Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer 1

Answer:  

the required probability is 0.0071  

Step-by-step explanation:

Given the data in the question;

we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.

so total number of combinations for the narrowed down metrics is computed as follows;

using multiplication rule:

⇒ 4 × 5 × 7 = 140 ways

Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;

⇒ 1 / 140

{ assuming that the narrowed down choices have within it the correction combination }

= 0.007142 ≈ 0.0071  { four decimal place }

∴  the required probability is 0.0071  


Related Questions

PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet

Answers

Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation:

Plss help mark brain list a lot of point

Answers

Answer:

arc TQ= 69°          (44 + 25)

arc QR = 155°       (180 - 25)

arc TS = 111°         (360 - 44 - 25 - 155 - 25)

arc SQR = 335°    (360 - 25)

arc RQT = 224°    (155 + 25 + 44)

Please help me Surface Area Homework

Answers

1314.24 cubic centimeters

What is 498,235 rounded to the
nearest thousands?

Answers

Answer:

498,000

Step-by-step explanation:

Question
The area of a triangular painting is 50 square inches. The base is 20 inches. What is the height?

Answers

Answer:

2.5 inches

Step-by-step explanation:

Area= 50 square inches

Base= 20 inches

Height=?

Area= base×height

50= 20× x

50= 20x

x= 50/20

= 2.5

Hence the height is 2.5 inches

Answer:5 inches

Step-by-step explanation:

find the value of X in the triangle shown below

Answers

Answer:

62.

Step-by-step explanation:

The length 5.7 is the base since it is the side that isn't congruent to 1 mroe side. Therefore, the angles connected to it, including x, is congruent. Sum of angle in triangle=180. given angle 56. 180-56=124. x+x(congruent angles)=124. 2x=124. x=62.

Answer:

62

Step-by-step explanation:

180 - 56 = 124

124/2 = 62

write the following comparison as a ratio reduced to lowest terms.



94 hours to 8 days​

Answers

Answer:

11.75:1

Step-by-step explanation:

alrighty right, more unit rates, so we have to get that 8 down to 1. How are we gonna do that? By dividing it by 8. And if we divide one side by 8, we also have to divide the other side:

8 ÷ 8 = 1

94 ÷ 8 = 11.75

So 94 hours to 8 days in lowest terms is 11.75 hours to 1 day

WHATS 20-11 ANSWER OR DAII

Answers

Answer:

9

Step-by-step explanation:

20-11=9

☁️ Answer ☁️

9

Take 11 away from 20

Have a nice day noona/hyung.

Solve the formula Ax + By = C for A

Answers

Ax+By=C
Ax=C-By
A=C-By/x

Use the point-slope form to write an equation of a line through the given points.
(−3, 2) and (3, 4)

Answers

Answer:

y-2=1/3(x+3)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-2)/(3-(-3))

m=2/(3+3)

m=2/6

simplify

m=1/3

y-y1=m(x-x1)

y-2=1/3(x-(-3))

y-2=1/3(x+3)

Avery has 6 yards of ribbon. He needs 1/3 yard to make 1 bow.
How many bows can Avery make​

Answers

18 18 18 18 18 18 18 18 18 18

A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?

Answers

35000*10^2/3
=116,666.66

Answer:43090

Step-by-step explanation: Pt=35000*2 3/10

Pt= 43090.0545

What Are the missing numbers?

Answers

Answer:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Step-by-step explanation:

The missing numbers represent the slope/rate of change (m) and y-intercept (b) of the table of values given.

✔️Let's find slope (m) using any two given pairs of values, say (2, 9) and (4, 6):

Slope (m) = change in y/change in x

= (6 - 9)/(4 - 2)

= -3/2

m = -³/2

✔️Find b by substituting (x, y) = (2, 9), and m = -³/2 into y = mx + b

Thus,

9 = -³/2(2) + b

9 = -3 + b

9 + 3 = b

b = 12

The missing numbers are -³/2 and 12.

Which will give us:

[tex] y = -\frac{3}{2}x + 12 [/tex]

3 1/7 x 10 answer plz

Answers

Answer:

31.43

Step-by-step explanation:

3 1/7 = 3.14285714285

3 1/7 x 10 = 31.4285714286 which is about 31.43

Answer:

31 [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{22}{7}[/tex]×[tex]\frac{10}{1}[/tex]

[tex]\frac{220}{7}[/tex]

31 [tex]\frac{3}{7}[/tex]

hellp me for a brainly

Answers

Answer:

25π or 78.5mm²

Step-by-step explanation:

[tex]A=3.14*5^{2} \\ =3.14*25\\ =78.5[/tex]

Answer:

78.5 mm² or answer D.

Step-by-step explanation:

The formula for the area of a circle is

A = π*r²

Now we can rewrite with the radius. *Note* I am using 3.14 for pi to make it easier*

A = π*5²

Solve

5² = 25

25 * 3.14 = 78.5

Now since the measurements were done in millimeters, we will add mm to the end.

Also since it is area, we need to add ²

78.5 mm²

Find [tex]a_{1}[/tex] in a geometric series for which [tex]S_{n}[/tex] = 189, r = [tex]\frac{1}{2}[/tex], and [tex]a_{n}[/tex] = 3.

