A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the treasurer

Answers

Answer 1

Answer:

The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].

Step-by-step explanation:

We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one  as the treasurer of the remaining 8 members.

We want harry to be as either as secretary or as treasurer. so we will consider both the cases

Probability is given by = No of favorable outcomes/ Total no of outcomes

(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer

  As president = [tex]\frac{1}{10}[/tex]

  Not as president = [tex]1 - \frac{1}{10}[/tex] = [tex]\frac{9}{10}[/tex]

Now he is selected for the secretary so he can't be selected as treasurer.

Not as treasurer = 1

Probability for chosen as secretary = [tex]\frac{9}{10}*\frac{1}{9}*1[/tex]  = [tex]\frac{1}{10}[/tex]  

(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.

Probability for not chosen as president = [tex]\frac{9}{10}[/tex]

Probability for not chosen as secretary =  [tex]1-\frac{1}{9} = \frac{8}{9}[/tex]

Probability to be chosen as treasurer = [tex]\frac{1}{8}[/tex]

Probability to be chosen as Treasurer = [tex]\frac{9}{10}*\frac{8}{9}*\frac{1}{8}[/tex] = [tex]\frac{1}{10}[/tex]

Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)

           = [tex]\frac{1}{10} +\frac{1}{10} = \frac{1}{5}[/tex]

Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].


Related Questions

help plz i’ll give extra points

Answers

Answer:

240

Step-by-step explanation:

240 + 60 = 300 you can tell this by realising that ratio to have 4x one over the other would be 20 per 100, using this rate 3x, 240 and 60

Answer:

x = 60

Step-by-step explanation:

Length of small piece = x

length of large piece = 4x

x+ 4x = 300

5x = 300

x = 60

A cylindrical water vessel of diameter 1.4 m holds 770 litres of water. find the height of the vassel​

Answers

Answer:

Answer at the bottom!!

Step-by-step explanation:

Given the diameter of cylinder = 1.4 m

=> Radius = 1.4/2 = 0.7 m

We know that volume of a cylinder = πr²h

= 3.14 x 0.7² x 2.1= 3.23 m³

For the pipe radius = 3.5/2 = 1.75 cm = 0.0175m

water flows at a rate of 2 m per second

So, volume of water discharged in one second by pipe = πr²L

= 3.14 x 0.0175² x 2=0.0019

Hence time taken by the pipe to fill the cylinder

= 3.23/0.0019= 1700 sec

= 28 minutes and 20 seconds

Hence the time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.

Hope this helps!!

Please Help Me with this one too

Answers

Answer:

The second one

Step-by-step explanation:

0.5 times 5 is 2.5

2.5 plus 14 is 16.5

0.5 times 10 is 5

5 plus 14 is 19

And so on

Will be mark brainless

The number of hours that 20 people spent watching television per day, in relation to age, is graphed. This quadratic equation represents the
model for the set of data.

y = 0.00412 - 0.3141 +7.5

Based on the model, approximately how much time does an 18-year-old spend watching television each day?

A. 2 hours

B. 0.5 hour

C. 7.5 hours

D. 3 hours

Answers

Answer:

D. 3 hours

Step-by-step explanation:

A CD that has a regular price of $15.50 is on sale at a 25% discount. What is the sale price with a 7% sales tax? Round to the nearest cent.

Answers

Answer:

The answer should be $12.43

What is an equation of the line that passes through the points (-4,-1) and (2, 8)?

Answers

Answer: y=(3)/(2)x+5

Step-by-step explanation:

EEEEeee Can someone help?

Answers

Answer:

5.61 billion dollars.

Step-by-step explanation:

4.61+1.03=5.61

Answer:

0.223

Step-by-step explanation:

Change the divisor 4.61 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

103 ÷ 461 = 0.223

and therefore:

1.03 ÷ 4.61 = 0.223

Both calculated to 3 decimal places.

Cantidad separada por un punto

Answers

Answer:

de qye hablas xd

Step-by-step explanation:

cual es la pregunta.?

Answer:

las opciones?

