Required information Skip to question A die (six faces) has the number 1 painted on two of its faces, the number 2 painted on three of its faces, and the number 3 painted on one of its faces. Assume that each face is equally likely to come up. If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the value of P(odd number)

Answers

Answer 1

Answer:

The change to the face 3 affects the value of P(Odd Number)

Step-by-step explanation:

Analysing the question one statement at a time.

Before the face with 3 is loaded to be twice likely to come up.

The sample space is:

[tex]S = \{1,1,2,2,2,3\}[/tex]

And the probability of each is:

[tex]P(1) = \frac{n(1)}{n(s)}[/tex]

[tex]P(1) = \frac{2}{6}[/tex]

[tex]P(1) = \frac{1}{3}[/tex]

[tex]P(2) = \frac{n(2)}{n(s)}[/tex]

[tex]P(2) = \frac{3}{6}[/tex]

[tex]P(2) = \frac{1}{2}[/tex]

[tex]P(3) = \frac{n(3)}{n(s)}[/tex]

[tex]P(3) = \frac{1}{6}[/tex]

P(Odd Number) is then calculated as:

[tex]P(Odd\ Number) = P(1) + P(3)[/tex]

[tex]P(Odd\ Number) = \frac{1}{3} + \frac{1}{6}[/tex]

Take LCM

[tex]P(Odd\ Number) = \frac{2+1}{6}[/tex]

[tex]P(Odd\ Number) = \frac{3}{6}[/tex]

[tex]P(Odd\ Number) = \frac{1}{2}[/tex]

After the face with 3 is loaded to be twice likely to come up.

The sample space becomes:

[tex]S = \{1,1,2,2,2,3,3\}[/tex]

The probability of each is:

[tex]P(1) = \frac{n(1)}{n(s)}[/tex]

[tex]P(1) = \frac{2}{7}[/tex]

[tex]P(2) = \frac{n(2)}{n(s)}[/tex]

[tex]P(2) = \frac{3}{7}[/tex]

[tex]P(3) = \frac{n(3)}{n(s)}[/tex]

[tex]P(3) = \frac{1}{7}[/tex]

[tex]P(Odd\ Number) = P(1) + P(3)[/tex]

[tex]P(Odd\ Number) = \frac{2}{7} + \frac{1}{7}[/tex]

Take LCM

[tex]P(Odd\ Number) = \frac{2+1}{7}[/tex]

[tex]P(Odd\ Number) = \frac{3}{7}[/tex]

Comparing P(Odd Number) before and after

[tex]P(Odd\ Number) = \frac{1}{2}[/tex] --- Before

[tex]P(Odd\ Number) = \frac{3}{7}[/tex] --- After

We can conclude that the change to the face 3 affects the value of P(Odd Number)


Related Questions

Plz help me I am timed!!

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Answer:

504

Step-by-step explanation:

The correct answer would b c

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He first multiplied 4 by 3 to get 12. Then he multiplied 12 by itself to get 144. He should have first multiplied 3 by itself. Then he should have multiplied the result 9 by 4. The correct value is 36.

Can someone help me on this one if possible ⁉️⁉️⁉️⁉️⁉️

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Answer:

I cant see it it wont load sorry

Step-by-step explanation:

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I think it’s 87 degrees

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Is an egg a fruit or a vegetable?

Answers

Answer:

fruit

Step-by-step explanation:

can you help me with my question Complete the following sentence: After we explained why we needed her in the play, she and joined our rehearsal A quaffed B. acquiesced C vengeance D. wreaked

simplify 7/32 over 1/16

Answers

Answer:

I’m sorry I don’t know the answer

Step-by-step explanation:

Answer:

7/32/1/6

you separate the fractions

7/32÷1/6

change the division sign to multiplication then you take the denominator up and the numerator down.

7/32×6/1

then multiply

42/32

reduce to the lowest term

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Examine the worked problem and solve the equation​

Answers

Answer:

The solution is 9

HELP PLEASE ITS URGENT

What is m
Look at the image above

Answers

Answer:

m∠F = 90°

Step-by-step explanation:

By the property of a kite,

"One pair of the opposite angles are congruent"

m∠E ≅ m∠G

m∠E = m∠G = 113°

Sum of the interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides of the polygon

For a kite, n = 4

Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°                                                                          

                                                                                          = 360°

Therefore, m∠E + m∠F + m∠G + m∠H = 360°

113° + m∠F + 113° + 44° = 360°

m∠F = 360° - 270°

m∠F = 90°

The value of 34 + 5 ⋅ 5 = ___. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

39.5

Step-by-step explanation:

39.5? I’ve had something similar to this before on a test!

HELPPPPPPPPPP PLEASE

Answers

Answer:

a. 28yds

7*4 = 28yd

b. 36yds

9*4= 36yd

c. 1,008yds

28*36 = 1,008yd

hope this helps, good luck :)

URGENT!!! Find the value of x using the similar trapezoids below.

Answers

Answer:

x= 30

Step-by-step explanation:

find the corresponding ratio AD:EH

20:12=5:3

is it constant? yes because 15:9 is also 5:3

if we're trying to find x on the larger side, we do x:18

what divides into 18 to equal 3? 6

we take 6 times 5 =30 so the ratio is now 30:18=5:3 so we know its correct

Simplify.
(1) x + x + x + x4 น”​

Answers

Answer:

Sorry my handwriting is terrible :) :p

Step-by-step explanation:

Please help with these questions!!! Having trouble solving them

Answers

Answer: 2y/w-3x

That should be correct

1. distribute
2(w-3x)
2w-6x

2. 2w-6x/1=4y/z
4y=(2w-6x)z

I know the way that I do the step above isn’t how everyone does it, but it is what works for me. I cross multiplied.

z=4y/2w-6x

I hope this helps!

