A box contains 5 red, 4 white and 6 blue balls. If three balls are drawn at random without replacement, determine the probability that none of the balls selected is red.

Answers

Answer 1

Answer:

The probability that none of the balls selected is red ²⁴/₉₁

Step-by-step explanation:

Given;

number of red balls, R = 5

number of white balls, W = 4

number of blue balls, B = 6

Total number of balls, = 5 + 4 + 6 = 15

Probability of selecting 3 none red balls = P(WWW) or  P(BBB) or P(WWB) or  P(WBW) or P(BWW) or P(BBW) or P(BWB) or P(WBB)

[tex]P = (\frac{4}{15} \times \frac{3}{14} \times \frac{2}{13} ) + (\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13} ) + (\frac{4}{15} \times \frac{3}{14} \times \frac{6}{13} ) + (\frac{4}{15} \times \frac{6}{14} \times \frac{3}{13} ) + \\\\(\frac{6}{15} \times \frac{4}{14} \times \frac{3}{13} ) + (\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13} ) + (\frac{6}{15} \times \frac{4}{14} \times \frac{5}{13} ) + (\frac{4}{15} \times \frac{6}{14} \times \frac{5}{13} )[/tex]

[tex]P = \frac{24}{2730} + \frac{120}{2730} + \frac{72}{2730} +\frac{72}{2730} + \frac{72}{2730} + \frac{120}{2730} + \frac{120}{2730} + \frac{120}{2730} \\\\P = \frac{720}{2730} \\\\P = \frac{24}{91} \\\\[/tex]

Therefore, the probability that none of the balls selected is red ²⁴/₉₁


Related Questions

NO LINKSS!! But pls help me What is the value of X?
70°
35°
X

Answers

Answer:

x=75

I hope it's helps you

Please answer these :
p + 3 = - 12
m - 11 = 1

Answers

Answer:

12,-15

Step-by-step explanation:

P= -15 and then m=12

what's the perimeter of the square of 5x+2​

Answers

Answer:

10x + 8

Step-by-step explanation:

If the length of one side is 5x + 2, then the perimeter of the square is

4(5x + 2) = 10x + 8

The is Answer: 10x + 8

What would y equal for this question

Answers

Answer:

12

Step-by-step explanation:

When looking at triangles it's always important to remember what the ratios are to parts of triangles. In the case of this triangle let's give the value 24 the variable of E. In every scenario in which Y is positioned above 24 or E, the answer is always E/2=y, or 24/2=y ---> 12.

y / 24 = 12 / 12 + 18

y / 24 = 12 / 30

y / 24 = 2 × 6 / 5 × 6

y / 24 = 2 / 5

y = 24 × 2 / 5

y = 48 / 5

y = 96 / 10

y = 9.6

Math is my problem help me

Answers

Answer:

on the second one you put 5 basketballs and four baseballs

on the third one you in think your gonna put the same thing as the first one

I am not sure about the last sorry in advance

I need help with this

Answers

Answer:

never, never, sometime, sometimes, and always.

Step-by-step explanation:

I'm smart lol

Simplify the expression

Answers

B. 7a^2b-4ab^2-ab+10a

Answer:

7a^2b-4ab^2-ab+10a

Step-by-step explanation:

(12a^2b+8a-5a^2b+2ab)-(4ab^2+6ab-2a-3ab)

12a^2b+8a-5a^2b+2ab-4ab^2-6ab+2a+3ab

(12a^2b-5a^2b)+(-4ab^2)+(2ab+3ab-6ab)+(8a+2a)

7a^2b-4ab^2-ab+10a

what is cos 80 divided by the squareroot of tan 25 without using a mathematic table or a calculator​

Answers

Answer:

here it is

Step-by-step explanation:

cos 80/tan 25

by phone calculator

Kareem works mowing lawns and babysitting. He earns $8.60 an hour for mowing and $8.10 an hour for babysitting. How much will he earn for 7 hours of mowing and 5 hours of babysitting?

Answers

Answer:

$100.7

Step-by-step explanation:

(8.60) x 7 = 60.2

(8.10) x 5 =  40.5

60.2 + 40.5 = 100.7

Answer:

$100.70

Step-by-step explanation:

x=8.60(7)+8.10(5)

x=100.7

can someone help me with my homework?

(I need to show my work btw)

here’s the question :

At the Pokemart, you bought 3 potions for $20 and 1
revival for $80. How did the withdrawals change the
amount in your account?

Answers

Answer:

You lost $140.

Step-by-step explanation:

3*20=60

60+80=$140 so the total amount spent is $140.

Since you're spending money the amount in your account is going to drop by $140.



help pls D:


9. The table represents some points on a linear
function. Which situation can be modeled by this
function?
X
3
5
7
11
Y
228
380
532
836
A. The cost of buying number of concert tickets for
$76 each.
B. The number of pages y that can be read in 76
minutes.
C. The number of gallons of fuel xthat can be used to
travel 228 miles.
D. The amount of money spent from a savings
account with y dollars.

