A probability experiment is conducted in which the sample space of the experiment is S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event E={2, 3, 4, 5, 6, 7}, event F={5, 6, 7, 8, 9}, event G={9, 10, 11, 12}, and event H={2, 3, 4}. Assume that each outcome is equally likely. List the outcome s in For G. Now find P( For G) by counting the numb er of outcomes in For G. Determine P (For G ) using the General Addition Rule.

Answers

Answer 1

Answer:

The answer is " [tex]\bold{\frac{2}{3}}[/tex]"

Step-by-step explanation:

Given set:

[tex]\to F \ or\ G = \{ 5,6,7,8,9,10,11,12\}[/tex]

In the above-given set, there are 8 elements and 12 possible outcomes so, the equation is:

[tex]\to P( F\ or \ G) = \frac{8}{12}[/tex]

                      [tex]= \frac{2}{3}[/tex]

by using the general addition Rule:

[tex]\to P(F \cup G) = P(F) +P(G)- P(F \cap G)[/tex]

                    [tex]=\frac{5}{12}+\frac{4}{12}- P(E \cap H)\\\\=\frac{6}{12}+\frac{3}{12}- \frac{1}{12}\\\\=\frac{6+3-1}{12}\\\\=\frac{8}{12}\\\\=\frac{2}{3}\\\\[/tex]


Related Questions

Kent earns $12.75 per hour at his part time job. Kent worked 18 hours last week. This week he spent 1/3 of his money on car repairs. How much did the repairs cost?

Answers

ANSWERS TO THE WHOLE QUIZ:

1. 13.23

2. 1/2

3. 0.25

4. 31.16

5. 76.50

Your Welcome and have a great day!

( I had to fail the quiz to give the answers)

Plz help i only need c im confused lol 6th grade history

Answers

Answer:

War

Step-by-step explanation:

Criminals

Number 2 : How old is Geraldo?

Answers

it’s b because you substitute the 11 in and then you add 3 to it which would be 14 then you add the other 11 which would be equal to 25

Question 1

1 pts

A high school gym teacher records how much time each student requires to complete a one-mile run.

This

is an example of measuring a continuous variable.

Answers

Answer:

True : It is an example of a continuous variable

Step-by-step explanation:

Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.

Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.

On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.

(i need this ASAP)
Which of the following is an
arithmetic sequence?
A 1, 3, 6, 10, 15, …
B −8, −11, −14, −17, −20, …
C 48, 24, 12, 6, 3, …
D 1, 12, 123, 1234, 12345, …

Answers

Answer:

A

Step-by-step explanation:

is there a need for explanation

Please help ASAP this is timed

Answers

Answer:

the answer is 30 with 75 kids voting for drinks in total

Answer:

30 students

Step-by-step explanation:

45 divided 3 (the numerator of 3/5) is 15 so 1/5 is 15. 5 minus 3 =2. so 2/5 students picked sprite. and 15 times 2 equals 30. easy

Divide and check your answer. 6/938

Answers

6/938 = 0.006 I think that’s correct

Does anyone stan Twice??​

Answers

Meeeeeeeeeeeeeee I doooo

Answer:

This is literally me.

Step-by-step explanation:

Do yoi think you can sovle this?
Free brainlest for answer, 25 points.

Answers

Answer:

23 did i get it?

How do you find the slope-intercept form from two points?

Answers

Answer:

Rise over run.

Step-by-step explanation:

If you have learned rise over run you will get it.

Write 45%of m as an expression

Answers

Answer:

nh

Step-by-step explanation:

2. What is the difference?
Complete the subtraction sentence.
5-5=

Answers

Answer:

0

Step-by-step explanation:

For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is r = 0.52. If you had measured tail length in centimeters instead of millimeters, what would be the correlation?

Answers

Answer:

The correlation coefficient  is r = 0.52

Step-by-step explanation:

From the question we are told that

            The correlation coefficient  is r = 0.52

 Generally correlation has no unit and is not affected by unit (i.e it show the ratio between two quantities )

Hence a change of the unit of measurement of  length from cm to mm will not affect the correlation coefficient r hence the value will still remain  r = 0.52

Answer:

Step-by-step explanation:

Question 2

20 pts

If the domain of the coordinate transformation f(x, y) = (y + 2,- x - 4) is (1,-4), (3,-2), (0.-1), what is

the range?

O (-5,-2), (-7,0).(-4,1)

O (3.0), (5.-2), (2,-3)

0 (0,3), (-2,5),(-3,2)

O (-2,-5), (0, -7), (1, -4)

Answers

Answer:

D. (-2,-5), (0, -7), (1, -4)

Step-by-step explanation:

From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of [tex]f(x, y) = (y+2, -x-4)[/tex], which are: [tex]A(x,y) = (1, -4)[/tex], [tex]B(x,y) = (3,-2)[/tex] and [tex]C(x,y) = (0,-1)[/tex].

