Individual A has a circle of five close friends (B, C, D, E, and F). A has heard a certain rumor from outside the circle and has invited the five friends to a party to circulate the rumor. To begin, A selects one of the five at random and tells the rumor to the chosen individual. That individual then selects at random one of the four remaining individuals and repeats the rumor. Continuing, a new individual is selected from those not already having heard the rumor by the individual who has just heard it, until everyone has been told.
a. What is the probability that the rumor is repeated in the order B, C, D, E, and F?
b. What is the probability that F is the third person at the party to be told the rumor?
c. What is the probability that F is the last person to hear the rumor?
d. If at each stage the person who currently "has" the rumor does not know who has already heard it and selects the next recipient at random from all five possible individuals, what is the probability that F has still not heard the rumor after it has been told ten times at the party?

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information;

The possible number of ways to select these people in order B, C, D, E, and F is:

= 5 × 4 × 3 × 2 × 1

= 120

However, using the order B, C, D, E, and F; The probability that the rumor is repeated is:

= 1/120

= 0.0083

b)

If we make F the subject here by selecting it such that F has not been selected in the first and second draw;

Then:

The possible numbers of ways to select F as third = 4 × 3 × 2 × 1

= 24

Now;

the required probability of F is the third person: = 24/120

= 0.2

c)

Suppose F is selected as the last person to hear the rumor;

Then, the selection of F in the last row = 4 × 3 × 2 × 1

Recall that; the total possible number of ways to select the person is B, C, D,E, and F which is = 120

Then, the required probability of F as the last person to hear the rumor is:

= 24/120

= 0.2

d)

Here, the required probability of F since F has not heard the rumor after it has been told tren times is:

= 4¹⁰

Let's no forget that the total number of possible ways to select the persons using the above criteria is = 5¹⁰

Thus, the required probability of F = 4¹⁰/5¹⁰

= 0.1074


Related Questions

5 friends share two bags of Trail Mix equally what fraction of a bag of Trail Mix does each friend get​

Answers

Answer:

5/2

Step-by-step explanation:

5 divided by 2 is 2.5 and then 2.5 as a fraction is 5/2

Answer:

0.4 or 2/5

Step-by-step explanation:

I divided 2 by 5 because 2 bags were being split by 5 friends and got 2/5 which is also 0.4.

(hope this helps :P)

Which of these coordinates would represent the intercepts of the graph of the function f(x)=3x-9

Answers

Answer:

x    y

0    9

1     12

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Slope:

3

y-intercept:

9

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

Choose

0

to substitute in for

x

to find the ordered pair.

y

=

9

Choose

1

to substitute in for

x

to find the ordered pair.

y

=

12

Create a table of the

x

and

y

values.

x

y

0

9

1

12

Graph the line using the slope and the y-intercept, or the points.

Slope:

3

y-intercept:

9

x

y

0

9

1

12

image of graph

Answer: (0,-8) and (2,0)

Step-by-step explanation: I took the test.

What is the solution to the system of equations?
y=2/3x+3
x=-2​

Answers

Answer:

(x, y) and (2, 49)

Step-by-step explanation:

I believe the answer is ( -2 , 5/3 )

A right triangle has a lleg of length 16 and a hypotenuse of length 25. The length of the other leg is (Rounded to the nearest tenth).

Answers

Answer:

19

Step-by-step explanation:

1st you will use a^2+b^2=c^2

next you plug them  in so it would be a^2+16^2=25^2

next you would solve it to a^2+256=625

then you would get 369  and square root it  

and your answer will be  19.2.

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Answers

Is it x • 1.4 because if it is then the answer is x = 9/7

Ms. Rashida is selling the school bag below at a 20% discount. What is the selling price of the bag?

Answers

Step-by-step explanation:

what is the price of the school bag it doesnt show?

Answer:

gffdddddddgfggdfgdgfdgdnjjh

Step-by-step explanation:

A fruit shop bought 500 kg of apples for R900 and sold them R2.80 per kg.What is the profit per kg?​

Answers

Answer:

total cost= RS.4050

Total SP= 75*45+25*47.5

TOtal SP= 4562.5

PRofit= 512.5

Profit %= 512.5/4050*100

Profit%=12.7%

Step-by-step explanation:

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Answers

Answer:

V = 186.67

Step-by-step explanation:

the answer is really 186.6777777, you get it

PLSSS HELPPP DUE SOON ILL GIVE BRAINLESS

Answers

Answer:

D

Step-by-step explanation:

A, B, and C are not linear functions

D would be y=x/2

If you graphed y=x/2, you would get the points (4, 2), (7, 3.5), (8, 4), and (10, 5)

It's more obvious if you notice that y is half of x.

NO ONE IS PICKING MY QUESTION AND I AM RUNNING OUT OF POINTS TO USE. PLS HELP

Answers

Answer: 1. 3 • (x + 5) • (x - 5)

2. 2a*(2b+9)

Step-by-step explanation:

Answer:

1) 3(x+)(x-5)

2) 2a(2b+9)

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

ah yes morse code

i cant read morse code thou so your on your own

How is the graph solution of 2x>10 different from the graph of the solution of 2x=10 ?