Answers

Answer:

[tex] \displaystyle a_{1} = 108[/tex]

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

[tex] \displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r} [/tex]

we are given that

[tex]S_n=189[/tex][tex]r=\dfrac{1}{2}[/tex][tex]n=3[/tex]

thus substitute:

[tex] \displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} } [/tex]

to figure out [tex]a_1[/tex] we need to figure out the equation

simplify denominator:

[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189[/tex]

simplify square:

[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189[/tex]

simplify substraction:

[tex] \displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189[/tex]

simplify complex fraction:

[tex] \displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189[/tex]

calculate reciprocal:

[tex] \displaystyle a_{1} \frac{7}{8} \times 2 = 189[/tex]

reduce fraction:

[tex] \displaystyle a_{1} \frac{7}{4} \ = 189[/tex]

multiply both sides by 4/7:

[tex] \displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7} [/tex]

reduce fraction:

[tex] \displaystyle a_{1} = 27\times 4[/tex]

simplify multiplication:

[tex] \displaystyle a_{1} = 108[/tex]

hence,

[tex] \displaystyle a_{1} = 108[/tex]

literally a goat if someone gives me an answer for this please

Answers

Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

Blood type AB is found in only 3% of the population.† If 345 people are chosen at random, find the probability of the following. (Use the normal approximation.

Answers

Answer:

345 times 0.03 = 10.35 but we cant have 0.35 of a person so it is 10 people

Step-by-step explanation:

Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0

Answers

Answer:

x=-8

x=-6

Step-by-step explanation:

Don't really know how to explain this. I never was good at completing the squares.

Hope that this helps!

Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars?

Answers

Answer:

the ratio of food costs to take home dollars is 1:6

Step-by-step explanation:

The computation of the ratio of the foods cost to take home is shown below:

Given that

Monthly take home pay is $1,500

And, the spending month on food is $250

Based on the  above information

The ratio is

= $250 ÷ $1500

= 1:6

Hence, the ratio of food costs to take home dollars is 1:6

5. A flock of geese flies 50 miles per hour. Write a linear
equation that gives the distance d in miles that the flock
of geese flies in h hours

Answers

Answer:

y=50x+0

Step-by-step explanation:

y=mx+b is y-intercept form

I will make x= hours and y= distance (miles)

every 1 you add to x has to represent 50 miles

for the y intercept, it was unspecified so I assumed 0

Hope this helps :)

Answer:

y=50x

Step-by-step explanation:

Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
HINT: Use the distance formula:
d = V(x2 - xı)2 + (y2 - yı)2

Answers

Answer:

The distance is of 10.8 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this question:

C(-5,4) and D(5,8). So

[tex]D = \sqrt{(5-(-5))^2 + (8-4)^2} = \sqrt{10^2 + 4^2} = 10.8[/tex]

The distance is of 10.8 units.

Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 how many adult tickets did they buy

Answers

Answer: They purchased 14 adult tickets and 4 kids' tickets.

Step-by-step explanation:

14 x 5 = 70

3x4=12

and then add 70 plus 12 to get 82 dollars

What is the approximate distance between Chaplain and Asherville?
OA. 30.9 miles
OB.
14.7 miles
O c.
29.8 miles
OD.
16.4 miles

Answers

Answer:

B

Step-by-step explanation:

Remark

I'm hesitant to get an exact answer. You could do that with the cos law for distance. To get an approximate answer you could use the Pythagorean Theorem.

I'll try the cos law first.

Formula

c^2 = a^2 + b^2 - 2abcos(C)

Givens

c = 24

a = 18

b = ?

Solution

24^2 = 18^2 + b^2 - 2*18*b*cos(94)

576 = 324 + b^2 - 36*b*(-0.0698)

0 = 324 - 576 + b^2 + 2.511b

0 = b^2 + 2.511 - 252

Using the quadratic formula, the roots are

b1 = 14.66

b2 = - 17.11

The second one has no meaning in the real world.

Answer

the distance is 14.66 miles from Chaplin to Asherville

Note: using the Pythagorean theorem gives 15.87 which I would count as a good approximation.

Answer:

14.7

Step-by-step explanation:

got 100% on plato

what is 513 + _ + 130 = 764? what is the missing number and can u pls do a explantation

Answers

Answer:

121

Step-by-step explanation:

The missing number is 121. I got this by doing 764-130-513=121. You would do this because you are trying to find the number that would allow 130 and 513 to add up to 764.

Another way to look at this problem is 513+130= 643

764-643=121

In conclusion, 513+121+130=764

Answer:

the answer will be 121

Step-by-step explanation:

because 513 + 130= 643 then 121 + 643 = 764

What is the measure of op С : 429 180° ​

Answers

Answer:

90

Step-by-step explanation:

the angles that are on the opposite side are same

LEARNED THIS IN FOURTH GRADE

I'm still in  fourth grade

my math teacher taught us this separately.

I go to School for the Highly Gifted in Grand Prairie, Texas

A national organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive. Assume that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%.

Required:
Test if the proportion of the prevalence of HIV has changed (is equal to 7.5%). Use α = 0.05.

Answers

Answer:

As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

4706 = 100

468 = X

468 x 100/4706 = X

46,800 / 4,706 = X

9.94 = X

Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers feed each participant the same diet. On the third day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. What is the purpose of double-blinding?

a. To control unintentional researcher bias in the execution of the experiment
b. To control for the participants' prior beliefs about energy drinks
c. To control both unintentional research bias and participant prior beliefs

Answers

Answer:

C. To control both unintentional research bias and participant prior beliefs

Step-by-step explanation:

Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.

Thus,the correct answer is option C as it includes both the researcher and the participants

During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?

Answers

Answer:

Most snow- 3 1/2 inch least snow, 1/2 inch

Step-by-step explanation:

Helppppp plsssssssssssssssssssssss

Thansk!

Answers

Answer:

60.

Step-by-step explanation:

we have a decimal so we need to get rid of it, move It over twice.

1.5, 15.

and do the same for 9

90., 900.

now we can divide

60.

15 900.

90

00

0

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