Answers

A. The cost of buying x number of concert tickets for $76 each.

Answer:

A

Step-by-step explanation:

The difference of twice a number and five is three. Find the number

Answers

Answer:

The number is 4.

The step describe to solve the problem is: add five and then multiply by

Step-by-step explanation:

Let the number be x.

As per the given condition as:

The difference of twice a number and five is three.

"Twice a number" means

"difference of twice a number and five" means

therefore, the translation of the given word problem to an equation is:

Now, solve the equation :

Addition Property of equality states that you add the same number to both sides of an equation.

Add 5 to both sides of an equation we get;

2x-5+5=3+5

Simplify:

2x = 8

Multiplication property of equality states that you multiply the same number to both sides of an equation.

Multiply by  both sides we get;

Simplify:

x = 4

The steps which describe to solve the problem is: add five and then multiply by

Therefore, the number x = 4

4 the answer is four as 4×2=8 and 8-5=3

if JK is tangent to circle L, find x​

Answers

Answer:

if JK is tangent that means it creates 90° with X that is the ray of the circonference.

to find X first you have to find L and to do so you use the inverse of pythagorean theorem cause you have the hypotenouse :

sqr( 25^2-1^2) = 24.97

now divide by 2 and you have 12.49

a little help??????????????

Answers

Answer:

b for the first one and A for the second

Step-by-step explanation:

Answer:

well it seems the first one is B. The second one is A

Step-by-step explanation:

hope it helps

have a great day

Determine the combined surface area of a cube with an edge that is 3.5 cm long and a cube with an edge that is 2 cm long.

Answers

Answer:

97.5

Step-by-step explanation:

3.5cm cube surface area:

3.5*3.5*6 (the 6 faces of the cube) =

73.5

2cm cube surface area:

2*2*6 =

24

combined surface area:

73.5+24=

97.5

Consider this exponential equation:
f(x) = 5(3)^x
Identify the following:
Domain
Range
Y-intercept

Answers

Step-by-step explanation:

F( x ) = 5 (3) ^ x

Y intercept

Let x = 0

f(0) = 5× 3 ^ 0

f(0 = 5 × 1

f(0) = 5

X intercept

let y = o

0 = 5 × 3 ^x

No x intercept/ zero

therefore

Vertical intercept (0; 5)

Domain XER

▪︎this refer to the values of X

Lila is making 1/4 of a recipe for a bake sale. The original recipe calls for 2/3 cups of sugar. How much sugar does Lila need to

complete her recipe?

Answers

Answer:

Step-by-step explanation:

1/4 of 2/3 is just (1/4) / (2/3) or (1/4)(3/2)

1/4 * 3/2= 3/8

She needs to use 3/8 of a cup

The sugar needed by Lila to make 1 / 4 of a recipe is 1 / 6 of the total sugar needed to complete her recipe.

What is fraction?

A fraction is a percentage of a whole. This entire sentence could be referring to a single location or a collection of locations. The English word "fraction" originates from the Latin word "fraction," which means "to break." As the first society to comprehend fractions, the Egyptians used fractions to solve a number of mathematical problems, including the distribution of food and resources and the absence of a metal currency.

Given:

The sugar quantity in the original recipe = 2 / 3

If Lila is making 1 / 4 of a recipe, so she needs 1/ 4 of the total sugar in the recipe,

The sugar needed by Lila =  1 / 4 of 2 / 3

The sugar needed by Lila = 1 / 4 × 2 / 3,

The sugar needed by Lila = 1 / 6 of the total sugar needed in the recipe.

Therefore, the sugar needed by Lila to make 1 / 4 of a recipe is 1 / 6 of the total sugar needed in the recipe.

To know more about fractions:

https://brainly.com/question/61672

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6 x 10^ is how many times as large as 3 x 10^3?

Answers

Answer:  1800000000

Step-by-step explanation:

Answer:

200 Times as large

Step-by-step explanation:

hlp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

A B or E

I also have trouble with this sry :(

4 1/5 kg: 630 g simplify this question

Answers

Answer: 2646kg

Hope this helps

(a) Jane pumped 54 gallons of water out of her pool. This was done over a period of 9 minutes at
a constant rate. What was the change in the amount of water in the pool each minute?
gallons

Answers

Answer: -6
Step-by-step explanation:
From the question, Elsa pumped 18 gallons of water out of her pool and this was done over a period of 3 minutes at a constant rate. Since it is done at a content rate, to get the change in the amount of water in the pool each minute, we divide 18 gallons by 3. This can be written mathematically as:
= 18 gallons ÷ 3
= 6 gallons
Change = -6
The change in the amount of water in the pool each minute will be -6gallons hope this helps

Answer:

The change in the amount of water in the pool each minute was 6 gallons.

