There are 11 counters in a bag.
8 of the counters are green.
3 of the counters are blue.
Sid takes at random two counters from the bag.
Work out the probability that Sid takes one counter of each colour.

Answers

Answer 1

Answer:

For a green and a blue  P1 = 8/11 * 3/10 = (80 * 33) / 110^2 = .218

For a blue and a green  P2 = 3/11 * 8/10 = (30 * 88) / 110^2 = .218

The probabilities are the same

Answer 2

The probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.

What is an additional rule of probability?

When two events P(A) and P(B) occurs one time in an event of which occurs two times. Then the probability of occurring exactly one time both events is,

[tex]P=P(A)\times P(B)+P(B)\times P(A)[/tex]

There are 11 counters in a bag. In which,

8 of the counters are green.3 of the counters are blue.

Sid takes at random two counters from the bag. Probability that Sid takes green counter is,

[tex]P(A)=\dfrac{8}{11}[/tex]

The probability that Sid takes blue counter is,

[tex]P(A)=\dfrac{3}{11}[/tex]

The probability that Sid takes one counter of each color is,

[tex]P=\dfrac{8}{11}\times\dfrac{3}{11}+\dfrac{3}{11}\times\dfrac{8}{11}\\P=\dfrac{24}{121}+\dfrac{24}{121}\\P=\dfrac{48}{121}[/tex]

Thus, the probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.

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Related Questions

A Function is defined as K(x)= 2x^2 -5x +3.The value of K(-3) is

Answers

Given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]

Given the function, [tex]K(x)= 2x^2 -5x +3[/tex], to find the value of K(-3), substitute -3 for x into  [tex]K(x)= 2x^2 -5x +3[/tex].

Thus, substitute:

[tex]K(-3)= 2(-3)^2 -5(-3) +3\\\\K(-3) = 18 + 15 + 3\\\\\mathbf{K(-3) = 36}[/tex]

Therefore, given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]

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someone pls help it’s due today :(

Answers

180 - 28 - 14 = 138

so 12x - 18 = 138

x = 13

Solve 1.25 x 4 + 3 x 2 divided by (1/2) to the 3rd power

Answers

The required solution to the given numerical expressions is 88.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have to determine the solution of 1.25 × 4 + 3 × 2 divided by (1/2) to the 3rd power

According to the given question,

⇒ (1.25 × 4 + 3 × 2) / (1/2)³

Apply the multiplication operation in the terms of the numerator,

⇒ (5 + 6) / (1/2)³

Apply the addition operation in the terms and expand the power of the denominator,

⇒ (11) / (1/8)

Reciprocal the term of denominator,

⇒ (11) × 8

⇒ 88

Therefore, the required solution to the given numerical expressions is 88.

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solve simultaneously for x and y if: x(x-3)+y(3-x)= 0​

Answers

x(x-3)+y(3-x)=0
(x-3)+(x-y)=0
x=3 x=y

what is a two way frequency table

Answers

Answer:

A two-way table is a way to display frequencies for two different categories gathered from a one group of people.

Step-by-step explanation:

Answer:

A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.

Step-by-step explanation:

angle x and angle y are complementary angles. angle x is eight times larger than angle y. what are the measurements of angle x and angle y?

Answers

Answer:

x=80

y=10

Step-by-step explanation:

1. Which of the following situations could be represented by the equation y = - 2x + 88

a) Trey has traveled 2 miles and continues to travel ala speed of 88 miles per a hour b) Greg bas $88 in a short term savings account, and he deposits $2 each day. c) The temperature in Williamsburg Is 88° and increases about 2° each houn d) Priscilla is grading her homework and has an 88 so far. She will lose 2 points​

Answers

Answer:

Y = -44 (hope this helps :)

Step-by-step explanation:

=2Y+88

We move all terms to the left:

-(2Y+88)=0

We get rid of parentheses

-2Y-88=0

We move all terms containing Y to the left, all other terms to the right

-2Y=88

Y=88/-2

Y=-44

Answer:

its D

Step-by-step explanation:

I got this correct in schoology

Is t = –2 a solution to the inequality below?

–1 ≤
t

yes or no

Answers

the inequality Is showing that -1 is less than or equal to t. If t was -2 then this would not make sense, since -1 is greater than -2.

Hope this helped

deffenition of polynomial function

Answers

Answer:

A polynomial function is a function such as a quadratic, a cubic,a quadratic, and so on, but to sum it up for you the answer is involving only non negative integer power of x.

4d=12 solve for the variable

Answers

Answer; d=3
Let me know if you need an explanation!

Question 1: Select the property shown
by the statement: 3a • 5b = 3.5 a.
b
A. Commutative
B. Associative
C. Reflexive
D. Symmetric
E. Transitive

Answers

Answer:

E BC itsay 3a 5b = 3.5 so it E

Simplify the following expression.

5/6 x 3/5

Answers

Answer:

1/2

Step-by-step explanation:

5/6 • 3/5

15/30 = 1/2

Answer:

1/2

Step-by-step explanation:

For fraction multiplication, multiply the numerators and then multiply the denominators to get

5 × 3/ 6 × 5 = 15/30

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using

GCF(15,30) = 15

15 ÷ 15/30 ÷ 15 = 1/2

Therefore:

5/6 × 3/5 = 1/2

help plz I need to solve this ​

Answers

Answer:

2,5

Step-by-step explanation:

Answer:

Slope = 2.5

This means that 2.5 mm of rain falls every 1 hour

Step-by-step explanation:

Slope if the line is y2-y1/x2-x1

so 10-5/4-2

5/2

2.5 mm/hr

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Step-by-step explanation:

the scaling factor from 15 to 45 is 3.

we need to shoot the same to the width :

14.5 × 3 = 43.5 cm


[tex] \frac{8}{ax} - 5 = - 3[/tex]
Solve for x. Assume a doesn't equal 0.​

Answers

Answer:

x=4/a

Step-by-step explanation:

8/ax - 5= -3

          +5    +5

8/ax=2

* ax     *ax

    8=2ax

  /2a     /2a

8/2a=x

simplify

4/a=x

HELP PLEASE ITS HARD

Answers

Answer:

the answer to your question is 9cm² for the Area

the answer is 9 cm square

Jack and dwayne are preparing for their school s winter bake sale. They have made 318 Brownies. They plan on placing 3 brownies each into small bags to sell. how many bags will they need?

