In a casino in Atlantic City, there are two slot machines: one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20 % of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random and put a coin into it. Given that you lose that first bet estimate the probability that the machine you selected is the more generous of the two machines.
1. What do I know?
2. What do I want to find out?
3. What do I expect the answer to be?
4. How do I go from what I know to what I want to find?
5. Is the answer consistent with what I expected?

Answers

Answer 1

Answer:

probability = 0.5294

1) what i know is that there are two machines

2) the probability of choosing a machine that pays 20% of the time

3) expected answer = 0.5294 = 52.94%

4) buy making some assumptions while making the calculations

5) yes

Step-by-step explanation:

Given data:

Number of machines = 2

Assuming probability of machine 2 = 20% = 0.20

Assuming probability of machine 1 = 10%  = 0.10

since both machines have the ability to be generous i.e. pay 20% all the time

P( machine 1 is generous ) = P( machine 2 is generous ) = 0.5

this is since there are only two machines

hence find the probability that the chosen machine ( machine 1 ) is the generous machine after the player losses its first bet

P ( Machine 1 is generous | first bet lost )

= [tex]\frac{P( machine 1 is generous n lost) }{p(lost)}[/tex]   = [tex]\frac{(1-p(pays|machine 1 is generous))*p(machine 1 is generous)}{[((1-0.10)*0.5)+ ((1-0.20)*0.5)]}[/tex]

= [tex]\frac{(1-0.10)*0.5}{0.85}[/tex]  = 0.5294

This the probability that Machine 1 is generous after the player losses the first bet

1) what i know is that there are two machines

2) the probability of choosing a machine that pays 20% of the time

3) expected answer = 0.5294 = 52.94%

4) buy making some assumptions while making the calculations

5) yes

         


Related Questions

Which expression can be used to find 80% of 120?

Answers

Answer: the expression (120/100)*80 results in 80% of 120

Step-by-step explanation:

PLS SOLVE!! n+5 / -16 = -1

Answers

Answer:

The answer is n = 11.

Step-by-step explanation:

Answer:

n = 11

Step-by-step explanation:

n + 5 =  -1

 -16

n + 5 = -1 (-16)

n = 16 - 5

n = 11

Most major ski resorts offer family programs that provide ski and snowboarding in- struction for children. The typical classes provide four to six hours on the snow with a certified instructor. The following data are the location and the daily rate at 6 ski resorts reported on January 20, 2006. Resort Location Daily Rate Beaver Creek Colorado $137 Deer Valley Utah $115 Diamond Peak California $95 Hunter New York $79 Mount Bachelor Oregon $83 Butternut Massachusetts $108 How many variables are in the data set? ______________ Use whole number, example 3

Answers

Answer:

2

Step-by-step explanation:

Given the data:

Resort___________Location _____Daily Rate

Beaver Creek_____ Colorado______ $137

Deer Valley________ Utah_________$115

Diamond Peak______California_____ $95

Hunter____________New York_____ $79

Mount Bachelor_____Oregon______ $83

Butternut________ Massachusetts__ $108

The dataset above has two variables wgjich corresponds to the characteristic of each distinct element in the dataset. The variables are usually recognized as columns in a tabular dataset. The variables in the dataset above are :

Location and Daily rate which are attributes of each distinct Ski Resorts which corresponds to elements of the data.

Which of the following expressions are equivalent to -x/y

Answers

Answer:

-z/e

Step-by-step explanation:

-x/y = -z/e

Divide 1/4÷2/3 and express the answer in the simplest terms. If necessary, use / for the fraction bar.

1/4 ÷ 2/3 =​

Answers

Answer:

3/8

Step-by-step explanation:

find the Least Common Denominator, change the numerators as needed, divide, then simplify.

Answer:

the answer is 3/8

Step-by-step explanation:

brainiest rate 5 stars and thank mee : )

Jade and Jackson are considering a $210,000 mortgage for 30 years at 5.7%. With this information, their monthly payment would be $1218.84.

If they make only the minimum payment each month, what is the total payback of this loan?

How much of this total payback is interest?

Answers

Answer:

Jade and Jackson

The total payback of this loan = $438,782.72

The interest of this total payback is $228,782.72

Step-by-step explanation:

a) Data and Calculations:

Mortgage = $210,000

Interest rate of mortgage = 5.7%

Monthly payment = $1,218.84

Using an online calculator for Mortgage Payoff, the Original Payoff Schedule  is:

Monthly Pay = $1,218.84

Total Payments = $438,782.72

Total Interest = $228,782.72

Answer:

Step-by-step explanation:

1218.84⋅12⋅30=$438,782.40

The total interest paid is the total payback less the amount borrowed.

