A coin is tossed and a six​-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 5.

Answers

Answer 1

Answer:

1/12

Step-by-step explanation:

This type of probability is independent i.e the occurrence of one does not affect the other.

Probability = expected outcome/total outcome

For a coin:

The total sample space = {H, T} i.e 2

The probability of tossing a head will be:

P(a head) = 1/2

For a die:

Sample space S = {1, 2, 3, 4, 5, 6}

Total number of sample space n(S) = 6

If a number greater than 5 is rolled, the event outcome will be E = {6}

Pr(S>5) = n(E)/n(S)

Pr(S>5) = 1/6

The probability of tossing a head and then rolling a number greater than 5 is expressed as:

Pr(H and S>5) = Pr(H) * Pr(S>5)

Pr(H and S>5) = 1/2* 1/6

Pr(H and S>5) = 1/12

Hence the probability of tossing a head and then rolling a number greater than 5 is 1/12


Related Questions

A local BBQ restaurants offers 2 side dishes with a lunch plate. There are 7 side dishes. How many choices of side dishes does a customer have

Answers

Step-by-step explanation:

This is a question that bothers combination. Combination has to do with selection.

When selecting r objects out of a pool of n objects, the number of ways this can be done is:

nCr = n!/(n-r)!r!

If a local BBQ restaurants offers 2 side dishes with a lunch plate, and there are 7 side dishes, the number of choices that the customer have is expressed as:

7C2 = 7!/(7-2)!2!

7C2 = 7!/(5)!2!

7C2 = 7*6*5!/5! * 2

7C2 = 7*6/2

7C2 = 42/2

7C2 = 21 choices

Hence the customer has 21 choices of side dishes to make

Paula says that she can draw an array with a total of 17 counters placed in3 rows

Answers

Answer:

impossible

Step-by-step explanation:

17 divided by 3 is a number with a remainder

Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A'B'C'?

A. A'(4, 6), B'(6, 10), C'(7, 4)
B. A'(2, 3), B'(3, 5), C'(7, 4)
C. A'(4, 6), B'(6, 10), C'(14, 8)
D. A'(4, 6), B'(3, 5), C'(14, 8)

Answers

It is b I believe not 100% sure but yea ^^
I also think it’s B but not 100% sure

which one is right?

l/w or w/l

the w is width and the l is length

Answers

The correct Answer should be L/W. :)

Which property
If 9x=27, then 27=9x

Answers

Answer:

symmetric property

Step-by-step explanation:

x=y then y=x

The number of different simple random samples of size 5 that can be selected from a population of size 8 is

Answers

Answer:

Number of  different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways

Step-by-step explanation:

Step 1: Stating the combination formula

The number of selections of a number n, taking r at a time is given by the formula: [tex]\frac{n!}{(n - r!)r!}[/tex]

From the formula above, n is population size = 8

r is sample size = 5

Step 2: Substituting the values of n and r

Number of  possible selections =  8!/(8 -5)*5! = 8!/3! * 5!

Number of  possible selections = [tex]\frac{8*7*6*5*4*3*2*1}{3*2*1 * 5*4*3*2*1}[/tex]

Number of  possible selections = 56

Therefore, number of different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways

2. Niko was solving the equation 4(x-5)+7=13 and wrote as his first step 4x – 20+7=13. Which of the
following justifies this manipulation?
(1) the commutative property of multiplication
(2) the distributive property
(3) the multiplicative property of equality
(4) the additive property of equality

Answers

Answer:

2) The distributive property

GIVING BRAINLY!!!!! PLSSSSS HELPPPP

the sum of two whole numbers is 63 . The difference between these 2 whole numbers is less than 10. FInd all the possible pairs

Answers

Answer:

(32, 31) (33,30) (34, 29) (35, 28) (36,27) (37, 26)

Step-by-step explanation:

In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...

Answers

Answer: D

Step-by-step explanation:

0.684 and 0.1222

-4
- 2
What is the solution to the systems of equations shown above?
Helppp me :(

Answers

Answer:

6

Step-by-step explanation:

-4+-2  ?? did that hellp

what are the correct factor pairs of 20

Answers

the factor pairs of 20 are:
1x20
2x10
4x5

Rewrite the function by completing the square.
f(x) = x² – 12x – 29

Answers

Answer:

-6 and -65

Step-by-step explanation:

What is this rate written as a UNIT RATE?



6 miles in 2 hours

Answers

Answer:

3 miles in 1 hour

Step-by-step explanation:

6÷2=3 miles

2÷2=1 hour

There are 8 more girls than boys in a school play. The ratio of boys to girls is 5:7. How many boys and how many girls are in the play?

Answers

Answer:

The total number of boys and girls in the play is 48

Step-by-step explanation:

Don't ask how I know this, I just do.

The number of boys in school play will be 20 and number of girls in school play will be 28.

What do you mean by ratio ?

Ratio is the quantitative relationship between two values indicating how frequently one value contains or is contained within the other.

It is given that number of girls is 8 more than boys in a school play.

Ratio of boys to girls = 5 : 7

Let's assume the total number of boys in school play is x.

This meant the total number of girls in school play is :

= x + 8

We can write them in proportion form as :

x : x + 8 = 5 : 7

or solving it we get :

[tex]\frac{x}{x+8}[/tex] = [tex]\frac{5}{7}[/tex]

or

7x = 5(x+8)

7x = 5x + 40

7x - 5x = 40

2x = 40

x = 20

or number of boys in school play is 20.