Then we proceed to find all elements of range:

[tex]A(x,y) = (1, -4)[/tex]

[tex]f(1,-4) = (-4+2,-1-4)[/tex]

[tex]f(1,-4) = (-2,-5)[/tex]

[tex]B(x,y) = (3,-2)[/tex]

[tex]f(3,-2) = (-2+2,-3-4)[/tex]

[tex]f(3,-2) = (0,-7)[/tex]

[tex]C(x,y) = (0,-1)[/tex]

[tex]f(0,-1) = (-1+2,0-4)[/tex]

[tex]f(0,-1) = (1,-4)[/tex]

Which corresponds to option D.

Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)

Answers

The answer is (-2,1)

38% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ (a) exactly​ three, (b) at least​ four, (c) less than eight.

Answers

38% were sus but like a man so it’s not a finches he jams 37263 so it’s a a is the ANSWER (A.)

Find area of the figure :)

Answers

768 square meters.

We can break it down into two shapes, a rectangle and a triangle.

Rectangle:

[tex]a = b \times h[/tex]

[tex]a = (48) \times (11)[/tex]

[tex]a = 528m^{2} [/tex]

Triangle:

[tex]a = \frac{b \times h}{2} [/tex]

[tex]a = \frac{(48) \times (10)}{2} [/tex]

[tex]a = \frac{480}{2} [/tex]

[tex]a = 240m^{2} [/tex]

Add them together:

[tex]528m^{2} + 240m^{2} = 768m^{2} [/tex]

Owen earns a base salary of $925 per month as a salesman. In addition to his salary, he earns $85 per product that he sells. If his goal is to earn more than $4,500 per month, how many products does he need to sell? what would be the problem and solution?

Answers

Answer:

43

Step-by-step explanation:

9. Mr. Stevenson is ordering shirts and hats for his Boy
Scout Troop. There are 60 scouts in the troop.
Hats come in packs of 3, and shirts come in packs of
5. What is the least number of packs each he
should order so that each scout will have 1 hat and
1 shirt, and none will be left over?

Answers

Answer:

20 hat packs and 12 shirt packs

Step-by-step explanation:

Scout total troops of boys is 60

Hat come in packs is 3 and shirts come packs of 5 .Thus answer to above question 20 hats and 12 shirts at least

Explanation:

At least no of hats -60/3-20

at least no of shirts -60/5-12

Thus we conclude that the total of at least shirts 12 and hats is 20 is true

To know more about  troops

https://brainly.com/question/12539881?referrer=searchResults

anybody know this and can help me ?

Answers

What they said ^^^. Hopefully this helps you :)

what is 2848448 X 39494948​

Answers

Answer:

1.12499306E14

Step-by-step explanation:

i did the math

what is point B on the number line?!?

Answers

It’s= -0.6
(Hopefully it helped)

Answer:

-0.4

hope this helps :)

PLEASE ANSWER ASAP I ONLY HAVE 30 MINUTES please

Answers

can you add a picture of the triangles that it’s talking abt
Pls put a pic of the triangles so I can it Thxs

what are the steps we should follow to solve and equation

Answers

PEMDAS is what you could possibly use

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 65% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 35%. There is only a 75% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)

Answers

Answer:

0.49

Step-by-step explanation:

We apply conditional probability to solve this question.

We have Events X and Events Y

P(X) = Probability Christine fails the course = ??? Unknown

P(Y) = Probability Christine finds a tutor

= 0.35

P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75

P(X|Y) = Decrease in her probability of failing = 0.35

P(X|Y') = Probability that she will fail the course if she does not have a tutor

P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')

P(X) = 0.35 × 0.75 + 0.65 × 0.35

P(X) = 0.2625 + 0.2275

P(X) = 0.49

The probability that Christine fails the course is 0.49

what is the length of the missing side , x

Answers

could you post a pic of what the problem you’re trying to figure out??

Answer:

Yes please i really need it

Step-by-step explanation:

ms.khan ask her math students to find an equation of a line which has a graph parallel to line y=-2x+1 and which passes through the point (4,-2) n

2x+y=0

2x+y=6

x-2y=-10

x-2y=8

Answers

Answer:

y=-2x+b

-2=-8+b

6=b

y=-2x+6

so

2x+y=6

what is the rectangular prism of 2 units and 7 1/3

Answers

Answer:

it could be 14 2/6 units squared

Step-by-step explanation:

idkI don’t know but for area is units squared and for volume it has units cubed

Who can help me with 9th grade math and got zoom?

Answers

Answer:

Me, I'm in 12th grade so sure. ^‿^

Step-by-step explanation:

write an equivalent fraction of 4/5 with the denominater 25​

Answers

Answer:

20/25

Step-by-step explanation:

to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25

The correct answer would be 20/25
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