Suppose that Eitan rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the
sum of the dice is 8 and B be the event that Eitan rolls doubles. Using the sample space of possible outcomes
below, answer each of the following questions,
What is P(A), the probability that the sum of the dice is 8?
What is P(B), the probability that Eitan rolls doubles?
What is P(A and B), the probability that the sum of the dice is 8 and Eitan rolls doubles?
Are events A and B independent?
Choose 1 answer:
A Yes, events A and B are independent events.
No, events A and B are not independent events.

Answers

Answer 1

Given :   Eitan rolls a fair six-sided die and a fair four-sided die simultaneously. A be the event that the sum of the dice is 8 and B be the event that Eitan rolls doubles

To find : probability of event A  , event B  , Event A or B  , Event A & B

Solution:

Six  Sides  Dice has { 1 , 2 , 3 , 4 , 5 ,6  }

4 Sides Dice has  = {  1 , 2 , 3 ,  4 }

Total possible outcome = 6 * 4  = 24

n(S) = 24

A  = Sum of Dice  = 8

(4 , 4)  , ( 5 , 3) , ( 6 , 2)

n(A) = 3

B  =   Double  ( means same number on each Dice )

B = ( 1 , 1) , (  2, 2) , ( 3 , 3) , ( 4, 4)

n(B) = 4

A U B  = ( 1 , 1) , (  2, 2) , ( 3 , 3) , ( 4, 4) ( 5 , 3) , ( 6 , 2)

n (A U B )   =  { 6 }

A ∩ B = { 4 , 4}

n(A ∩ B)  = 1

Probability of Event A  =  3/24  = 1/8

probability of Event B = 4/24   = 1/6

Probability of Event A or B  = 6/24  = 1/4

Probability of Event  A and B = 1/24

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Answer:

2m by 15m

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The tent shown is a triangular prism. What is the amount of space inside the tent?


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The length of the tent to the nearest foot, from the front to the back is 42 ft. the total amount of space inside the tent is 816.83 cubic feet.

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A. The length of the tent to the nearest foot, from the front to the back

= 15 + 6 + 15+ 6

= 42 ft

B. Given that the tent is in the shape of a triangular prism the volume of the prism will be given by:

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Answers

answer:288
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that equals 36 , which is the area for 1 wall.
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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:


A phone sells for $245. It is now on sale for off the original price.

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C. $68
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Answers

Answer:

$25

Step-by-step explanation:

[tex]current \: selling \: price = 245 \\ 10 \: percent \: of \: 245 = \frac{10}{100} \times 245 \\ = 0.1 \times 245 = 24.5 \\ 25 \: to the nearest dollar \\ he \: will \: pay \: 25dollars \: less[/tex]

$25

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Step-by-step explanation:

what is the sum of 10000+101010

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Answer:

10000+101010 = 111010

[tex] \orange{ \boxed{ \sf{111010}}}[/tex]

Answer:

10000+101010 = 111010

Step-by-step explanation:

10000+101010 = 111010

Question 10 of 10
Which of the following graphs is described by the function given below?
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Answers

Answer:

Graph A

Step-by-step explanation:

The y intercept of the graph is (0, -7), which is what the graph's y intercept lies on.




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Answers

given:

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to find:

the circle's radius.

solution:

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[tex]r = \frac{37.68}{2\pi} [/tex]

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Answers

Answer: lower death rates

Step-by-step explanation:

In an RPG game, each player can choose among 5 basic classes: Mage, Warrior, Archers, Priests, Monks. Each basic class can advance to 4 sub-classes. If each character can have two sub-classes at the same time, how many different combinations are there?

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Answer:

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Step-by-step explanation:

wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc

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#1

49y²-9(7y)²-3²(7y-3)(7y+3)

#2

3x²-3x-903(x²-x-30)3(x-6)(x+5)

#3

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The running event is 3.1 miles long. Supposed it takes you 8 minutes to run a mile. What this time allow you to reach your goal? Explain your reasoning. At 8 minutes per mile, it would take you 10 minutes to run 3.1 miles. You cannot meet your goal because your total running time added to your swimming and biking times is less than 100 minutes

Answers

The time it would take you to run 3.1 miles given the time it takes you to run a mile is 24 minutes 48 seconds.

Wha is multiplication?

Multiplication is a mathematical operation that is used to determine the product of a number. The sign used to represent multiplication is ×.

How long would it take you to run 3.1 miles?

In order to determine the time, multiply 3.1 miles by 8 minutes

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Step-by-step explanation:

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So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]

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Answer: 50 degrees

Step-by-step explanation:

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Which of the following are solutions to the equation below?

Check all that apply.

4x^2 + 20x + 25 = 49

A. x = -1

B. x = 1

C. x = 6

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Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve the given equation ~

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 - 49 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x - 24 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4( {x}^{2} + 5x - 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0[/tex]

Hence, we get -6 and 1 as our roots ~

So, the correct choices are : B and D

please read the picture and help

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Answer:

A.) (-4,-2)

Step-by-step explanation:

Because the lines intersect

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it'll be (2,3)

hope it helps...!!!

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Answer:

○ [tex]\displaystyle \textcolor{black}{C.}\:triangle[/tex]

Explanation:

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I am joyous to assist you at any time.

The cost of tuition at a community college is $12,000 per academic year. Alejandro is eligible for $7,500 in financial aid, and he will save money for one year to pay for the rest of his first year of college. What is the minimum amount he needs to save each month? Question 9 options: $375 $450 $750 $600

Answers

The minimum amount he needs to save each month in order to be able to pay for his first year of college is $375.

What is the mininum monthly saving?

The first step is to determine the total amount he needs to save.

Amount he needs to save = $12,000 - $7500 = $4,500

The second step is to divide $4500 by 12.

4500 / 12 = $375

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