an ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. this sum is recorded as the outcome of a single trial of a random experiment. compute the probability of each of the following events. event : the sum is greater than 5. event : the sum is divisible by 2 or 3 (or both).

Answers

Answer 1

Probability of sum greater than 5 event is reduces to 13/18 .

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

probability of getting number whose sum is divisible by 2 and 3 both is 6/36 which reduces to 1/6 .

The sample space of rolling two dice has 36 possible outcomes.  Remember that the "sample space" is a set which contains all possible outcomes.   (1,1)(2,1)(3,1)(4,1)(5,1)(6,1)(1,2)(2,2)(3,2)(4,2)(5,2)(6,2)(1,3)(2,3)(3,3)(4,3)(5,3)(6,3)(1,4)(2,4)(3,4)(4,4)(5,4)(6,4)(1,5)(2,5)(3,5)(4,5)(5,5)(6,5)(1,6)(2,6)(3,6)(4,6)(5,6)(6,6)

The probability of the sum is greater than 5 event is 26/36 which reduces to 13/18 .And the probability of getting number whose sum is divisible by 2 and 3 both is 6/36.

To learn more about probability visit brainly.com/question/11234923

SPJ4


Related Questions

which choice is equivalent to the expression below ^-216​

Answers

Answer:

B. 6i√6

General Formulas and Concepts:

Algebra II

Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define expression

√-216

Step 2: Simplify

Factor:                     √-1 · √216Simplify:                   i · 6√6Multiply:                   6i√6
B because when you take the square root of a negative number, it is imaginary (i). That eliminates A,C,D. When you take the square root of -216, the radical will no longer be negative since you identified it as imaginary. The greatest perfect square that you can take from 216 is 36.( 36 x 6= 216). So the square root of 36 is 6. So 6i radical 6 which is B. You can’t simplify the 6 inside the square root because it is not a perfect square. Hope this helps!

Find the missing side in the right triangle, Round to the nearest tenth,

Answers

Hello!

[tex]\large\boxed{c = 12.65}[/tex]

Use the Pythagorean Theorem to solve for the hypotenuse:

a² + b² = c²

Plug in the given values:

12² + 4² = c²

144 + 16 = c²

160 = c²

Take the square root of both sides:

c = √160

c ≈ 12.65.

Answer:

12.6

Step-by-step explanation:

12 square plus 4 square then the root of that equals 12.6  

(12-2)²+(6-4-7²) PLSS ANSWER QUICK 30 points

Answers

Answer:

151

Step-by-step explanation:

what is the anwser 5 > x + 2

Answers

Answer:

x < 3

Step-by-step explanation:

please mark me brainliest

Answer:

x<3

Step-by-step explanation:

5 > x + 2 sub 2 from both sides

x<3

how many solutions 3x-12=24

Answers

Answer:

1 solution

Step-by-step explanation:

x = 12

2x^3y + 18xy - 10x^2y - 90y part b: rewrite the expression completely factored.

Answers

Answer:

Part A: Factor out the GCF. In this case, the GCF is 2y. So it looks like

2 x^3 * y+18xy-10 x^2 * y-90y=2y (x^3 - 5 x^2 + 9x-45)

Part B: The result from above will need to be factored by grouping.

Part C: If you switch the terms, the factoring will work out differently, but at the end, the factorization will be the same.

Step-by-step explanation:

4/5 + 3/15 - 2/3= help me please

Answers

Your answer would be: 1/3

Happy holidays!! :)

For a crafts fair, Charlie made 25 necklaces with 96 beads in each necklace. Shaniqua made 28 necklaces with 84 beads in each necklace. Who used more beads? _____________________ How many more beads? ____________________

Answers

Answer:

A. Charlie

B. Charlie used 48 more beads than Shaniqua

Step-by-step explanation:

Charlie:

25 necklaces with 96 beads in each necklace.

Total beads used = number of beads per necklace × number of necklace

= 96 × 25

= 2,400 beads

Shaniqua:

28 necklaces with 84 beads in each necklace.