Answers

Answer:

the first one means that any number bigger than 5 whereas 2x=10 means that x can either be a positive or a negative value

Step-by-step explanation:

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Answers

Answer: prob 8

Step-by-step explanation:

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Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
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Answers

Answer:

x=-3

Step-by-step explanation:

y-4=(3-4)/(-3-(-3))(x+3)

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A technician can complete a mammogram is 15 minutes. How many mammograms can the technician complete in an 8 hour workday? (8 hours = 480 minutes)

Answers

Answer:

78

Step-by-step explanation:

Write the equation of a perpendicular bisector of the line segment having
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Answers

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Answers

Answer:

No

Step-by-step explanation:

F is not a subset of G because not every element in F lives in G. Even through 56, 1 and 2, all live in G, and are elements of F, 777 is an element of F but is not an element of G.

(If there is a typo, and every element in F is in fact an element in G, then the answer would be yes, F is a subset of G)

We can see that element 777 is not in set G. Hence the set F is not a subset of set G.

A set is a collection of elements not necessarily arranged in a particular pattern.

For a set A to be a subset of another set B, all elements of the set must be found in set B.

For the given set F={56,777,1,2}, we can see that the element 777 is not in the set G. Hence the set F is not a subset of set G.

Learn more here: https://brainly.com/question/6948738

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The correct answer is A

Sam can ride his bike 4.2 kilometers in 6 minutes. Amanda can ride her bike 3.2 kilometers in 8 minutes. Jesse can ride his bike 3.0 kilometers in 5 minutes.

Which rider might go farther in 1 minute?

Answers

Answer:

jesse or sam i think its sam by a little bit.

Step-by-step explanation:

Answer:

Sam

Step-by-step explanation:

Find all of their speeds to find how far they will go in 1 minute, by dividing the number of kilometers by the number of minutes:

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Amanda

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Answers

Answer:

205 sec

Step-by-step explanation:

x = sister

2x = Diana

2x = 410

x = 205

205 sec

hope this makes sense

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Answers

Answer:

shell pay morethen 30

Step-by-step explanation:

Answer:

It will be exact $30 after coupon and sales tax.

Step-by-step explanation:

How many grams are there in 13 kilograms?​

Answers

Answer:

13000grams are in 13 kilograms

Leigh and Sara paid $1,178 last month to rent their apartment. Last month had 31 days. They divide to find out how much they paid per day. ?​

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Answer:

1,178 divided by 31 is equal to 38. $38 paid each day.

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What is 1092 using the polynomial identity (a+b)2=a2+2ab+b2 ?

Drag and drop the correct responses into the boxes.

Let the smaller value a = Response area and the larger value b = Response area. Then a2+2ab+b2 is Response area. This can be simplified to Response area. So, 1092 is equal to Response area.

Answers

Answer:

Step-by-step explanation:

The fill ups is

Smallest number, a= 9

Largest number, b= 100

a²+ 2ab+ b² can be written as 9²+ 2. 9. 100 + 100²

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

Given:

Here the smallest number can be taken as 9.

and, here we have 109² then the number can be split as 100 + 9.

Thus, the largest number is 100.

Now, a²+ 2ab+ b² can be written as 9²+ 2. 9. 100 + 100² which can be simplified as 11881.

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in the digram triangleADC below, EB||DC, AE = 3, ED = 6, and AB - 12. what is the length of AC

PLS HELP ASAP 50 POINT REWARD

Answers

Answer: をしつりつさつりつしゆる

Step-by-step explanation:手を去りててゆる

Answer:

2

Step-by-step explanation:

Simplify the expression.
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

72 ?

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

6x9=54

2+4=6

6+12=18

54+18=72

Hope this helps!

Four different mathematics books, six different physics books, and two different chemistry books are to be arranged on a shelf. How many different arrangements are possible if a) The books in each particular subject must all stand together b) Only the mathematics books must stand together

Answers

Answer:

a) 207,360 ways

b)8,709,120  ways

Step-by-step explanation:

Total number of subjects= 3

Number of mathematics books = 4

Number of physics books = 6

Number of chemistry books = 2

Part a:

Number of possible arrangement s= 3! 4! 6! 2!= 6*24*720*2= 207360 ways

In this we have included 3! because the books have to be placed in such a manner that the books in each particular subject must all stand together.

Part b:

Similarly the mathematics books must stand together so they are treated as

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But there are 4 different mathematics books so these can be arranged in 4 ways.

Total number of ways in which these books can be arranged = 9! 4!= 8709120  ways.

Which ratio is equal to 3:5?
A.
12:25
B.
12:20
cal
15:20
OD.
12:15

Answers

Answer: B

Step-by-step explanation: If you multipley both 3 and 5 by the same number 4 you get the ratio 12:20

Answer:

12:20

Step-by-step explanation:

3:5

12:20

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Answers

Answer:

D

Step-by-step explanation:

Not 100 percent sure but if you add the 50 and 62 degrees then you get 112

Answer:

112

Step-by-step explanation:

you need to add 50 and 62

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