Answers

Do 318 divided by 3

106 bags needed to pack all the brownies.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jack and Dwayne made 318 Brownies.

Each small bag contain 3 Brownies.

So, the number of bags required

= 318 / 3

= 106 bags

Hence, 106 bags needed.

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50 POINTS What is the greatest common factor of 4k, 18k4, and 12?
A) 2
B) 4
C) 2k
D) 4k

Answers

Answer:

The greatest common factor of 4k, 18k4, and 12 is 2.

Answer A 2

Hope this helps

PLZZZ HELPPPP MEEEEEEE​

Answers

Step-by-step explanation:

I can help you, but first make me brainliest

Choose the graph of the inequality's solution. -4x + 8 > 12

Answers

Answer:

[tex]x < - 1[/tex]

You should have a circle on -1 with the arrow going left

Step-by-step explanation:

Subtract 8 from both sides.

[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]

[tex] - 4x > 4[/tex]

Divide by -4

[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]

Since you are dividing by a negative, you need to flip the inequality.

[tex]x < - 1[/tex]

xxdrddddfffffdxfddsdddqqwedaqwwssde

Answers

Answer:

B

Step-by-step explanation:

(5x - 2)² + 35x - 14 = - 12 ( factor out 7 from each term in 35x - 14 )

(5x - 2)² + 7(5x - 2) = - 12 ( add 12 to both sides )

(5x - 2)² + 7(5x - 2) + 12 = 0

Substitute m = 5x - 2 into the equation then in terms of m, the equation is

m² + 7m + 12 = 0 → B

Please help! It's a quiz and I can't check the answer so it needs to be correct!!!

Answers

Answer:

the answer is jesus asdlkfjsfs

Esitmate 242 PLEASEEEEEEEEE I NEED THIS

Answers

Estimating the value of 242+32
Round up the number 242 to 240.
240+32
Round up the number 32 to 30.
240+30
Add 30 to 240.
270
242+32≈270
The Estimated Value of 242+32 is 270.

Find the perimeter. Simplify your answer.

Answers

Answer:

The perimeter of the Parallelogram is 20z + 16

Step-by-step explanation:

For a Parallelogram

Perimeter = sum of all sides

P = (7z + 3) + (7z + 3) + (3z + 5) + (3z + 5)

P = 7z + 7z + 3z + 3z + 3 + 3 + 5 + 5

P = 20z + 16

Thus, The perimeter of the Parallelogram is 20z + 16

-TheUnknownScientist 72

Find the perimeter. Simplify your answer.

Answers

Answer:

Step-by-step explanation:

let :

a= 8u+1

b=8u+1

c=5

perimeter=a+b+c

perimeter=8u+1+8u+1+5

perimeter=16u+7 units

Answer:

16u+7

Step-by-step explanation:

isosceles triangle has two sides equal. 2(one of the sides)+the base(5)

Write an inequality to represent the possible
combinations of x cupcakes and y cakes sold.

Answers

Answer:

The inequality for this would be n ≥ 20.

We know this because it must be larger than 40. We also know it can possibly be equal because the statement says "at least".

Step-by-step explanation:

Solve for b: A = 1 2 (a + b)h.

Answers

Answer:UwU

Step-by-step explanation:

types of vertical mirrors​

Answers

Answer:

Rectangle.

Round.

Arched.

Novelty.

Square.

Oval.

Octagon.

Sunburst.

Hope this is what you're looking for :)

Brainliest please

need help ASAP its due tonight

Answers

Answer:

Step-by-step explanation:

15/3 + 3 =

15/3 + 9/3 =

24/3 =

8

2(15) + 3              30 + 3                    33

-------------  =       --------------   =     ----------------

   3                           3                      3

33/ 3 =

11

mark me brainliest :D

       

first one is 15 divided by 3 which is 5 so 5+3 and then the next answer is 11 because 2x15 is 30 and 30+3 is 33 and 33 divided by 3 is 11 so in conclusion
first answer: 8
second answer:11

Mr. discrete told his students if everyone in the class did at least 35 of the 40 homework assignments for second nine weeks he would add 4% to their final test if he determines the score by doubling the number of correct problems out of 50 and then adding the bonus which inequality would determine the fewest problems a student could answer correctly and still have a A?

Answers

you would have to do very good on it so try 4 questions

A student must answer at least 35 of the 40 homework assignments correctly to get an A.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the fewest number of problems a student could answer correctly and still get an A, we need to set up an inequality that represents the condition for getting an A.

If Mr. Discrete determines the score by doubling the number of correct problems out of 50 and then adding the bonus, then the score for each student can be represented by the equation:

2x + 4% × 50 = 100, where x is the number of correct problems.

If the student needs to get an A, then the score must be at least 90. Therefore, we can set up the inequality:

2x + 4% × 50 ≥ 90

Substituting 4% for 0.04, we get:

2x + 0.0450 ≥ 90

Solving for x, we find:

x ≥ 35

Therefore, to receive an A, a student must complete at least 35 out of the 40 homework assignments.

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