Total beads used = number of beads per necklace × number of necklace

= 84 × 28

= 2,352 beads

A. Charlie used more beads

B. 2,400 beads - 2,352 beads= 48 beads

Charlie used 48 more beads than

Shaniqua

11. What is the range of values of x for a triangle's third side given side measures
of 8 and 15 for the other two sides?
A) Between 8 and 15
B) Between 7 and 23
C) Less than 7, greater than 23
D) Between 8 and 23

Answers

Answer:

B

Step-by-step explanation:

:-)

Answer:

between 7 and 23

Step-by-step explanation:

what are the partial products to 32 x 405?

(35 points)

Answers

Answer:

12960

Step-by-step explanation:

(30+2)*405

405*30 + 405*2

12150+810

12960

Hope this helps plz hit the crown :D

No errors, a calculator never lies

Solve the following problems:
Find x, y

Answers

Answer:

x=1.25, y=1.75

Step-by-step explanation:

The two triangles formed (one triangle with side lengths of 5, 7, 8 and another with sides 5+x, 10, and 7+y) are similar, because they share the same angle measures.

Now, 2 sides given that we can compare ratios with are the side with length 8, and the side with length 10. 10/8= 1.25, which is the ratio of the sides on these 2 triangles.

Now we want to find what the side '5+x' is equal to. To do that we can use our  ratio, and multiply 5 by 1.25 to find '5+x'. This is 6.25. To find x, all we need to do is subtract 5 from 6.25, which is 1.25.

Let's find y now. Do the same thing that we did with the side '5+x'; find what '7+y' is by multiplying 7 by 1.25, which is 8.75. 8.75-7= 1.75.

Hope this helps! :)

factor the gcf out of the expression: -6x^3 - 9xy + 18x

If you could help me out Thatd be great!

Answers

Answer:

-207xy

Step-by-step explanation:

-6x^3 - 9xy + 18x

-216x -9xy +18x

-225xy + 18x

-207xy

If I'm not mistaken.

Is perpendicular to ? Explain. Yes, because the slope of is and the slope of is . Yes, because the slope of is and the slope of is . No, because the slope of is and the slope of is . No, because the slope of is and the slope of is

Answers

Answer:

c

Step-by-step explanation:

Answer:

yes because the slopes are the negative reciprocal of eachother

Step-by-step explanation:

What is the result when 3x4 + 10x3 + 14x2 + 12x + 5 is divided by x + 1?

Answers

Answer:

3x^3 + 7x^2 + 7x + 5

Step-by-step explanation:

Use long division for polynomials.

expand the expresion 1/2(3+4t-10)=

Answers

Answer:

3/2 + t - 5

Step-by-step explanation:

1/2(3+4t-10)

Open brackets

3/2 + 4t/2 - 10/2

3/2 + t - 5

I hope this helps:)

Answer:

2t+-7/2

Step-by-step explanation:

1

2

(3+4t−10)

=(

1

2

)(3+4t+−10)

=(

1

2

)(3)+(

1

2

)(4t)+(

1

2

)(−10)

=

3

2

+2t−5

Is this relation a function? Explain how you know.

Answers

Answer:

The relation is a linear function with the equation: y = -6/5x + 3/5

Step-by-step explanation:

                                            Question 5)

The given graph is a straight line.

We know that the graph of a linear function is a straight line that can be written in the form

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

The slope of the line can be determined by taking two points

(3, -3)

(-2, 3)

Finding the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(3,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:3\right)[/tex]

[tex]m=\frac{3-\left(-3\right)}{-2-3}[/tex]

[tex]m=-\frac{6}{5}[/tex]

From the graph, the y-intercept can be obtained by setting x=0 and check the corresponding y-value of y.

or substituting m = -6/5 and (3, -3) in the slope-intercept form to determine y-intercept 'b'.

[tex]y = mx+b[/tex]

[tex]-3\:=-\frac{6}{5}\left(3\right)\:+\:b[/tex]

[tex]-\frac{18}{5}+b=-3[/tex]

[tex]b=\frac{3}{5}[/tex]

now substituting m = -6/5 and b = 3/5 in the slope-intercept form to determine the equation of the linear function

y=mx+b

y = -6/5x + 3/5

Therefore, the relation is a linear function with the equation: y = -6/5x + 3/5

Will give brainliest! Please help!!
Anna spins the spinner below 30 times, and it lands on C 8 times.