Step-by-step explanation:

You divide 54 gallons by 9 minutes to get the number of gallons per minute.

54/9 = 6

A movie theater sells morning tickets (m) for $4 and regular tickets (e) for $6. During one week, the theater earned $6000. The theater sold 890 more regular tickets than morning tickets.

Write a system of liner equation to represent this situation. (Solve by using Systems by Substitution)

Answers

Answer:

Step-by-step explanation:

Answer:

m = 66 & e = 956

Step-by-step explanation:

Create your equations:

$4m + $6e = $6000

m + 890 = e

Substitute/solve for morning tickets:

$4m + $6e = $6000     <--    m + 890 = e

$4m + $6(m + 890) = $6000

$4m + $6m + $5340 = $6000

$10m = $6000 - $5340

m = $660/$10

m = 66 morning tickets

Solve for Regular tickets:

m + 890 = e   <---  m = 66

66 + 890 = 956

e = 956 regular tickets

Double check work:

$4m + $6e = $6000

$4(66) + $6(956) = $6000

Leave a like and mark brainliest if you like this answer

If 5x + y = 20 and 10x - 2y = 50 are two linear equations in two variables. Find the value of x and y.
x = 1, y = 1
x = 2, y = 1/2
x = 9/2, y = -5/2
x = 1, y = 5/2

Answers

Answer:

x = 9/2, y = -5/2

Step-by-step explanation:

5x + y = 20

10x - 2y = 50

There's multiple ways to do this, but I will solve using substitution.

Isolate variable y on the first equation.

5x + y = 20

y = 20 - 5x

Substitute the value of y for 20 - 5x in the second equation.

10x - 2(20 - 5x) = 50

Use distributive property:

10x - 40 + 10x = 50

Combine like terms:

20x - 40 = 50

20x = 90

x = 90/20

x = 9/2

Substitute x for 9/2 and solve for y:

y = 20 - 5(9/2)

y = 20 - 45/2

y = 40/2 - 45/2

y = -5/2

Answer:

x =9/2, y = -5/2

Step-by-step explanation:

5(9/2) + -(5/2)= 20

45/2 + -5/2 = 20

40/2 = 20

10(9/2) - 2(-5/2) = 50

90/2 + 10/2 = 50

45 + 5 = 50

How do you find the volume?

Answers

Answer:

In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height

Step-by-step explanation:

2*3*5*11+x*2 = 662
What's x?

Answers

Answer:

x = 166

Step-by-step explanation:

2 * 3 * 5 * 11 + (x * 2) =

6 * 5 * 11 + (x * 2) =

30 * 11 + (x * 2) =

330 + (x * 2) =

330 + (166 * 2) =

= 662

So, the answer is 166.

Hope this helps! :)

Below are two parallel lines with a third line intersecting them.

Answers

180-48= 132 ( I think)

suppose a city with population 100,000 has been growing a rate of 4% per year. if this rate continues find the population of this city in 10 years​

Answers

Answer:

f(x) = a(1 + r)x f(x) = 100000(1+0.04)^10 = 148,024 I believe

Step-by-step explanation:

what is 700 times 10

Answers

Answer:

7000

Step-by-step explanation:

Here we will show you and explain using simple algebra how to calculate "what" in this sentence: "700 is 10 times as much as what?"

When using algebra to solve a word problem, read the word problem thoroughly to make sure you understand exactly what it is asking.

To clarify, "700 is 10 times as much as what?" is the same as "700 is 10 times as much as x", "What is x?" or "10 times a number will have a product of 700 - what is that number?"

Based on that information, we created the following equation to solve "700 is 10 times as much as what?":

10 • x = 700

To solve for x, we divide both sides by 10 to get x by itself. Here is the math to illustrate:

10 • x = 700

10x = 700

10x/10 = 700/10

x = 70

Thus, the answer to "700 is 10 times as much as what?" is 70.

In other words, 700 is 10 times as much as 70 because 10 times 70 equals 700. Note that the answer is rounded if necessary.

The multiplication 700 and with the number 10 gives the result 7000.

In multiplication, the numbers being combined are called factors, and the result is called the product.

When you multiply 700 by 10, you are essentially adding 700 to itself 10 times.

Mathematically, it can be represented as:

700 * 10 = 700 + 700 + 700 + 700 + 700 + 700 + 700 + 700 + 700 + 700

             = 7,000

So, 700 times 10 equals 7,000.

Learn more about multiplication here:

https://brainly.com/question/11527721

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2 Which is a factor of x² + 5x – 24?
1) (x + 4)
2) (x - 4)
3) (x + 3)
4) (x – 3)​

Answers

Answer:

(X+3)

Step-by-step explanation:

2. How many zeros does this parabola have?

Answers

two i believe (where it’s intersecting the x-axis)
It has two zeros it crosses the x-axis at two point .
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