$438,782.40−$210,000=$228,782.40

Which of the following results in the expression 0.22 ⋅ 86?

22 of 86%

22% of 86

86% of 0.22

0.86 of 22%

I need help plows pleasee!!

Answers

The answer is 22% of 86

Explanation:
0.22 is 22%
"of" means to multiply
86=86
22% of 86 hope that helped :))

A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 11 members and any member can be elected to each position? No person can hold more than one
office

Answers

11 members and we have to pick three without replacement.

[tex]_{11} C_{3}[/tex] = 165

There are 165 possible sets of officers

A landscaper needs to estimate the amount of material required for a project building a circular brick patio for a client. The diameter of the patio is 13m and one bundle of brick will cover 116ft^2. How many bundles does he need?

Answers

Answer:

13 bricks

Step-by-step explanation:

Given parameter:

Diameter of the patio = 13m

Area of one bundle of brick  = 116ft²

Unknown:

The number of bricks that will cover the patio = ?

Solution:

To solve this problem, we must find the area of the patio first.

     Area of the patio = π r²

r is the radius of the patio;

   Radius  = [tex]\frac{13}{2}[/tex]

 So area = π  x ( [tex]\frac{13}{2}[/tex]) ² = 132.75m²

Now, let us convert the Area of the brick from ft² to m²;

     1ft²  = 0.093m²

   116ft² = 0.093 x 116  = 10.79m²;

The number of bricks required to cover the patio = [tex]\frac{132.75}{10.79}[/tex]   = 12.3 bricks,

Realistically, about 13 bricks would be needed.

Evquivilent Ratio for 23:37

Answers

Answer:

46:74

Step-by-step explanation:

The sum of the angle measures of a quadrilateral is 360°.
write and solve an equation to find the value of x. Use a protractor to check the
reasonableness of your answer.

Answers

Answer is x=31
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329+x=360
x=31

Write the equation of the line that has a slope of -5 and goes through (1,-4)

Answers

Answer:

y=-5x+1

Step-by-step explanation:

plug the coordinate points to the equation, and find your y intercept

Which of the following is a term?
A: 17y + 11
B: 6p
C: 7x / 2
D: 1 + 1

Answers

b: 6p is a term in this question

Answer:

B

Step-by-step explanation:

The average of 5 distinct scores has the same value as
the median of the 5 scores. The sum of the 5 scores is
420. What is the sum of the 4 scores that are NOT the
median?

Answers

Answer:  336 is the sum of the non-median scores

Step-by-step explanation:  if the sum of 5 scores is 420, the average is 420/5 = 84  

That is also the median to be subtracted:  420-84= 336

Rewrite 10 7/8 as an improper fraction. I need help:)

Answers

Answer:87/8

Step-by-step explanation:cause i smart :D

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what is the slope.of the line passing points (1, -5) and (4, 1)

Answers

Answer:

[tex]\huge{\boxed{\sf{ 2 }}}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( 1 , -5 ) [tex]\longrightarrow[/tex] ( x1 , y1 )

B ( 4 , 1 ) [tex]\longrightarrow[/tex] ( x2 , y2 )

Finding the slope :

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{1 - ( -5 )}{4 - 1}[/tex]

Slope = [tex]\frac{1+5}{4-1}[/tex]

Slope = [tex]\frac{6}{3}[/tex]

Slope = [tex]2[/tex]

Hope I helped!

Best regards!

~TheAnimeGirl

Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old as Helen. What are the ages

Answers

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.

Let's define the variables we will be using.

m = Mary's age.h = Helen's age.

We know that "Mary is twice as old as Helen’s age"

Then:

m = 2*h

"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."

(m + 4) = 4*(h - 8)

Then the system of equations is:

m = 2*h

(m + 4) = 4*(h - 8)

To solve it, we can replace m by 2*h in the second equation, so we get:

(2h + 4) = 4*(h - 8)

2*h + 4 = 4*h - 32

4 + 32 = 4*h - 2*h

36/2 = h = 18

And we know that:

m = 2*h = 2*18 = 36

So Helen is 18 years old, and Mary is 36 years old.

If you want to learn more, you can read:

https://brainly.com/question/9351049

Solve w - 4b = 1 for w

Answers

ISOLATE w

w-4b=1
+4b +4b
—————
w=1+4b

Answer: w=1+4b

I have done this for a million times and I always get this one wrong I need the correct answer

Answers

Answer:

A, B, and D.