So , number of girls in school play will be :

= 20 + 8

= 28

Therefore , the number of boys in school play will be 20 and number of girls in school play will be 28.

Learn more about ratios here :

brainly.com/question/2914376

#SPJ2

HELP ASAP BHYUKFCY FVCTUKF

Answers

Answer:

a

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

this is because both number are to the left of zero which makes both numbers negative which leaves you with one answer.

Chen recorded the number of texts he sent and the number of tweets he posted each day for a month. The equation y = 5x + 4,
where x is the number of texts and y is the number of tweets, models the relationship between these two quantities. Identify the
slope and explain its meaning within this context.


Answers

Answer/Step-by-step explanation:

The relationship between number of texts, x, and number of tweets, y, is represented in the slope-intercept form by the equation, y = 5x + 4.

The slope of this equation is 5.

In this context, the slope, 5, means 5 tweets are made for every 1 text sent each day.

This slope is positive meaning, as text sent increases, also, tweets increased.

Select the values that correctly complete the problem.

a = __
b = __
c = __
d = __
e = __

Answers

a =  ✔ 2

b =  ✔ 4

c =  ✔ 3

d =  ✔ 2

e =  ✔ 3

Can someone please explain this to me ?

Answers

Answer:

Not sure how to explain but your answer is x=11

Step-by-step explanation:

The two triangles are equal to each other so if angle B is 44 degrees, angle E on the correlating triangle would also be 44 degrees.

What is the height of a solid cylinder with a mass of 26.05 g, a diameter of 3.56 cm, and a density of 2.72 g/cm^3?

Answers

Answer:

h = 0.962 cm

Step-by-step explanation:

Given that,

Mass of a solid cylinder, m = 26.05 g

The diameter of a cylinder, D = 3.56 cm

Radius, r = 1.78 cm

The density of a cylinder is 2.72 g/cm³

We need to find the height of the cylinder. Let it is h. We know that mass per unit volume is equal to density of an object. It can be given by :

[tex]d=\dfrac{m}{V}\\\\d=\dfrac{m}{\pi r^2 h}\\\\h=\dfrac{26.05}{\pi \times (1.78)^2\times 2.72}\\\\h=0.962\ cm[/tex]

So, the height of the cylinder is 0.962 cm.

Find the midpoint of the two points on the circle (-2,1) and (5,-4)

Answers

Answer:

1.5,-1.5

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer: (1.5,-1.5)

Step-by-step explanation:

I hope it’s right

The distance between the points (2, -4) and (3, 8) is:

Answers

Answer:

1,12

Step-by-step explanation:

Solve the system by Substitution.
x−y=7
−2x+7y=−19
A. No Solution
B. (6, -1)
C. (7, 6)
D. (6, 5)

Answers

Answer:

x=6 y=-1

Step-by-step explanation:

x=7+y

-2(7+y)+7y=-19

x=7+y

-14+5y=-19

x=7+y

5y=-5 ===> y=-1

x=7-1

y=-1

x=6

y=-1

(9^3 ● 9^5 ● 9^-8)^14

Answers

Answer:

1

Step-by-step explanation:

(9^3 · 9^5 · 9^-8)^14 =9^((3 + 5 - 8)·14) =9^(0·14) =9^0 =1

Jewelry store buys a gold watch to sell the price of the watch is marked up 45% the store sells the watch for $2610 how much did the jewelry store pay for the watch

Answers

Answer:

45 x 2610

   100             = 1174.5

Step-by-step explanation:

Please help it’s a long test I’ve been at it for 2 hours

Answers

Answer:

the answer is A

Step-by-step explanation:

Hoped this helped u

Answer: Vertical Angles

Hope this helps :)

e collect diswers.
Which statements are true about the function graphed here?

Answers

Answer:

Step-by-step explanation:

Just took the test I hope this helps a little

The y-intercept of line is at (0, -6) and the domain is (-∞, ∞). Then the correct options are A and D.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The graph of the line is shown below.

The line intersects the y-axis at (0, -6). Then the y-intercept of the line is (0, -6).

The domain of the linear function will be a real number.

And the range of the linear function is also real number.

Then the correct options are A and D.

The graph is given below.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Solve for x. Give your answer as two exact values: please show steps
2^2 − 7 − 13 = 0

Answers

Answer:

No Solution

Step-by-step explanation:

2^2-7-13=0

4-7-13=0

-3-13=0

-16=0

No Solution

Three pounds of bananas cost $7. How many pounds of bananas per dollar is that?
Round your answer to the nearest hundredths place.

Answers

Answer:

0...

Step-by-step explanation:

Could anyone help with “b” on the bottom. I’m not sure what it’s asking. Thank you!!

Answers

Answer:

yes

Step-by-step explanation:

the question is asking if the mean helped you find the number that pops up the most, so in this case 3.

by using the mean we will do

0+0+3+3+5+7+2+2+3+3+3+5 divided by 12

giving us a result of 3, in this case YES it does help at better explaining the typical value

Solve 7 + x - 15 = -2 2/3

Answers

Answer: i am 99.9% sure the answer is 16/3 or the other forms of it 5.3 repeating three or mixed number 5 1/3

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