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y. 2,6,18,38

Answers

i’m pretty sure that will be linear.

I NEED REAL HELP MATH HELP NEEDED

Answers

Answer:

The right answer is the last one! :)

Step-by-step explanation:

Answer: It’s 2, the solution is correct

Step-by-step explanation:

what is 9(p−4)=−18 p=?

Answers

Answer:

P=2

Step-by-step explanation:

Which situations can be simulated using this spinner? Select three options.

A spinner with 6 equal sections.

Answers

Answer:

What are the options?

Step-by-step explanation:

Answer:

the answer is A and C if its a multipul choice question if not try answer A

Step-by-step explanation:

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Answers

Answer:

b

Step-by-step explanation:

Please help me with this I need this now

Answers

Answer:

Correct answer is 27. Upvote it. Welcome.

A student claims that if y-values are not increasing as x-values increase, then the data must show a negative association. Explain the error the student made.

Answers

Answer:

Because it can just stay constant. It may not change at all, so that's not a negative association

Step-by-step explanation:

Stefani received a loan for $2,000 and now has acquired $720 in interest. If she pays an annual interest of 4.5% on the amount borrowed. how much time has elapsed since Stefani received the loan?

Answers

Answer:

8 years.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.5%/100 = 0.045 per year,

then, solving our equation

t = 720 / ( 2000 × 0.045 ) = 8

t = 8 years

The time required to

accumulate simple interest of $ 720.00

from a principal of $ 2,000.00

at an interest rate of 4.5% per year

is 8 years.

how many weeks will it take to save for a $3000 dirt bike if you have $500 already and get a weekly allowance o $20?

Answers

Answer:

125 weeks

Step-by-step explanation:

3000-500=2500

2500÷20=125

Answer: 125 Weeks

Reason:

3000 - 500 = 2500

2500 / 250 = 125

So 125 will be your final answer.

What does Q equal to

Answers

Bro give more details that could literally be anything

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Answers

Answer:

The first one

Scale factor is 7

x = 3

The second one

Scale factor is 9

x = 99

Step-by-step explanation:

The first one

You can find out by dividing 49 by 7 which is 7

to find x =  21 divided by 7 is 3

The second one

You can find out by dividing 162 by 18 which is 9

to find x =  11 multiplied by 9 (since it is "opposite") is 99

answer please! i need both answers for both of the questions! help is greatly appreciated!

Answers

1. this question is quite simple because they already gave out the volume for all the blocks, so add them all up!
2. volume= LWH (length times width times height) so 4x4x4 gives a volume of 64. since the total of the blocks was 68, it will not fit

Heart failure is due to either natural occurrences (89%) or outside factors (11%). Outside factors are related to induced substances or foreign objects. Natural occurrences are caused by arterial blockage, disease, and infection. Assume that causes of heart failure between individuals are independent.
A) What is the probability that the first patient with heartfailure that enters the emergency room has the conditions due tooutside factors?
B) What is the probability that third patient with heartfailure that enters the emergency room is the first one due tooutside factors?
C) What is the mean number of heart failure patients with thecondition due to natural causes that enter the emergency roombefore the first patient with heart failure from outsidefactors?

Answers

Answer:

a) 11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

b) 0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.

c) The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

Step-by-step explanation:

We have these following probabilities:

89% probability that a patient has heart failure due to natural occurrences.

11% probability that a patient has heart failure due to outside factors.

A) What is the probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors?

We assume that causes of heart failure between individuals are independent, which means that the probabilities are the same for each patient. So:

11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

B) What is the probability that third patient with heart failure that enters the emergency room is the first one due to outside factors?

First two due to natural occurrences, each with 89% = 0.89 probability.

Third due to outside factors, with 11% = 0.11 probability. So

0.89*0.89*0.11 = 0.0871

0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.

C) What is the mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors?

11% with outside factors, so the mean number of patients before the first with outside factors is given by

m = 1/0.11 = 9.09

The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

Plz help mee I am bad at math

Answers

it would be option D

Answer:

c. 42 1/12

Step-by-step explanation:

sorry if it's wrong. this was an educated guess

Write the slope-intercept form of the equation of the line using the slope and y-intercept. slope=5 y-intercept=4

Answers

Answer:

y=5x+4

Step-by-step explanation:

What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

Answers

Replace x with 2 and solve each equation:

1/2(2) + 4 = 1 + 4 = 5

2+ 6 -1/2(2) -2 = 8-3 = 5

The answer is:

both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Write the equation of the line that has m = -1/3 and goes through the point (-9, -1). Write the equation in slope-intercept form.

Answers

Step-by-step explanation:If you want to find the equation of line with a given a slope of -8 which goes through the point (6,9), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and  is the given point

So lets use the Point-Slope Formula to find the equation of the line

y-9=%28-8%29%28x-6%29 Plug in m=-8, x%5B1%5D=6, and y%5B1%5D=9 (these values are given)

y-9=-8x%2B%28-8%29%28-6%29 Distribute -8

y-9=-8x%2B48 Multiply -8 and -6 to get 48

y=-8x%2B48%2B9 Add 9 to both sides to isolate y

y=-8x%2B57 Combine like terms 48 and 9 to get 57

------------------------------------------------------------------------------------------------------------

Answer:

So the equation of the line with a slope of -8 which goes through the point (6,9) is:

y=-8x%2B57 which is now in y=mx%2Bb form where the slope is m=-8 and the y-intercept is b=57

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