Use this information to answer questions 7-10. 6 What is the theoretical probability of landing on C?
What is the experimental probability of landing on C?
What would you expect to happen to the experimental probability as you spin more and more times?
if you were to spin the spinner 1,000 times, about how many times would you expect it to land on C?
Would you expect it to land on C exactly that many times?​

Answers

Answer:1.16 to 30 times     2.8 to 30 times     3.less likely to land on c

4.125 times       5.Yes

Step-by-step explanation:The probability is unknown but an educated guess.

Which inequality is true when x = 7?​

Answers

Answer:

Photo?

Step-by-step explanation:

Answer:

every umber except for 7 is false

Step-by-step explanation:

what is the answer to -2 2 3+ 1 5 6× 2

Answers

Answer:

89 is the answer.

Step-by-step explanation:

Answer:

yr ans is 89.

hope it helps.

PLEASE HELP! MARKING BRAINLIEST!

Answers

Answer:

In the first one, the decimal moves twice. In the second, once, none in the third, andin the fourth, four times.

The access code to a houses security system consists of 6 digits. How many different codes are available if each digit can be repeated? Please show work.

Answers

Answer:

1,000,000

Step-by-step explanation: Since there are 10 possible digits, we know that there is a 1/10 chance for any possible digit in any slot. So, since there are 6 slots we can do 1/10^6, or 1 in 1 million.

So, 720 ways are available if each digit can be repeated

Combination:

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

The access code to a house security system consists of 6 digits.

[tex]6!=6\times 5 \times 4\times 3\times 2\times 1\\6!=720[/tex]

Learn more about the value combination:

https://brainly.com/question/10560518

Make x the subject of the formula
х
+b=
a

Answers

Answer:

x = a(c - b)

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

x/a + b = c

Step 2: Solve for x

Subtract b on both sides:                    x/a = c - bMultiply a on both sides:                     x = a(c - b)

For every 6 cans Oliver collected for recycling he earned 9 cents. After he collected 60 cans, how much money would he have earned?

Answers

Answer:

90 cents

Step-by-step explanation:

6 cans collected --- 9 cents

60 cans collected --- [tex]\frac{60}{6}[/tex] × 9 cents = 90 cents

Answer:

Step-by-step explanation:

6cans=9cents

60cans=60*9=540÷6

90.

whats the answer giving brainliest :D

Answers

Answer: D

Step-by-step explanation:

the product of 7 and b

Answers

Answer:

B is a variable so you would either get 7 times whatever "B" is or 7b.

Step-by-step explanation:

Answer:

7 x b

7b

7 * b

(any of these would work)

Step-by-step explanation:

the word product indicates that 7 and b are multiplied

5x3 + (6*7+4) - 10 + 8^14 -16 + 1205 - 86 + 13 * 84 ÷ 12 = _______. PLS HELP WILL GIVE BRAINLIEST!!!

Answers

Answer:

5x3 + 4398046512349

Step-by-step explanation:

Use PEMDAS

Parenthesis, Exponents, Multiply, Divide, Add, Subtract

Answer:

5x3 + 4398046512349

Step-by-step explanation:

Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify.

Answers

Answer:

should be c

Step-by-step explanation:

Answer: D

Step-by-step explanation:

a*ex

PLSSSS HELP END OF GRADING PERIOD IS TODAY

Answers

Answer:

18,750

Step-by-step explanation:

If you add up all of the expenses you get 18,750.  I hope this helps!

Do you give brainliest?

Find the greatest common factor of 28 and 63

Answers

Answer:

The Greatest Common Factor (GCF) for 28 and 63, notation CGF(28,63), is 7.

Step-by-step explanation:

The factors of 28 are 1,2,4,7,14,28;

The factors of 63 are 1,3,7,9,21,63.

So, as we can see, the Greatest Common Factor or Divisor is 7, because it is the greatest number that divides evenly into all of them.

Brainlist maybe? :)

What is the answer to this question

Answers

Answer:

a. 80g fish

b. 200g butter

Step-by-step explanation:

a. you have to divide it by 3 because 2 is 1/3 of 6 so 240/3 = 80g of fish.

b. multiply by 2.5 because 15 is 2.5 times 6 so 80*2.5=200g of butter.

Answer:

a) 80g of fish

b)200g of butter

Step-by-step explanation:

a) 240/6=40g per people

40*2=80

b)80/6=13 1/3g per people

13 1/3*15=200

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