A typical roulette wheel used in a casino has 38 slots that are numbered 1, 2, 3, ... , 36, 0, 00, respectively The 0 and 00 slots are colored green. Half of the remain ing slots are red and half are black. Also, half of the integers between 1 and 36 inclusive are odd, half are even, and 0 and 00 are defined to be neither odd nor even. A ball is rolled around the wheel and ends up in one of the slots; we assume that each slot has equal probability of 1/38, and we are interested in the number of the slot into which the ball falls.
a. Define the sample space S.
b. Let A = {0, 00}. Give the value of P(A).
c. Let B = {14, 15, 17, 18}. Give the value of P(B).
d. Let D = {x : x is odd}. Give the value of P(D).

Answers

Answer 1

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

For point a:

Space for results All possible outcomes are:

[tex]\to O = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,}[/tex]

           [tex]17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, \\ 29, 30, 31, 32, 33, 34, 35, 36, 0, 00}[/tex]

For point b:

[tex]\to P(A) = \frac{ \text{ \# of outcomes in A}}{ \text{ \# Total outcomes}} = \frac{2}{38} = 0.052[/tex]

For point c:

[tex]\to P(B) = \frac{ \text{ \# of outcomes in B}}{\text{ \# Total outcomes}} = \frac{4}{38} = 0.105[/tex]

For point d:

We consider that in D there are 18 elements (only Odd numbers in the range 1 to 36)

[tex]\to P(D) = \frac{ \text{\# of outcomes in D}}{\text{\# Total outcomes}} = \frac{18}{38} = 0.473[/tex]


Related Questions

4: The angles of a triangle are in the ratio 3:4:5. What is the measure of the smallest
angle?
A. 15°
B. 30°
C. 45°
D. 750

Answers

Answer:

sum of all angle = 180

given angle = 3X, 4 X AND 5 X

3 X + 4 X+ 5 X = 180

12 X = 180

X = 180/ 12

X = 15

X= 15 IS apply to given angle.

3 X= 3 ×15 = 45

4 X= 4 ×15 = 60

5 X = 5 ×15 =75

ANS; The smallest angle is 45

Step-by-step explanation:

in school 2/3 of the students study a language. of those who study a language2/5 Study French. find the ratio of students who study French to the students who don’t study French. give your answer in the simplest form

Answers

Answer:

The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]

Step-by-step explanation:

2/3 of the students study a language. Of those, 2/5 study french:

So the proportion of students who study French is given by:

[tex]\frac{2}{3} \times \frac{2}{5} = \frac{2*2}{3*5} = \frac{4}{15}[/tex]

Proportion of students who dont study French:

[tex]1 - \frac{4}{15} = \frac{15-4}{15} = \frac{11}{15}[/tex]

Ratio of students who study French to the students who don’t study French.

Division of fractions is the multiplication of the numerator by the inverse of the denominator. Ratio of a to b is a divided by b. So

[tex]\frac{\frac{4}{15}}{\frac{11}{15}} = \frac{4}{15} \times \frac{15}{11} = \frac{4}{11}[/tex]

The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]

Is Andrew correct or incorrect explain

Answers

Andrew is incorrect

because 2^28 = 268,435,456

follow me

Answer:

Andrew is incorrect.

Step-by-step explanation:

He is incorrect because instead of multiplying 2 x 28, he should have did 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2, which is 268,435,456.

I tm pretty sure this is correct, please comment if it is right or wrong

10√1/5 find the mixed surd..

Answers

Answer:

2√5............or..........4.47214

The answe is —————- what that person sai do

A student organization at a local college posted a poll on its website. After a semester, the results were tallied, and it was found that 95% of the respondents were in favor of raising fees to increase funding for student organizations. This conclusion was based on data collected from 5000 votes cast on the website. Which sampling technique is being used

Answers

Answer: voluntary response sampling

Step-by-step explanation:

Based on the information given in the question, the sampling technique that is being used is the voluntary response sampling.

A voluntary response sampling refers to a sample which is gotten when a researcher tells the members to join a particular sample and then the ones that are interested then joins. Such participants volunteer voluntarily and take part in the research studies and give their opinions on the topic.