Step-by-step explanation:

the options?

pythagorean theorem

find a third side in the simplest radical form:)

will give brainist and 20 points:)

Answers

3 √10
I think since a^2+b^2=c^2

Answer:

well for me

Step-by-step explanation:

hypotenus square=opposite square+adjacent square

H^2=O^2+A^2

H^2=3^2+9^2

H^2=9+81

H^2=90

H=✓90

H=9.487

H=9.5

Hi I need to figure if this is a function?

Answers

Answer:

no it is not a function

Step-by-step explanation:

function- for every input there is only one output

(1,7),(2,13),(3,13) it has two 13 so it is not a function

Select all of the points that are in the solution set graphed below.

Answers

B. (2,4) and D. (7,1) are both in the equation

the horizontal line is the x-axis and the points are written by (x,y) so the x is the first number written

we can check that 2,4 is a point on the line by finding 2,4 on the graph. once we find it, we see it coincides with the line as does 7,1

(this is just an explanation in case u want to understand why)

Triangles 1 and 2 are both isosceles. They each have a 30 degree angle. Explain why these triangles don't have to be similar to each other.

Answers

Step-by-step explanation:

Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.

Since they do not have all 3 congruent angles, they are not similar.

Can someone draw like how to divide 12/5

Answers

Answer:

12 divide by 5 is easy lemme show you

Step-by-step explanation:

The stuff on the left

laura graphed the function below y = 1 / 2(One over two)x + 4

if the range of the function is restricted to 2 ≤ y ≤ 6, what is the domain?

Answers

Step-by-step explanation:

y = 0.5x + 4

When y = 2, x = -4. (shown in graph)

When y = 6, x = 4. (shown in graph)

Hence the domain would be -4 <= x <= 4.

Divide.

2/3÷4/5 please help!!!

Answers

Answer:

5/6

Step-by-step explanation:

2/3 ÷ 4/5

~Copy Dot Flip

2/3 * 5/4

~Multiply

10/12

~Simplify

5/6

Best of Luck!

Answer:

5/6

Step-by-step explanation:

Keep Change Flip

2/3 x 5/4 = 10/12

10/12 simplifies to 5/6

How many real and imaginary roots are there?

Answers

Answer:

5

Step-by-step explanation:

When Keisha installed a fence along the 200-foot perimeter of her rectangular backyard, she left an opening for a gate. In the diagram below, she used x to represent the length, in feet, of the gate.
.
What is the value of x, if the equation 2(x + 60) + 2(30) = 200 represents the Perimeter for the fencing of the backyard?

Answers

Answer:

Step-by-step explanation:

From the picture attached, equation of the perimeter of the fence of the backyard should be,

(x + 60) + (60) + 2(30) = 200

x + 2(60) + 2(30) = 200

x + 120 + 60 = 200

x + 180 = 200

x = 200 - 180

x = 20 ft

If the given equation for the perimeter for the fencing of the backyard (As given in the question) is,

2(x + 60) + 2(30) = 200

2x + 120 + 60 = 200

2x + 180 = 200

2x = 20

x = 10 ft

Answer:

2(x + 60) + 2(30) = 200

2x + 120 + 60 = 200

2x + 180 = 200

2x = 20

x = 10 ft

I need help with this question in Geometry.

Answers

Answer:

846 in

Step-by-step explanation:

48*15+21*6

720+126=846

Answer:

846 square inches.

Step-by-step explanation:

All you have to do is find the area of the net for the seat back.

Bottom and Top

L = 21 + 3 + 21 + 3   = 48

W = 15

Area

Area = L * w

Area = 48 * 15

Area =                                                       720

Area of the 2 sides .

L = 21

w = 3

Area =2 * L * w    There are 2 of them

Area = 21*3 * 2                                         126

Total                                                         846  

Anyone good at math? will give brainlest to correct
A product goes from $25 to $27 in price.

The product has a percent increase of _____.

Answers

Answer:

8%

Step-by-step explanation:

27 - 25 = 2

2/25 x 100 = 8%

8% increase

answer is 8%

Answer:

8%

Step-by-step explanation:

2/25 is equal to 8/100 so therefore it is 8%

IM LITTERLY ON A MEET whats 4.01 in word form? Mixed number form?

