A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box without replacement. What is the probability that exactly 2 are white and 2 are red

Answers

Answer 1

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.


Related Questions

Lila would like to take a ceramics class the class cost $120 she have saved $80 so far

Answers

Not sure what the question is, but she needs $40 more to afford the class.

Help!!! can someone answer these, Thank You!

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I think we need to see question number 2 since number 3 is sequential and can’t be answered without it

457x64-(163+208x45) + ( 2820÷20)-1802

Answers

Answer:

18064

Step-by-step explanation:

these equations are always in this order:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".

10 points, please fast !!!!!

Answers

Answer:

2/1 a improper fracrion 1/2 is a proper fraction

Step-by-step explanation: i just know those two sorry

Answer:

slope = 2

Step-by-step explanation:

slope is defined as change in y over change in x. for every +1 in the x direction, y receives +2. 2/1 = 2

Someone please help with this math question, it is not hard if you're good at math, but I'm on a test.

Answers

Answer:

3

Step-by-step explanation:

Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3

domain. range

y =×2- 2 ×- 3​

Answers

Answer:

x=  

2

−y+x  

2

−3

Step-by-step explanation:

Pasos para resolver una ecuación lineal

y=x2−2x−3

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.

x  

2

−2x−3=y

Resta x  

2

 en los dos lados.

−2x−3=y−x  

2

 

Agrega 3 a ambos lados.

−2x=y−x  

2

+3

Divide los dos lados por −2.

−2

−2x

=  

−2

y−x  

2

+3

 

Al dividir por −2, se deshace la multiplicación por −2.

x=  

−2

y−x  

2

+3

 

Divide y−x  

2

+3 por −2.

x=  

2

−y+x  

2

−3

Brahmagupta’s solution to a quadratic equation of the form ax2 bx = c involved only one solution. Which solution would he have found for the equation 3x2 4x = 6? x = x = x = x =.

Answers

Answer:

34

Step-by-step explanation:

[tex](8+0+-2²-7)²+7[/tex]

Answers

[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]

ok done. Thank to me :>

What is the Slope of the line that passes through points (4, -2) and (3, 1)?

Question 3 options:

2


3


-2


-3

Answers

Answer:

-2.......................

3/7 rounded to the nearest thousand

Answers

3/7= 0.42857143
rounded to the neared thousandth, it is 0.429
The answer is 0.429
Have a great day/night

A small business reported a net loss of $45 in January and a gain of $55 in February. What is the company's net profit?

Answers

Gain - loss = profit
55- 45 = $10 net profit

Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Answers

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer:

substitution entry fee=$10 each ticket=$2

Step-by-step explanation:

1 + tan^2 (π/6) = _______.


A. csc^2 (π/6)

B. sec^2 (π/6)

C. cot^2 (π/6)

D. 1 - tan^2 (π/6)

Answers

Answer: B??

Step-by-step explanation:

Correc me if i wrong ovo

x²-x-(a+1)(a+2)
Find common multiple

Answers

Answer:

x2 - x - a2 - 3a - 2

Step-by-step explanation:

STEP 1

 ((x2) -  x) -  (a + 1) • (a + 2)

STEP 2

Final result :

 x2 - x - a2 - 3a - 2

Find the missing angle. *
45
X
65
45
52
O 25

Answers

Answer:

Ans is 65

Mark me BRAINLIEST

Answer:

x is 45

Step-by-step explanation:

since the interior of a circle is 360, and that portion of the outside Is 45, we add 45 to get 90.since there are 4 quarter in a circle, each one would equal 90. 90 times 4 is 360.

What is 5,000 x 1,000

Answers

5000 000
Five million

Answer:

The Answer is 5,000,000

Hope this helps!!

Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot and
enter the number only.

I need the answer quick please!

Answers

Answer:

125.1698 Ft

Step-by-step explanation:

You are taking a taxi from the airport to your hotel. The taxi charges a base fee of $5.25 and then $1.25 per mile. Your fare was $75. How many miles did you travel?