Since the student organization at a local college posted a poll on its website and the interested students took part, it is a voluntary response sampling.

1) If Donkey Kong is on a bridge 638 feet in the air, 6 seconds after a shell
was released, which shell hit Donkey Kong and how do you know?
+

Answers

Answer:

5000inches

Step-by-step explanation:

i think is that!

The coefficients in the expansion of (x + y)^6 are

Answers

Answer:

Polynomial Degree:

6

Leading Term:

x⁶

Leading Coefficient:

1

Answer:

Step-by-step explanation:

hello :

here is an solution

Help please I will give Brainliest

Answers

Answer:

Reduce the expression, if possible, by eliminating common factors.

Exact form:

1/30

Decimal form:

0.03

Whats the volume of them combined

Answers

Answer:

72

Step-by-step explanation:

2x2x13=52

2x2x5=20

52+20=72

The cost of making copies at Store W is ​$6 regardless of the number of copies. The cost of making copies at Store Z is 50¢ per copy plus a ​$1 charge for the use of the machine. The total​ cost, c, of making n copies at either store can be represented by an equation. Write and graph a system to find how many copies you have to make for the cost to be the same at both stores. Use pencil and paper. If you have to make a small number of copies which store should you go​ to? If you have to make a large number of copies which store should you go​ to? Explain.
Write the system of equations. Choose the correct answer below.
A.
Store W
c=6
Store Z
c=0.50n−1
B.
Store W
c=0.50n−6
Store Z
c=1
C.
Store W
c=0.50n+1
Store Z
c=6
D.
Store W
c=6
Store Z
c=0.50n+1
Your answer is correct.
Graph the system of equations. Choose the correct answer below





(Anwser fast please)

Answers

i know this one give me a second

Nathan has $40 in a savings account. The interest rate is 5% per year and is not
compounded. How much interest will he earn in 1 year?
Use the formulai = prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and is the time in years.
Submit

Answers

Answer:

He will earn 2 dollars per year with 40 dollars in his account. the next year he will get 2.1 dollars.

Step-by-step explanation:

Use summation notation to write the series -1 + 2 + 5 + 8 + 11... for 10 terms, then evaluate the sum.

Answers

Answer:

-1 + 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26

10 terms

sum = 125

I am not sure how to solve this could anyone help???

Answers

Answer:

about 137 degrees

Step-by-step explanation:

see attached picture

5.6=I+4.09 what is I? I need help I just need answers in the 10 minutes please helpp​

Answers

Answer:

the answer should be I= 1.51

Answer:

i=1+0.51/1

Step-by-step explanation:

5.6=i+4.09

We move all terms to the left:

5.6-(i+4.09)=0

We get rid of parentheses

-i-4.09+5.6=0

We add all the numbers together, and all the variables

-1i+1.51=0

We move all terms containing i to the left, all other terms to the right

-i=-1.51

i=-1.51/-1

i=1+0.51/1

In need help with this

look at picture

Complementary angles

Answers

Answer:

x = 28

Step-by-step explanation:

x + 40 + 22 = 90      {Complementary angles}

        x + 62 = 90

              x = 90 - 62

              x = 28

22+(x+40)= 90
22+x+40=90
62+x=90
X= 90-62
X= 28 degrees.
Hope this helps .
Please mark me brainliest

i will give brainliest if your answer is correct

Answers

Answer:

Faces

Step-by-step explanation:

They both have 5 faces each....

Hope it helps!!!

Find the length of the side and I’ll give brainlyist

Answers

Answer:

the answer is about 7.5

Step-by-step explanation:

hope this helps

tell me if you want me to explain it

Wren and Jenni are reading the same book. Wren is on page 12 and reads 3 pages every night. Jenni is on page 7 and reads 4 pages every night. After how many nights will they have read the same number of pages? How many pages will that be?

Answers

Answer:

After 5 nights they will have read the same number of pages. It would be 27 pages.