Step-by-step explanation:

HEY!! remember that if a number has ^2, it basically means it's multiplied by itself. for example:

5^2 = 5 x 5

aka, 25.

You can use this to check each of the answers in your formula, like this:

if x=6, then:

x^2 < 100

6 x 6 = 36

36 < 100

A is one of your correct answers!

Also remember, if you multiply a negative by a negative, it becomes positive.

-5 x -5 = 25

-10 x -10 = 100

The answer to this is A, B, D.

rosa puts 2/3 cup of vegetables mixture in 1 tortilla. she has 8 cups of vegetable mixture.

Answers

she can fill 12 tortillas

Answer:

She need to divide 24 by 2 to get 12. She can fill 12 tortillas

Step-by-step explanation:

Find the range of the data in the box plot below.
Magnitude of earthquakes
0 1 2 3 4 5
6 7 8 9 10

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Answers

The range of the given magnitude is 10.

What is Range?

The range is the difference between the largest value and the smallest value, is the simplest measure of variability in the data. The range is determined by only the two extreme data values.

Here, given data;

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Range = Upper limit - Lower limit

           = 10 - 0

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Thus, the range of the given magnitude is 10.

Learn more about Range from:

https://brainly.com/question/17553524

#SPJ1

prove cosec 2x + cot 2x = cot x​

Answers

csc(2x) + cot(2x) = 1 / sin(2x) + cos(2x) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / sin(2x)

csc(2x) + cot(2x) = (1 + cos(2x)) / (2 sin(x) cos(x))

csc(2x) + cot(2x) = cos²(x) / (sin(x) cos(x))

csc(2x) + cot(2x) = cos(x) / sin(x)

csc(2x) + cot(2x) = cot(x)

solve for x
x/3 = 5/8​

Answers

Answer:

x = 15/8

Step-by-step explanation:

x/3 = 5/8

Using cross products

8x = 3*5

8x = 15

Divide each side by 8

8x/8 = 15/8

x = 15/8

X= 1 7/8

Step-by-step explanation:

Solve please? Thanks :)

Answers

Answer:

Step-by-step explanation:

lol this was really funny

scientific notions have to be less than 10 and more than 1

1. 68600 / 10000 = 6.86

A. 6.86 x 10^4

2. 0.082 x 100 = 8.2

C. 8.2 x 10^-2

3. 0.068 x 100 = 6.8

D. 6.8 x 10^-2

4. 0.93 x 10 = 9.3

C. 9.3 x 10^-1

5. 0.000923 x 10000 = 9.23

D. 9.23 x 10^-5

choose the expression that completes the equation 33 / 3 + 10=_______


1. 2(10+1)

2. 10(1+1)

3. 3(6+1)

4 5(3+5)

Answers

Answer:

the answer is number 3. 3 ( 6+1 )

Number one would be your answer because 33/3+10 equals to 21 and 2(10+1) equals 21 as well.

Hope this helped

A carnival ride holds 30 people at a time. In one hour,
220 people went on the ride. It was full each time
except the last. How many times was the ride
completely filled?

Answers

Answer:

7

Step-by-step explanation:

Robert earned $10, which was 4 less than twice what Eric earned. How much money
did Eric earn?

Answers

Answer:

uh

Step-by-step explanation:

gygygyg

I did this one slot of times but I never get it

Answers

Answer:

A: [tex]x^{2} \leq 16[/tex]

A is a solution set of the inequality.  

This means:

[tex]x^{2} \leq 4[/tex]

(AND)

[tex]x^{2} \geq -4[/tex]

Which can also be written as:

Interval notation: x ∈ [-4, 4]

Set notation:  {x | [tex]-4 \leq x \leq 4[/tex] }

) How many digits are in the number 13,692,540?​

Answers

8 Digits are in that number

Type your response in the box.
Janet and Patrick are buying stuffed frogs each month to give to a charity. Pattern 1 describes Janet's collection over
the first three months. Pattern 2 describes Patrick's collection. Study both patterns, and fill in the table based on
your observations.

Answers

Step-by-step explanation:

Pattern 1 :

Arithmetic Sequence

Common term = 4

Pattern 2 :

Geometric Sequence

Common ratio = 2

Answer:

pattern 1 arithmetic The common difference is 4. The pattern starts at 3 and always adds 4 to get to the next term.

pattern 2 geometric The common ratio is 2. The pattern starts at 3 and always multiplies by 2 to get to the next term.

Step-by-step explanation:

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