Answers

Answer:

Four and one hundreds

Step-by-step explanation:

Answer:

word form: four and one hundredth

mixed number: 4[tex]\frac{1}{100}[/tex]

Step-by-step explanation:

four and one hundredth

4[tex]\frac{1}{100}[/tex]

hep asap! i will mark you brainliest

Answers

Answer:

The second box for b will be 7

Step-by-step explanation:

If c = 10 , b = 5

If c = 14 , b = 7

If c = 18 , b = 9

If c = 22 , b = 11

If c = 26 , b = 13

Answer:

7

Step-by-step explanation:

I know

whats the answer?!?!?

Answers

Answer:

3 + 5 + 7

Step-by-step explanation:

In addition it does not matter what order the numbers are in.

Pls pick one option to help me out

Answers

option is c=2/3

2/3+ 1/7 = 17/21

Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny

Answers

Answer:

hi

Step-by-step explanation:

Answer:   42.06 dollars

=================================================

Explanation:

x = price of camera before tax

1.07x = price of camera after tax

note how 1.07 is the result of 1 + 0.07

1 = 100%

0.07 = 7%

1.07 = 107%

So 1.07 means the price has gone up by 7%

Set 1.07x equal to 45 and solve for x

1.07x = 45

x = 45/1.07

x = 42.0560747663551

x = 42.06

The highest price Eddie can afford is $42.06, which is the value of the camera before tax is applied

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

note how 7% of 42.06 = 0.07*42.06 = 2.9442 = 2.94

So the tax is $2.94 which adds onto the $42.06 to get

2.94+42.06 = 45

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+218x+75

Answers

Answer:

6.81s

Step-by-step explanation:

First you must know that the velocity of the body is zero at the maximum height.

v =dy/dx

v= -32x+218

Since v = 0

-32x+218 =0

32x =218

x= 218/32

x = 6.81s

Hence the rocket reaches its maximum height after 6.81s

Answer i got it wrong it was 5.94

Step-by-step explanation:

The largest ball of yarn ever created has a radius of 6 feet. It took 30 years to create.

Using 3.14 for pi which choice is the volume of the ball of yarn nearest hundred

87.85 cubic feet
150.72 cubic feet
834.68 square feet
904.32 cubic feet​

Answers

Answer:

904.32 cubic ft

Step-by-step explanation:

To find the volume of a sphere, the formula is [tex]4\pi\frac{r^3}{3}[/tex]

First, 3.14 * 4 for 12.56.

The radius is 6, and that cubed is 216.

After that, divide 216 by 3 for 72

Then, 12.56 times 72, which gets you the final answer of  904.32 cubic ft.

(10 * 72) + (2 * 72) + (0.5 * 72) + (0.06 * 72)

720 + 144 = 864

864 + 36 = 900

900 + 4.32 = 904.32

Your answer is D, I took the test.

8h-19 for h=4 please help me I need help !?​

Answers

Answer:

13

Step-by-step explanation:

you have to do 8 times 4 minus 19

hope this helps dont 4get to like and star

-mercury

Answer:

13

Step-by-step explanation:

Given

8h - 19 ← substitute h = 4 into the expression

= 8(4) - 19

= 32 - 19

= 13

Which of the following is the position of median? *
(N+1)/4 item
3(N+1)/4 item
3(N+1)/2 item
(N+1)/2 item​

Answers

Answer:

(N+1)/2 item

Step-by-step explanation:

(N+1)/2 item is the correct answer.

A 3-gallon container of window cleaner costs $23.88. What is the price per quart?

Answers

Answer:

i think its 1.99

Step-by-step explanation:

Answer: $1.99

Step-by-step explanation:

One gallon is 4 quarts. 23.88/3 is 7.96. Each gallon is $7.96. Since there are 4 quarts in a gallon, 7.96/4 is 1.99. Each quart is $1.99

pleasee help i put it as 24 points and I will mark brainliest thank you

Answers

They will need to be it on day 250 because 500/2=250

Hope this helps

Have a happy holidays
you have to divide 500 by 2
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