Step-by-step explanation:

12+3x=7+4x

12=7+x

5=x

12+3(5)=27

7+4(5)=27

Hope this helps!:)

Wren: 12+ 3x
Jenni: 7+4x
So set them equal to each other to find the answer for how many nights it would take.

12+3x=7+4x
5+3x=4x
5=x
So 5 NIGHTS

To find how many pages that is, plug in 5 for either equation.
7+4(5)= 27
12+3(5)= 27
So 27 PAGES

Write 2.71x10-3 as an ordinary number.​

Answers

Step-by-step explanation:

[tex] {2.71 \times 10}^{ - 3} [/tex]

This can be rewritten as

[tex]2.71 \times \frac{1}{10^{3} } [/tex]

If we will solve this way,

[tex]\frac{2.71}{1000} = 0.00271[/tex]

But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.

From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.

If the exponent has a positive value, move TO THE RIGHT.

For example,

[tex]2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710[/tex]

Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.

in an election they are four canadates j k l and m Teri is drawing a pie chart to show the results the sector for j and k have been drawn​

Answers

Answer:

2+2=4

Step-by-step explanation:

An airplane is flying from Redville to leek.The airplane flies 50 miles East and then 180 miles South .how far is leek from Redville directly

Answers

Answer:

230

Step-by-step explanation:

I'm very confused please help me ASAP

Answers

Answer:

The degree of the equation is 5.

Step-by-step explanation:

At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.

What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:

(2x + 3) * (x² - 1)

In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:

(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)

= 2x³ - 2x + 3x² - 3

Now, we apply the same thing with the other two expressions:

(x + 1) * (x - 2)

= (x * x) + (x * -2) + (1 * x) + (1 * -2)

= x² - 2x + x -2

= x² - x - 2

For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:

(2x³ - 2x + 3x² - 3) * (x² - x - 2)

= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)

+ (-2x * x²) + (-2x * -x) + (-2x * -2)

+ (3x² * x²) + (3x² * -x) + (3x² * -2)

+ (-3 * x²) + (-3 * -x) + (-3 * -2)

= (2x⁵ - 2x⁴ - 4x³)  

+ (-2x³ + 2x² + 4x)

+ (-3x⁴ - 3x³ - 6x²)

+ (-3x² + 3x + 6)

Simplifying:

= 2x⁵ - 5x⁴ - 9x³ - 7x² + 7x + 6

The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.

Hope this helps

Solve the system using substitution. Show your work and give your answers as an ordered pair.​

Answers

Solution and answer below.

The distance between a chord and the center of a
circle is 4 cm. What is the radius of the circle if
the chord measures 16 cm?

Answers

It’s 4cm because the radius is half the diameter

If I have a ratio 2:6, then what is x/18?
f I have a ratio 5:7, then what is (x+3):7?

Answers

Answer:

1. x=6

2. x=2

Step-by-step explanation:

2:6

x:18

From 6 to 18, 6 was multiplied by 3. To keep the equality, we must multiply the other side by three as well. Therefore, x is equal to 2*3 which equals 6.

x=6.

5:7

(x+3):7

For this one, the second value did not change, so we know that x+3 has to equal 5. Therefore, x=2.

x=2

Which equation is correct? (6 points)
cot x° = opposite ÷ adjacent
sec x° = opposite ÷ adjacent
sec x° = adjacent ÷ opposite
cot x° = adjacent ÷ opposite

Answers

Answer:

option d or last one

GOOD LUCK FOR THE FUTURE! :)

Answer:

The answer is cotx=adjacent/opposite

Step-by-step explanation:

I took the test and this is correct!!

This graph shows the water temperature as a function of time.

Answers

Answer:

ioaiaifzkziz%syzjzxsbshshbsndnxjddd

2 3/4 + 5 1/2

PLEASE I NEED ANSWER URGENT

Answers

the answer is 8 1/4!!
Answer:
The answer is 8 1/4

so i isososo ooxsoaksksmmsmsns

Answers

✨math✨ yk just do your thing ask your teacher ig

A square plot is 14 meters long.Find its area?​

Answers

Answer:

Area of square= side*side

So we will have,

14*14

= 196cm²

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