookmarks sold annually

Answers

Answer:

A 20% decrease I believe

Step-by-step explanation:

So, you subtract 660-528 which is 132. You then divide that by 660 and you get 0.2 or 20%

I just learnt this in math today so I hope it helps you and I hope it's correct :>

On a large college campus, the students are able to get free copies of the school newspaper,the local newspaper, and a national paper. Ninety percent of the students read at least one of thepapers, 40% read only the school newspaper, 20% read only the local paper, 5% read only thenational paper, and 2% read all three papers. Fifty percent read the school newspaper, and 5%read the school and national newspapers. A randomly selected student is asked whether he orshe reads the school, local, or national paper. Express each of the following events in setnotation and find the percentage of students represented by each.a The student does not read any paper.b. The student reads the local paper.c. The student reads exactly two papers.d. The student reads at least two papers.

Answers

Answer:

a) The percentage that the student does not read any paper is  10%  

b) The percentage that the student reads the local paper is 40%

c) the percentage that the student reads exactly two papers is 23%

d) the percentage that the student reads at least two papers is 25%

Step-by-step explanation:

Given the data in the question;

as illustrated in the Venn diagram below,

a)The student does not read any paper;

The percentage that the student does not read any paper will be;

100% - 90% = 10%

Therefore, The percentage that the student does not read any paper is  10%  

 

b) The percentage that the student reads the local paper;

from the Venn diagram below;

⇒ ( 20 + 15 + 3 + 2 )%    

= 40%

Therefore, The percentage that the student reads the local paper is 40%

c) The percentage that the student reads exactly two papers

⇒ ( 15 + 5 + 3 )%

= 23%

Therefore, the percentage that the student reads exactly two papers is 23%

d) The percentage that the student reads at least two papers;

⇒( 15 + 5 + 3 + 2 )%      

= 25%

Therefore, the percentage that the student reads at least two papers is 25%

Monica paid sales tax of $105 when she bought a new TV. If the sales tax is 5%, what was the cost of the TV?​

Answers

Answer:

$31.5

Step-by-step explanation:

X * 5% = $1.50

X = $1.50 / 5%

Or by using simple rule of three:

If 5% is $1.50

Then 100% is X

So you obtain = $30

Now you just need to sum The net prices and the taxes

Net + tax = Total Charge

$30 + $1.5 = $31.5

PLS HELP ME!! FIND THE PARALLEL LINES!!

Answers

Answer:

F to D and A to E

Step-by-step explanation:

if they were to continue forever they wouldn't touch but the other lines would (sorry if this isn't correct)

4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120​

Answers

Answer:

D

Step-by-step explanation:

The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.

2x-1=7
Not sure how to start to solve this equation

Answers

Answer:

x equals 4. 2x4 is 8-1equals 7

Answer: x=4

Step-by-step explanation: 2x−1=7

2x−1+1=7+1

2x/2=8/2

x=4

Solve the formula 5x − 3y = 30 for y.

Answers

Answer:

y= -10+5x/3

Step-by-step explanation:

thats it

Solve each system by substitution.
2) 4x + y = -8
8x + 2y=5
A) (4-6)
C) (54,6)
B) No solution
D) (-6,4)

Answers

Answer:

b. no solution

Step-by-step explanation:

change to slope-int form

y=-4x-8

y=-4x+5/2

see how the slopes are the same but the y-int are different? they are parallel, so they never touch

Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4

Answers

Answer:

Distributive property

Step-by-step explanation:

−3.64⋅|−5.3|−1.5^3

help pls

Answers

Answer:

5

Step-by-step explanation:

its 45

Answer:

-22.667

Step-by-step explanation:

-3.64(5.3) - (1.5)³

-19.292 - 3.375 = -22.667

1. Which is greater 0.045 or 0.405?

Answers

Answer:

.038++++9675756-:-

Step-by-step explanation:

5582989(888888

The number 0.405 is greater than the number 0.045.

What is Decimal number?

A decimal number is a number that consists of a whole and a fractional part.

Given that;

The numbers are,

⇒ 0.045 and 0.405

Now,

In the numbers,

⇒ 0.045 and 0.405

The place value 4 in the number 0.045 = 4/100

And, The place value 4 in the number 0.450 = 4/10

Thus, The number 0.405 is greater than the number 0.045.

Learn more about the decimal number visit:

https://brainly.com/question/24342270

#SPJ2

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