Answers

Answer:

54.75 is the answer I got

Step-by-step explanation:

first I calculated 75÷1.25 then subtracted the fare which is 5.25

If -2 - 4x = -8x + 3x,
then what is X-2?

Answers

Answer:

-0.8

Step-by-step explanation:

-2 -4 = -8x + 3x

-6 =-5x

x = 1.2

so x-2 =

1.2 -2 = -0.8

A man with a seven gallon bucket and a four gallon bucket goes to a well to get exactly five gallons of water. He has no container other than the buckets. How can he do it?​

Answers

This I think could be technically answered in a couple of ways. Fill the 4 gallon bucket up and then fill the 7 gallon bucket up 1/7 of the way. Or fill the 4 gallon bucket up and transfer to the 7 gallon bucket and fill the 4 gallon bucket up 1/4 of the way. Either way the 1/4 or the 1/7 will be a close estimate to get your 5 gallon bucket. I hope this helps.

5.6p-3=-9+2(p+7) in a five step equation.

Answers

Answer:

p=2

Step-by-step explanation:

6p-3=-9+2(p+7)

6p-3=-9+2p+14                       Distributive Property

6p-3=2p+5                              Combine like terms/ Simplify

   +3       +3

━━━━━━

6p=2p+8                                  Addition Property of Equality

-2p  -2p

━━━━━━

4p=8                                         Subtraction Property of Equality

━  ━

4     4

p=4                                            Division Property of Equality

solve pls brainliest

Answers

Answer:

420

Step-by-step explanation:

300+40% equals 420 so he earned 420 last month from the commission

Answer:

$120

Step-by-step explanation:

A 40% commission means he earns 40% of the total revenue. That's 40% of $300 in this case.

To convert from a percentage to a multiplier, divide by 100:

[tex]\frac{40}{100} =0.4[/tex]

Then multiply the total revenue by that number:

[tex]300*0.4=120[/tex]

Lindsay got her hair cut. The cost of a haircut
is $16. If she wants to tip her hairstylist 20%,
how much should she leave for the tip?

Answers

16 x .20 add the .20 value for the total price

HELP ASAP!!!
What are the zeroes of f(x) = x2 − 6x + 8?

x = −4, 2
x = −4, −2
x = 4, 2
x = 4, −2

Answers

Second option (-4,-2) is correct

Answer:

×=2 is the right answer

and ×= -4 also

Kathleen jarred 24 liters of jam after 4 days. How many days does Kathleen need to spend making jam if she wants to jar 36 liters of jam in all? Solve using unit rates.

Answers

Answer:

36 to 6

Step-by-step explanation:

24/4 is 6

6 litters a day.

36/6 is 6

6 days for 36 litters.

the answer is 36 litters to 6 day.

information about five planets is shown in the table below. write down the name of the planet with the greatest mass

Answers

Answer:

Jupiter

Step-by-step explanation:

Jupiter is 318 times as massive as earth

Jupiter mass is 300 times more bigger than earth and it has a diameter at 140,000 km

What is 3, 4, 5, 6, and 7.

Answers

3-reflexive
4- angle addition postulate
5-?
6-?
7-

brainly helpppp me out

Answers

Answer:

D

Step-by-step explanation:

I think it might be (D) $2x-5

If the chance of rolling a 3 on a dice is 1/6, what is the chance of not rolling a
3?

Answers

Answer:

5/6

Step-by-step explanation:

Assuming we are using a standard 6-sided die, we can say that there are 6 numbers on the die. 1, 2, 3, 4, 5, and 6. The chance of rolling any number, including 3, is 1/6

The change of not rolling a 3 would be 5/6, because there are 5 other numbers besides 3

What number has 7 as 1/10

Answers

70
7x10=70
So 1/10 of 70 is 7
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